The coefficient of static friction for a car not to skid when traveling is: μ = (102 km/h)^2 / ((93 mm / 1000) m * (9.81 m/s^2))
To determine the coefficient of static friction required for a car not to skid when traveling at 102 km/h on a properly banked curve with a radius of 93 mm, we need to consider the forces acting on the car.
The vertical component of the car's weight (mg) is balanced by the normal force (N) exerted by the road surface. The horizontal component of the car's weight provides the centripetal force required to keep the car moving in a curved path.
The centripetal force is given by:
Fc = (mv^2) / r
where m is the mass of the car,
v is its velocity, and
r is the radius of the curve.
For the car not to skid, the friction force (f) between the tires and the road should provide the necessary centripetal force. The friction force is given by:
f = μN
where μ is the coefficient of static friction.
By equating the centripetal force and the friction force, we have:
(mv^2) / r = μN
Since the normal force is equal to the vertical component of the car's weight (mg), we can rewrite the equation as:
(mv^2) / r = μmg
The mass cancels out, and we are left with:
v^2 / r = μg
Solving for μ, we get:
μ = v^2 / (rg)
Substituting the given values, we have:
μ = (102 km/h)^2 / ((93 mm / 1000) m * (9.81 m/s^2))
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Particle Y is produced in the collision of a proton with a K- in the following reaction. K+pKº+K+Y The quark content of some of the particles involved are K-ūs kº - d5 2d. Identify, for particle Y, the charge. [1 mark] ....... 2e. Identify, for particle Y, the strangeness.
The charge of particle Y is 0, and its strangeness is 0.
In the given reaction, K- + p → Kº + K+ + Y, let's analyze the quark content and quantum numbers to identify the charge and strangeness of particle Y.
Initial state: K- has quark content (ūs) and a proton (p) has quark content (uud).
Final state: Kº has quark content (ds) and K+ has quark content (ūs).
To conserve quark content, the particle Y should have quark content (ud). This combination corresponds to a neutral pion (πº).
1. Charge of particle Y: A neutral pion (πº) has a charge of 0.
2. Strangeness of particle Y: Strangeness is a quantum number related to the presence of strange quarks (s) or anti-strange quarks (ū). As there are no strange quarks in the quark content of particle Y (ud), its strangeness is 0.
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How many tons of paper did Americans recycle in 2018? _______________. Show your work below:
Answer:
46 million tons
Explanation:
i dont know what im suppose to explain
HELP ME PLEASE I need the answer now and I will give all my brain lists
Answer:
I'd say it's B
Sorry if I get you wrong-
Think back to when you were a kid riding in the backseat of the car. Maybe you once had a milkshake in your hand when your mom hit the brakes. You were secured by your seat belt, but you jer-ked forward and the milkshake splashed all over the front seat…and your mom. That situation probably never happened to you. But think about something that has happened to you physically—a fall, a jump, an accident, or something you may have done hundreds of times in your favorite sport. Analyze the action and describe it in terms of Newton’s laws. Identify the initial conditions and the forces involved. If the action is a sequence of events, analyze it step by step. The more complex the sequence of events, the better!
Answer:
In Newton’s first law, an object at rest remains at rest until an external force isapplied. When I play soccer, the soccer ball will be at rest on the field (the initial condition) andremain in that spot on the field until I kick it (my muscles applying an external force to the ball).According to Newton’s second law, force = mass x acceleration (F=ma). When I kick the resting soccer ball, which has a given mass, it will accelerate in the direction that I kick it. From the equation, acceleration = force divided by mass. Therefore, since the mass of the soccer ball is fixed, the stronger my leg is and the more force I can apply to the ball, the faster it willaccelerate.According to Newton’s first law, an object in motion remains in motion until an external force isapplied. After I kick the soccer ball, it will continue in motion in the direction that I kicked it,but its acceleration will gradually slow down due to the external forces of friction from the airand the surface of the field. According to Newton’s third law, for every action there is an equal and opposite reaction.When I kick the soccer ball forward, if I also kick it in an upward direction, such as a thirty-degree angle from the field, it will come down at an angle when it strikes the field. When theball lands and strikes the field, there will be an equal and opposite reaction whereby instead oftraveling downward it will bounce of the surface of the field and will then be travelling upward.
(Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of cooling/warming of an object is given by the linear first-order differential equation
dt
dT
=k(T−T
s
), where k is a constant of proportionality, T(t) is the temperature of the object at any time t≥0, and T
s
is the surrounding environmental temeperature, that is, the temperature of the medium around the object. (i). Assuming that T
s
is constant, find the temeperature of the object as a function of time if T(0)=T
0
. (ii). Then what is the temepretauer of the object after 5 minutes?
Newton's Law of Cooling is described by the first-order linear differential equation dt/dT = k(T - Ts), where T(t) is the temperature of the object at time t, Ts is the surrounding environmental temperature, and k is the constant of proportionality.
The temperature of an object, governed by Newton's Law of Cooling
(i) To find the temperature of the object as a function of time, we first solve the differential equation dt/dT = k(T - Ts). This is a separable differential equation, and the solution can be obtained by rearranging and integrating:
dt/dT = k(T - Ts)
dt = k(T - Ts) dT
∫ dt = ∫ k(T - Ts) dT
t = k * ∫ (T - Ts) dT
t = k * (T^2/2 - Ts*T) + C
Now, we apply the initial condition T(0) = T0. At t=0, the temperature of the object is T0:
T(0) = T0
k * (\(T0^2\)/2 - Ts*T0) + C = T0
C = T0 - k * (\(T0^2\)/2 - Ts*T0)
C = T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2
C = T0 - k * (\(T0^2\) - 2 * Ts * T0) / 2
So, the equation becomes:
t = k * (\(T^2\)/2 - Ts*T) + (T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2)
(ii) Now, we can find the temperature of the object after 5 minutes (t = 5 minutes). We'll use the initial condition T(0) = T0 and the formula obtained in part (i):
t = 5 minutes = 5/60 hours = 1/12 hours
T(t) = Ts + (T0 - Ts) * exp(-kt)
T(1/12) = Ts + (T0 - Ts) * exp(-k * (1/12))
This equation gives us the temperature of the object after 5 minutes, considering the given initial temperature T0 and the surrounding environmental temperature Ts.
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9) Suppose it takes a plane 5 hours to travel from Philadelphia to San Francisco. It
travels at an average speed of 500 miles per hour. What is the distance between
the two cities?
Answer:
2500miles
Explanation:
Given parameters:
Time of travel = 5hrs
Average speed = 500miles/hr
Unknown:
Distance between the two cities = ?
Solution:
To solve this problem, we must understand that speed is the distance covered with time.
So;
Distance = speed x time
Distance = 500 x 5 = 2500miles
What value of resistor R gives the circuit in the figure a time constant of 22 μs ?
The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.
The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:
RC = τ, where R is the resistance and C is the capacitance of the circuit.
Rearranging the above formula, we get:R = τ / C
Where τ is the time constant and C is the capacitance of the circuit.
From the figure, the capacitance is given as 0.1 μF
.Substituting the values of τ and C in the above formula, we get:
R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)
R = 220 Ω
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Describe the change to the stores of energy of the wood, pipe and water as the water is heated
Answer:
thermal energy or proportional energy
Explanation:
when the wood is moved the energy is changed thoughout the wood and it would be the same as the pipe and water
Which of the following feedbacks are definitely positive (that is, there is no uncertainty that they are positive)? [select all that apply] Laspe rate feedback Water vapor feedback Ice albedo feedback Cloud feedback Question 4 1 pts Which of these feedbacks affect the terrestrial radiation budget? [select all that apply] Lapse rate feedback Ice-albedo feedback Water vapor feedback Cloud feedback
The positive feedbacks without uncertainty are water vapor feedback. The feedbacks that affect the terrestrial radiation budget are lapse rate feedback, ice-albedo feedback, water vapor feedback, and cloud feedback.
Among the feedbacks listed, the ones that are definitely positive (without uncertainty) are: 1. Water vapor feedback: An increase in temperature leads to an increase in atmospheric water vapor content, which amplifies the greenhouse effect and further enhances warming. This feedback is positive. The feedbacks that affect the terrestrial radiation budget (the balance of incoming and outgoing radiation at the Earth's surface) are: 1. Lapse rate feedback: This feedback is related to the vertical temperature profile of the atmosphere. If the lapse rate (the rate at which temperature changes with altitude) decreases with warming, it can amplify the warming or cooling effects. It affects the radiation budget indirectly by influencing the atmospheric temperature structure. 2. Ice-albedo feedback: When temperatures rise, ice and snow cover decrease, exposing darker surfaces (such as land or ocean) that absorb more solar radiation. This leads to further warming, creating a positive feedback loop that affects the radiation budget. 3. Water vapor feedback: As mentioned earlier, an increase in temperature leads to increased atmospheric water vapor content. Water vapor is a potent greenhouse gas that affects the radiation budget by trapping outgoing longwave radiation and amplifying the greenhouse effect.b4. Cloud feedback: Changes in temperature and atmospheric moisture content can affect cloud formation and properties. Clouds can either trap heat (positive feedback) or reflect sunlight back to space (negative feedback), depending on their type, altitude, and coverage. The net effect of cloud feedback on the terrestrial radiation budget depends on the specific cloud changes in response to warming.
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10 points to whoever answers!!
What kind of energy does the sun provide? What kind of energy represents movement? If you rub your hands together quickly, you are increasing what kind of energy?
Answer:
The sun provides light energy, which turns into heat when it gets to Earth. rubbing hands create heat energy known as friction
Explanation:
The sun produces heat and electromagnetic radiation as a product of the fusion of hydrogen nuclei into helium nuclei. The radiation produced covers most of the electromagnetic spectrum, including visible, ultraviolet and infrared light, as well as X-rays and radio waves.
The Enterprise wants to orbit a4.15 x 10^24kg planet with a period of14100 s. What should the radius oftheir orbit be?
Given:
Mass of planet, m = 4.15 x 10²⁴ kg.
Period, T = 14100 s
Let's find the radius.
To find the radius, apply the formula from Kepler's Third aw:
\(\begin{gathered} \frac{T^2}{R^3}=\frac{4\pi^2}{GM} \\ \\ \end{gathered}\)Where R is the radius.
Rewrite the formula for r:
\(R=\sqrt[3]{\frac{GM*T^2}{4\pi^2}}\)Where:
G is gravitational constant = 6.67 x 10⁻¹¹ m3 kg-1 s-2
M is the mass = 4.15 x 10²⁴ kg
T is the period = 14100 s
π = 3.54
Plug in values and solve for R;
\(\begin{gathered} R=\sqrt[3]{\frac{6.67\times10^{-11}*4.15\times10^{24}*14100^2}{4\pi^2}} \\ \\ R=\sqrt[3]{\frac{5.503\times10^{22}}{39.4784}} \\ \\ \end{gathered}\)Solving further:
\(\begin{gathered} R=\sqrt[3]{1.394\times10^{21}} \\ \\ R=11170796.49\approx1.12\times10^7\text{ m} \end{gathered}\)Therefore, the orbital radius will be 1.12 x 10⁷ meters.
ANSWER:
1.12 x 10⁷ m
A baseball M equals 150.0 G is traveling at 40.0 MS how much work must be done to stop the ball
The work that must be done to stop the baseball of mass 150 g is 120 J.
What is work?Work is said to be done when force moves a body through a certain distance.
To calculate the work that must be done to stop the ball, we use the formula below.
Formula:
W = mv²/2................................. Equation 1Where:
W = Work that must be done to stop the ballm = Mass of the baseballv = Velocity of the baseballFrom the question,
Given:
m = 150 g = 0.15 kgv = 40 m/sSubstitute these values into equation 1
W = (0.15×40²)/2W = 120 JHence, the work that must be done to stop the baseball is 120 J.
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As the train in the image moves to the right, which person hears the train horn at a lower pitch?
Answer:
Answer: Explanation: Person A's velocity relative to the train is 0. Therefore, the pitch of the horn will not change.
Explanation:
The person who hears the train horn at a lower pitch is A.
What is pitch?Pitch of any sound wave is directly proportional to the frequency. The higher frequency instruments have higher pitch.
As the train in the image (attached) moves to the right, Person A and B are sitting in the train. Person C and D are standing outside the train.
Person A's velocity relative to the train is 0. So, the pitch of the horn will not change.
Therefore, the person A will hear the train at lower pitch.
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you apply a constant force f⃗ 68.0n i 36.0n j to a 410 kg car as the car travels 41.0 m in a direction that is 240.0 counterclockwise from the x axis
How much work does the force you apply do on the car?
Work done by the applied force on car can be calculated using the formula W = F⃗ ⋅ d⃗, where F⃗ is the force vector and d⃗ is the displacement vector. The force vector is F⃗ = 68.0 N i + 36.0 N j, and the displacement vector is d⃗ = 41.0 m at an angle of 240.0° counterclockwise from the x-axis.
To find the work done by the force on the car, we need to calculate the dot product of the force vector and the displacement vector. The dot product can be obtained by multiplying the magnitudes of the vectors with the cosine of the angle between them.
First, let's find the magnitudes of the force vector and the displacement vector. The magnitude of the force vector F⃗ is given by |F⃗ | = √((68.0 N)² + (36.0 N)²) = 76.16 N. The magnitude of the displacement vector d⃗ is |d⃗ | = 41.0 m.
Next, we calculate the angle between the force vector and the displacement vector. The angle is given as 240.0° counterclockwise from the x-axis. Since the x-axis is the reference axis, the angle between the force vector and the displacement vector is 180.0° - 240.0° = -60.0°.
Now, we can calculate the work done using the formula W = |F⃗ | |d⃗ | cosθ, where θ is the angle between the force and displacement vectors. Therefore, W = (76.16 N) * (41.0 m) * cos(-60.0°) = -1573.4 J.
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Which form of government shares goods and services equally, and the political power is disturbing among the people?
Answer:
Socialist
Explanation:
Answer: socialist
Explanation: A socialist form of government is where the goods and services are equally shared, and the political power is distributed among the people.
What is the current in a 120V circuit if the resistance is 20Ω?
We have: \(I=\frac{U}{R}=\frac{120}{20}=6A\)
ok done. Thank to me :>
Answer:
The Current is 6 Ampere.
Step-by-step explanation:
Given :
\(\small\red\bull\) Voltage = 120V\(\small\red\bull\) Resistance = 20ΩTo Find :
\(\small\red\bull\) CurrentUsing Formula :
\( \star{\small{\underline{\boxed{\sf{ I = \dfrac{V}{R}}}}}}\)
\(\small\blue\star\) I = Current\(\small\blue\star\) V = Voltage\(\small\blue\star\) R = ResistanceSolution :
Substituting all the given values in the formula to find Current :
\({\dashrightarrow{\pmb{\sf{ I = \dfrac{V}{R}}}}}\)
\({\dashrightarrow{\sf{ Current = \dfrac{Voltage}{Resistance}}}}\)
\({\dashrightarrow{\sf{ Current = \dfrac{120}{20}}}}\)
\({\dashrightarrow{\sf{ Current = \cancel{\dfrac{120}{20}}}}}\)
\({\dashrightarrow{\sf{ Current = 6A}}}\)
\({\star{\underline{\boxed{\sf{\red{ Current = 6A}}}}}}\)
Hence, the Current is 6 Ampere.
\(\rule{300}{1.5}\)
two homogeneous bodies of the same volume
Answer:
No, it is not necessary for them to have same mass.
Explanation:
Let both bodies have a density d1 and d2 respectively.
Since their volumes are equal V1 = V2
we know that, https://tex.z-dn.net/?f=%5Cfrac%7Bmass%7D%7Bvolume%7D
Hence, d1 = and d2 =
Taking the ratio of densities,we get
This implies that unless the bodies have same densities, the mass of the two bodies will not be same.
Calcular la aceleración que produce una fuerza de 40 N sobre un cuerpo con 88 Kg de masa. Expresar el resultado en m⁄s^2 *
Answer:
a = 0.45 m/s²
Explanation:
The given question is ''Calculate the acceleration that produces a force of 40 N on a body with 88 kg of mass".
Given that,
Force, F = 40 N
Mass of the body, m = 88 kg
The net force acting on the body is given by :
F = ma
Where
a is the acceleration of the body
\(a=\dfrac{F}{m}\\\\a=\dfrac{40\ N}{88\ kg}\\\\a=0.45\ m/s^2\)
So, the required acceleration is 0.45 m/s².
The diagram shows a lever.
What is the mechanical advantage of the lever?
2
3
6
9
The mechanical advantage of the lever shown is in the diagram is 2
What is a mechanical advantage?The mechanical advantage of a tool, mechanical device, or machine system is a measure of force amplification. To achieve the desired amplification in output force, the device trades off input forces against movement. The law of the lever serves as a model for this.
It is the amount of force increased by using a tool or machine. It is equal to the tool or machine's force divided by the applied effort. A mechanical advantage is a type of calculation that calculates the amplified force exerted by a mechanical system. It calculates the ratio of the force applied to the load to the force required to overcome the given force. Because the two ratio quantities are the force, it is a unitless expression.
In this case, the lever is a simple machine made up of a beam or rigid rod that pivots at a fulcrum. The mechanical advantage here is 2.
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A 7x10-6 f capacitor stores 4x10-3 c of charge.
what is the voltage across the plates?
how much energy is stored in the electric field?
Answer:
Q=C×V
E=500uJ E=1/2CV2
Explain why the positions of a probe on the electrodes does not affect the measurement of the potential difference? Assume that the electrodes are made of conductive material.
The position of a probe on the electrodes does not affect the measurement of the potential difference because of the nature of electricity.
Electricity is conducted through a conductor, such as the electrodes, by the movement of electrons. When a potential difference exists between two points, the electrons move from the negative side to the positive side in an effort to equalize the charge. The exact position of the probe on the electrodes does not matter because the electrons are already moving through the conductor. The electrons will flow through the electrodes regardless of where the probe is placed. As long as the electrodes are made of a conductive material, the potential difference between the two points will remain the same. Therefore, the position of the probe on the electrodes does not affect the measurement of the potential difference.
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how much energy is given to 5 coloumb of charge passing through a 12 voltage battery?
Answer:
V (Joules / Coulomb) definition of voltage
E = Joules energy expressed in Joules
V Q = energy expressed in Joules and Coulombs
E = 12 Joules / Coulomb * 5 Coulomb = 60 Joules
Question: Laser Light With A Wavelength Λλlambda = 680 Nm Illuminates A Pair Of Slits At Normal Incidence. A) What Slit Separation Will Produce First-Order Maxima At Angles Of ±± 35 ∘∘ From The Incident Direction?
The slit separation that will produce first-order maxima at angles of ±35 degrees from the incident direction is approximately 1.11 micrometers.
To determine the slit separation that will produce first-order maxima at angles of ±35 degrees from the incident direction, we can use the equation for the location of the maxima in a double-slit interference pattern:
d * sin(θ) = m * λ
where d is the slit separation, θ is the angle from the incident direction, m is the order of the maxima, and λ is the wavelength of the laser light.
In this case, we want to find the slit separation (d) that produces first-order maxima at angles of ±35 degrees (θ = ±35 degrees) and the wavelength (λ) is given as 680 nm.
Let's calculate the slit separation for the positive angle (+35 degrees):
d * sin(35 degrees) = 1 * 680 nm
Converting the angle to radians and the wavelength to meters:
d * sin(0.6109 radians) = 1 * 680e-9 m
Simplifying the equation, we have:
d = (680e-9 m) / sin(0.6109 radians)
Calculating this expression, we find:
d ≈ 1.11e-6 m
Therefore, the slit separation that will produce first-order maxima at angles of ±35 degrees from the incident direction is approximately 1.11 micrometers.
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find the volume of the given solid. bounded by the planes z = x, y = x, x + y = 9 and z = 0
The volume of the given solid is:
V = ∭(D) dx dy dz = (1/2) * 9/2 * 9/2 = 81/8
What is the method to find the volume?To find the volume of the solid, we can use the triple integral. Since the solid is bounded by the planes z = x, y = x, x + y = 9, and z = 0, we can write the integral as:
V = ∭(D) dV = ∭(D) dx dy dz
where D is the region bounded by the given planes.
To set up the triple integral, we need to determine the bounds for the variables x, y, and z. Since the solid is bounded by the planes z = x, x + y = 9, and y = x, we can express z in terms of x and y. We have:
z = x
Since x + y = 9, we can also express y in terms of x:
y = 9 - x
Substituting this expression for y into the equation for z, we get:
z = x = x
Therefore, the bounds for x are 0 ≤ x ≤ 9/2. The bounds for y are 0 ≤ y ≤ 9 - x, and the bounds for z are 0 ≤ z ≤ x.
Using these bounds, we can set up the triple integral as follows:
V = ∭(D) dx dy dz = ∫x=0 to x=9/2 ∫y=0 to y=9-x ∫z=0 to z=x 1 dz dy dx
Evaluating this integral, we find that the volume of the solid is:
V = ∭(D) dx dy dz = (1/2) * 9/2 * 9/2 = 81/8
Therefore, the volume of the solid is 81/8.
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The Earth moves in a nearly perfect circle around the Sun. Assume the speed stays
constant. Is Earth accelerating?
Answer:
yes
Explanation:yes
Answer:
Yes
Explanation:
Earth is accelerated around the sun
times more energy than an earthquake with a magnituide of 2. Ori the Richter scale a magnitude 5 earthquake releases about
A. 30
B. 1000
C. 90
D. 27.000
What is the main caase of the spreading movement of the ocean crust
A. The convection current of the asthenosphere is drasging the ocean crust.
B. The riew magma forming at ocean ridges is pushing the ocean krure
C. There is a stearing motion on translorm plate boundaries
D. All of the above
consribute equally Respr Selestion
A. Increasing temperatures at the top of the asthenosphere
B. There is a greater water content in subducted oceanic crust
c. Decreasing pressure as the overlying crust thins
D. Higher viscosity as the silica content increases E. All of the above Reset Selection
The main cause of the spreading movement of the ocean crust is the new magma forming at ocean ridges, which pushes the oceanic plates apart. The other options listed do not contribute equally or directly to the spreading movement.
The spreading movement of the ocean crust is primarily driven by the formation of new magma at ocean ridges. As the mantle material beneath the Earth's surface rises and melts, it creates new magma. This molten material then pushes its way upward and fills the gap between the separating oceanic plates. As the new magma solidifies, it forms a new crust, expanding the ocean floor and causing the plates to move apart.
The other options listed do not directly contribute to the spreading movement of the ocean crust. Increasing temperatures at the top of the asthenosphere, the greater water content in subducted oceanic crust, decreasing pressure as the overlying crust thins, and higher viscosity as the silica content increases may have their own geological implications, but they are not the main causes of the spreading movement observed at ocean ridges.
Therefore, the correct answer is B. The new magma forming at ocean ridges is the main cause of the spreading movement of the ocean crust.
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The complete question is:
What is the main cause of the spreading movement of the ocean crust? A. As the ocean crust cools it becomes denser than the asthenosphere and the edge of the slab is pulled downward at subduction zones. B. The convection current of the asthenosphere is dragging the ocean crust C. The new magma forming at ocean ridges is pushing the ocean crust D. There is a shearing motion on transform plate boundaries E. All of the above contribute equally
Which compound most likely has atoms held together by covalent bonds?
A. Lithium fluoride, LiF
B. Methane, CHA
C. Sodium chloride, NaCl
D. Magnesium chloride, MgCl2
Answer:
Meth CH4
Explanation:
Breaking bad
Answer:
B, Methane CH4
Explanation:
4p3x !
please fast
The system shown in the figure below uses three chain comveyors. Each chain has a hydraulic motor: The torque that drives the motors is T: =1500 N.m
1 T2 =700 Nm and, T3 = 300Nm. The displactment volume of the motors is V01 =1000 cm3/rev V02 =1000 cm3/rev and, V09 =500 cm3 /rex. The motss have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of the bydraulic motors 1 and 3 is internal completely and the leakage of the hydraulic motor 2 is external completely. The pump produces a constant volumetric flow rate of 6.3U/min.
The orifice of the flow control valve has a 0.5 mm diameter. The pressure fosses through the pipes are neglected. The capacity coefficient of the needie valve is 07. The volumetric Alow rate through the needle valve is given by: Q=C×A2 ×ΔF/rho where C is the capacity coefficient, A is the area of the orifice, ΔP is the difference of pressure through the needle valve and, rho is the density of the fiuid.
The density of the oil used in the hydraulic system is 860 kg/m3 . Determine the rotational speed of the motor 3 in rpm. a. 8 b. 92 c. 67 d. 42 e. 34 E. 56
The rotational speed of the motor 3 in rpm. b. 92
The figure shows a hydraulic circuit that uses three chain conveyors. The torque that drives the motors is T: =1500 N.m. T2 =700 Nm and, T3 = 300Nm.The volumetric flow rate produced by the pump is 6.3 liters per minute. The displacement volume of the motors is V01 =1000 cm3/rev. V02 =1000 cm3/rev and, V09 =500 cm3/rex.
The motors have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of hydraulic motors 1 and 3 is internal completely, while the leakage of hydraulic motor 2 is external completely.The orifice of the flow control valve has a diameter of 0.5 mm. The capacity coefficient of the needle valve is 0.7.
The pressure losses through the pipes are ignored. The volumetric flow rate through the needle valve is Q = C × A2 × ΔP / ρ where C is the capacity coefficient, A is the area of the orifice, ΔP is the pressure difference through the needle valve, and ρ is the density of the fluid. The density of the oil used in the hydraulic system is 860 kg/m3. We need to determine the rotational speed of motor 3 in rpm.
So,Let’s first determine the volumetric flow rate required by hydraulic motor 3. Using the expression of volumetric flow rate through the needle valve, we have Q = C × A2 × ΔP / ρ… (i)We are given that the capacity coefficient of the needle valve is 0.7. Its orifice diameter is 0.5 mm.
Hence, the area of the orifice is given byA2 = π d2 / 4where d is the diameter of the orifice. So, A2 = π × (0.5 mm)2 / 4 = 0.196 mm2 = 1.96 × 10-7 m2Using equation (i), we haveQ = C × A2 × ΔP / ρNow, we will calculate ΔP. To do this, we need to determine the flow rates Q1, Q2, and Q3.Let Q’ be the total volumetric flow rate through the system.
Since the overall efficiency of the system is given as 0.85, we haveQ’ = 0.85 × 6.3 l/min = 5.355 l/min = 5.355 × 10-3 m3/minWe know that the volume of fluid passing through the hydraulic motors is equal to their displacement volume multiplied by the number of revolutions per unit time.So, we haveQ1 = V01 × n1 … (ii)Q2 = V02 × n2 … (iii)Q3 = V03 × n3 … (iv)where V01, V02, and V03 are the displacement volumes of hydraulic motors 1, 2, and 3, respectively.
We are given that V01 = V02 = 1000 cm3/rev and V03 = 500 cm3/rev, which gives V01 = V02 = 1 × 10-6 m3/rev and V03 = 0.5 × 10-6 m3/rev.Substituting equations (ii), (iii), and (iv) in equation (i), we haveQ = C × A2 × (Q1 + Q2 - Q3) / ρSolving for Q3, we getQ3 = (Q1 + Q2 - Q) / C × A2 × ρPutting the given values in the above expression, we haveQ1 = V01 × n1 = (1 × 10-6 m3/rev) × n1Q2 = V02 × n2 = (1 × 10-6 m3/rev) × n2Q3 = V03 × n3 = (0.5 × 10-6 m3/rev) × n3Q = 5.355 × 10-3 m3/min = 5.355 × 10-3 / 60 m3/s = 8.925 × 10-5 m3/sA2 = 1.96 × 10-7 m2C = 0.7ρ = 860 kg/m3
Substituting the above values, we get8.925 × 10-5 = (1 × 10-6 × n1 + 1 × 10-6 × n2 - 0.5 × 10-6 × n3) / (0.7 × 1.96 × 10-7 × 860)Solving for n3, we have n3 = 91.6 rpmSo, the correct option is b. 92.
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How can ground-based telescopes equipped with adaptive optics yield images as detail-rich as those from old space missions?
Ground-based telescopes equipped with adaptive optics can yield detail-rich images comparable to those from old space missions by compensating for the atmospheric distortions that degrade the image quality.
The Earth's atmosphere introduces turbulence that causes images captured by ground-based telescopes to be blurry and less detailed. Adaptive optics technology addresses this issue by actively measuring and correcting for the atmospheric distortions in real-time.
It uses deformable mirrors and wavefront sensors to analyze the distortions and make precise adjustments to the telescope's optics.
By continuously adapting to the atmospheric conditions, adaptive optics can compensate for much of the blurring effect, resulting in images that approach the clarity and resolution achieved by space-based telescopes.
This enables ground-based telescopes to capture detailed images of astronomical objects and phenomena, rivaling the quality of those obtained by older space missions.
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answer:
A. Applied force
B. Normal force
C. Frictional force
D. Gravitational force
Explanation of the forces with examples shown in the diagram:
A. Applied force:- A pushing or pulling force used to move an object. A person or any other object in this situation applies a force to an object. A chair being moved to the opposite side of the room, as an example.
B. Normal force:- This force is applied to a moving object when it comes into contact with a steady object. A normal force is typically applied horizontally between two objects that are in touch. An illustration would be a book on a table or a person leaning against a wall.
C. Frictional force:- Friction is created as an object moves across a surface. Slider or static forces can cause friction. The characteristics of the two interacting surfaces determine friction. A ball rolling on the floor is one example, as is a book sliding over the table.
D. Gravitational force:- This is the force that causes the Earth, the moon, and other extraordinarily large objects to pull other objects toward them. Every object on Earth is subject to gravity, which pulls objects downward and toward the planet's centre.
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