What does N1 mean on a calculator?

Answers

Answer 1

Changes using the SET UP menu and indicates the notation used to show a value. On the screen, N1 is shown as "NORM1," and N2 as "NORM2." An angular unit indicator is DEG, RAD, or GRAD. BUSSY: Shows up while performing  calculation.

What does the calculator's c1 stand for?

Any constant that can be used in place of c1 to determine whether an answer is correct. The format ck is used to express constants, where c is any constant and k is an additional iteration of the constant that can range from 1 to 255.

What does C stand for on a calculator?

Only the C and CE functions on a calculator have the potential to be a little confusing when used. A way is both buttons. The C (clear) button will clear all input to the calculator, whereas the CE (clear entry) button will clear the most recent entry.

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Related Questions

WILL MARK BRAINLIEST IF GOTTEN RIGHT!

WILL MARK BRAINLIEST IF GOTTEN RIGHT!

Answers

Answer:

Angle Angle Similarity Postulate

Explanation:

The sun emits electromagnetic waves at many frequencies, but mostly in the infrared, visible, and ultraviolet spectrums. What kind of energy is this?

nuclear
radiant
thermal
chemical

Answers

The Answer to the question: The sun emits electromagnetic waves at many frequencies, but mostly in the infrared, visible, and ultraviolet spectrums. What kind of energy is this?  Is......     radiant

The energy emitted by sun in the form of electromagnetic waves is the radiant energy. So, the second option is correct.

What is meant by electromagnetic waves ?

Electromagnetic wave is defined as the waves that are formed as a result of the vibrations between electric and magnetic fields.

Here,

The sun emits electromagnetic waves at many frequencies, but mostly in the infrared, visible and ultraviolet spectrums.

The energy from the sun that reaches are in the form of solar radiations. These solar radiations carry a large amount of energy and are a part of electromagnetic energy spectrum.

The solar radiation consists of  radiations of 40% at the wavelengths of infrared, 50% at the wavelength of visible light and 10% at the wavelength of ultraviolet waves.

The ultraviolet radiations has an important role in the formation of earth's upper atmosphere.

These radiations are responsible for the heating and temperature effects on the earth.

Hence,

The energy emitted by sun in the form of electromagnetic waves is the radiant energy.

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what is the correct answer?

what is the correct answer?

Answers

Answer:

Option (3)

Explanation:

From the graph attached,

Zeros of the function are, x = -3,

Graph of the polynomial touches x axis at x = -3, 1 and 3

Therefore, equation of the given function will be in the form of,

P(x) = \(k(x+3)^a(x-1)^b(x-3)^c\)

Since, graph of the function just touches the x-axis, multiplicity of zero at x = -3 will be even and crosses x-axis so the multiplicity at x = 1 and 3 will be odd.

Therefore, possible function will be,

P(x) = \(k(x+3)^2(x-1)(x-3)\)

Since, y-intercept of the function is at (0, -3),

P(0) = k(0 + 3)²(0 - 1)(0 - 3)

-3 = 27k

k = \(-\frac{3}{27}=-\frac{1}{9}\)

Therefore, given polynomial function is,

P(x) = \(-\frac{1}{9}(x+3)^{2}(x-1)(x-3)\)

Option (3) will be the correct option.

18. A vertical spring has a length of 25cm when a 150g mass is hung from its end and its length is 30cm with 250g hanging from it. What is the spring constant? a) 19.6N/cm b) 19.6n/m c) 109.6N/m d) 19.6N/m e) 19.6N/km​

Answers

The spring constant of the spring is 19.6 N/m.

The correct answer is option D.

What is the spring constant of the spring?

The spring constant of the spring is calculated by applying the following equation as shown below.

Mathematically, the formula of Hooke's law is given as;

F = kx

where;

F is the applied forcek is the spring constantx is the extension of the spring

k = F / x

the extension of the spring when the 250 g mass was hung on it is calculated as;

x = 30 cm - 25 cm

x = 5 cm = 0.05 m

The spring constant of the spring is calculated as;

k = ( mg ) / x

where;

m is the additional mass = 250 g - 150 g = 100 g

k = ( 0.1 x 9.8 ) / ( 0.05 )

k = 19.6 N/m

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When you put your hand above a pan filled with boiling water, does your hand warm up because of convection or conduction? If you touch the pan, does your hand warm up because of convection or conduction? Based on your answers, which type of heat transfer moves heat more easily and efficiently?

Answers

Answer:

first one is - conduction

second one is - convection

I think conduction moves more easily

Experiment #8: Optical Illusions – Choose Your Favorites!
Here are 2 websites (also linked on D2L) that have some really cool optical illusions for you to try!!
The sites are linked on D2L this week.
Live Science: The Most Amazing Optical Illusions (and How They Work)
Interesting Engineering: 11 Puzzling Optical Illusions and How They Work
Each site explains what is going on in your brain as you view the illusions. In all, there are a lot of illusions, but if you are like me, these are really fun – and fascinating - and a little addicting! They are quick and fun! On your Reflection you will be asked to pick out your 2 favorite illusions.
Optical Illusions Reflection: Pick out your 2 favorite illusions from these sites and talk about them here:
Favorite Illusion #1: Describe the illusion, (also identify which of the sites it was found on). Explain what is going on in your brain as you view this type of illusion. Give your observations, what you learned and what surprised you.
Favorite Illusion #2: Describe the illusion, (also identify which of the sites it was found on). Explain what is going on in your brain as you view this type of illusion. Give your observations, what you learned and what surprised you.
Summary Thoughts: What are your overall thoughts, impressions, and reflections after completing all of these experiments??

Answers

Optical illusions can be fascinating and addictive. My two favorite illusions are the Spinning Dancer illusion from Live Science and the Kanizsa Triangle illusion from Interesting Engineering. These illusions provide insights into how our brain processes visual information and can be surprising.

The Spinning Dancer illusion, found on Live Science, depicts a silhouette of a dancer spinning. The illusion occurs when the viewer perceives the dancer as spinning either clockwise or counterclockwise.

What's interesting about this illusion is that it can switch directions for the same viewer. The illusion relies on ambiguous visual cues, such as the position of the raised leg and the shadow beneath it.

As our brain tries to make sense of the image, it fills in missing information and imposes its own interpretation, resulting in the perceived spinning motion.

The Kanizsa Triangle illusion, discovered on Interesting Engineering, showcases a triangle that appears to be present even though the actual triangle is incomplete.

This illusion demonstrates our brain's ability to perceive objects based on incomplete or fragmented information. The brain tends to fill in the gaps and complete the shape, creating the illusion of a triangle.

This phenomenon, known as "illusory contours," reveals the brain's tendency to impose structure and meaning onto visual stimuli.Overall, these optical illusions highlight the remarkable capabilities and limitations of our visual perception.

They show how our brain constructs our visual reality based on interpretation and inference rather than presenting a faithful representation of the external world.

Engaging with these illusions not only provides entertainment but also prompts reflection on the intricacies of human perception and cognition.

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Which of the following is a physical property of wood?

A.wood is harder than stone
B. Wood has a rough texture
C.wood is a liquid a room temperature
D.wood melts at 100c

Answers

B. wood has a rough texture

What would happen if a white dwarf gained enough mass to reach the 1. 4 solar-mass white dwarf limit?.

Answers

Answer:

answer down below

Explanation:

it would undergo a supernova explosión and leave behind a black hole

how does installing a seawall help mitigate flood damage?

Answers

Seawalls create barriers that prevent floodwaters from entering the protected area. The correct option is C.

Installing a seawall helps mitigate flood damage by creating a barrier that prevents floodwaters from entering the protected area.

Seawalls are typically constructed along coastlines or riverbanks and act as a physical barrier against incoming floodwaters.

When flood events occur, the seawall helps to block and redirect the force of the water, reducing the impact on the protected area.

By preventing floodwaters from inundating the land, seawalls help to safeguard infrastructure, homes, and communities from damage caused by flooding.

They provide a measure of protection and help to mitigate the potential risks and consequences associated with flooding events.

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is:

How does installing a seawall help mitigate flood damage?

A) Seawalls redirect floodwaters away from the protected area.

B) Seawalls absorb floodwaters to prevent overflow.

C) Seawalls create barriers that prevent floodwaters from entering the protected area.

D) Seawalls increase the capacity of nearby water bodies to hold floodwaters.

can someone check this pls
Part 3 – Parallel & Series Circuits
For Each Circuit Shown below…
Next to each resistor write the voltage drop across that resistor as well as the current through the resistor.
Find the equivalent resistance








RTotal = 1.08














RTotal =0.82












RTotal = 1.68

Answers

1.08 + 0.82+ 1.68

3.58

3.58

Answer:

brainliest please, sorry for the inconveniences

Can someone help me pls, i also have 3 more questions like this :D

Can someone help me pls, i also have 3 more questions like this :D
Can someone help me pls, i also have 3 more questions like this :D

Answers

The water molecules in the gas phase have more kinetic energy than in the liquid phase. The molecules in the liquid phase must absorb energy from the surroundings to enter the gas phase.

What is a hot spring?

A hot spring can be defined as a natural or an artificially-induced phenomena in which very hot groundwater flows out from the Earth's crust due to the heat energy that is present in the geosphere.  

What is a phase change?

A phase change simply refers to the change in the state (phase) of matter of a given chemical compound or substance in the following ways:

Gas to solidSolid to liquidLiquid to gasLiquid to solid

Generally speaking, the water molecules in the gas phase typically possesses more kinetic energy than in the liquid phase and as such, it would have to absorb more energy from the surroundings in order to enter the gas phase.

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The impact of pesticides on the ecological systems.
(marks 5)

Answers

Explanation:

Pesticides are those substance whoch increase the fertlite rate of the soil but it will damage rhe soil it remine from a long time it descrese the rate of fertize rate

a roller skater starts from rest (velocity initial=0m/s) and speeds up a final velocity (10m/s) what is the acceleration during a time of 2 seconds

Answers

Answer:

10-0÷2=5 that's the answer

the current in circuit a is two times the current in circuitb. the light bulb in circuit a has one half the resistance of the light bulb in circuit b. which cicuit has the greatest power? and by waht factor

Answers

The power in circuit A is two times the power in circuit B. Therefore, Circuit A has the greatest power, and it is by a factor of 2.  

Given that the current in circuit A is two times the current in circuit B and the light bulb in circuit A has one-half the resistance of the light bulb in circuit B, we need to find out which circuit has the greatest power.

The power of an electric circuit is given as `P = VI`, where V is the voltage across the circuit and I is the current flowing through the circuit. The voltage across a circuit is directly proportional to the resistance of the circuit.

That is, as the resistance of a circuit increases, the voltage across the circuit also increases.

Hence, we can rewrite the equation for power as `P = I²R`.

For circuit A, let the current be I₁ and resistance be R₁. For circuit B, let the current be I₂ and resistance be R₂.

Given that, I₁= 2I₂ and R₁ = (1/2)R₂.

Substituting the values in the equation for power,

P1 = I₁²R₁ and P₂

= I₂²R₂P₁/P₂

= (I1²R₁) / (I₂²R₂)

= (4I₂²(1/2)R₂) / (I₂²R₂)

= 2/1

= 2

Hence, the power in circuit A is two times the power in circuit B.

Therefore, Circuit A has the greatest power, and it is by a factor of 2.

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Which is the following best describes the bottleneck resource for a process? Its the resource that takes the longest time Its the resource that is fewest in number Its the resource with smallest capac

Answers

The best description of the bottleneck resource for a process is: It is the resource that takes the longest time.

In process management, a bottleneck refers to a point in the process where the flow of work is limited or constrained, causing a delay in the overall process. The bottleneck resource is the specific resource (such as a machine, equipment, or person) that has the longest processing time compared to other resources in the process.

The presence of a bottleneck resource can significantly impact the efficiency and throughput of the entire process. Since the bottleneck resource takes the longest time to complete its tasks, it creates a bottleneck effect by limiting the overall capacity of the process. The output of the process cannot exceed the capacity of the bottleneck resource, which can lead to waiting times, delays, and inefficiencies in the process.

Identifying and managing the bottleneck resource is crucial for optimizing process performance. Strategies such as increasing the capacity of the bottleneck resource, balancing workloads, improving efficiency, or redesigning the process flow can help alleviate the bottleneck and improve the overall productivity of the process.

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a highly excited atom of hydrogen makes a transition from the n = 6 to the n = 5 state and emits a photon. what is the energy of this photon in joules?

Answers

The energy of the emitted photon is approximately 1.4 x 10⁻²⁰ joules.

A highly excited atom of hydrogen undergoes a transition from the n = 6 to the n = 5 energy level, emitting a photon in the process. The energy of this photon in joules can be calculated using the formula:

E = (13.6 eV) * (1/n1² - 1/n2²)

where E is the energy, n1 is the initial energy level (n = 6), and n2 is the final energy level (n = 5). To convert the energy from electronvolts (eV) to joules (J), we use the conversion factor 1 eV = 1.6 x 10⁻¹⁹ J.

E = (13.6 eV) * (1/5² - 1/6²) = 0.0875 eV

Now convert to joules:

E = 0.0875 eV * (1.6 x 10⁻¹⁹ J/eV) = 1.4 x 10⁻²⁰ J

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g Three projectiles are launched from the same level on flat ground. Each reaches the same maximum height before returning to the ground, but projectile 3 (in blue) has the largest range, followed by projectile 2 (in green). Projectile 1 has the smallest range (in red). Rank the three from largest to smallest according to:

Answers

the correct answer would be projected largest range because projectile has the smallest one

nail tips exert tremendous pressures when they are hit by hammers because they exert a large force over a small area. what force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure of (this high pressure is possible because the hammer striking the nail is brought to rest in such a short distance.)

Answers

2.18X103 N force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure.

diameter, d = 0.95 mm = 0.95x10-3m

P = 3.1X10^9 Pa

r = d/2 = 0.95/2 x 10^-3 m

= 0.475 x 10^-3 m

Area = \(\pi\) r2

= 3.14 x ( 0.475 x 10^-3 m)2

=  = 3.14 x 0.225 x 10^-6

= 0.706 × 10-6 m2

Force = PXA

= 3.1 x 10^9 x 0.70 6 × 10^-6

F = 2.18X103 N

Pressure , within the physical sciences, the perpendicular force in step with unit per area , or the stress at a factor inside a restricted fluid.

A easy instance of pressure can be seen by retaining a knife to a bit of fruit. In case you keep the flat part of the knife towards the fruit, it might not reduce the area. The force is spread out of a massive vicinity (low strain).

The SI unit of pressure is pascal (represented as Pa) which is identical to one newton in line with rectangular metre (N/m2 or kg m-1s-2).

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Newton's Third Law of Motion relates to action and reaction. Which of the following
scenarios accurately names the correct action and reaction pair to apply to Newton's
Third Law?

A) An arrow hitting a tree (action) after being launched (reaction)
B)
A car accelerating forward (action) after the driver pushes the acceleration
pedal (reaction)
C) A skateboard moving (action) after being pushed (reaction)
D)
An ax being used to hit wood (action) and the wood splitting after being hit
by the ax (reaction)

Answers

Answer:

An ax being used to hit wood (action) and the wood splitting after being hit

by the ax (reaction)

Explanation:

Answer:

d

Explanation:

A sonar emits a sound signal of frequency 40000Hz, towards the bottom of the sea.
This signal is reflected on the body of a submarine after a delay of 0.3 seconds.
Given: Speed of sound in water is 1500 m/s.

Calculate the period of this wave.

Answers

Answer:

0.000025s

Explanation:

Period it’s. : T(s)= 1/f(Hz)=1/40000Hz=0.000025s

WILL GIVE BRAINLIEST JUST PLS HELP MEEE!!!!!!!!

WILL GIVE BRAINLIEST JUST PLS HELP MEEE!!!!!!!!
WILL GIVE BRAINLIEST JUST PLS HELP MEEE!!!!!!!!

Answers

Answer:

Hello!

I do not have all ten listed out, however I can show you how to find out. First things first understand what the numbers mean on the table of elements. The number at the top is the atomic number. This represents how many protons an element has. This is also how many neutrons it has, because there is always the same number of protons and neutrons. The number at the bottom is the atomic mass. This is how much the atom weighs. To find the first 10 look for the elements with atomic numbers 1-10. It should be easy. I’ll give you the first one for example.

Hydrogen is the element with a atomic number of 1. Its atoms contain

-1 proton

- 1 neutron

-1 electron (also note the amount of electrons is equal to the amount of protons and neutrons)

Hydrogens atomic mass is (1.00784 u)

Lastly the symbol for hydrogen is (H)

Hope this helps!!!



A roller coaster goes from 2.00 m/s [forward] to 10.0 m/s [forward) in 4.50 s. What is its acceleration?

Answers

The answer would be 1.77778:

We must use the kinematic equation v = v0 + at, then fill in the elements given and solve which equals 1.77778

What temperature is 40 F in Celsius?

Answers

40 degrees Fahrenheit is equivalent to 4.4444444444444446 degrees Celsius.

The Celsius scale is a temperature scale that is used primarily in other parts of the world, while Fahrenheit is primarily used in the United States.

To convert from Fahrenheit to Celsius, you can use the following formula: (°F - 32) x 5/9 = °C

If one wants to know what temperature 40 degrees Fahrenheit is in Celsius, you would use the formula: (40-32)x5/9 = 8x 5/9 = 4.4444444444444446 degrees Celsius

Understanding the relationship between Fahrenheit and Celsius is important as it allows you to be able to easily convert between the two temperature scales.

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I don’t know this one I need help

I dont know this one I need help

Answers

D
Using the kinetic energy 1/2mv^2 formula
5*10^5 is the answer

The measure of the average kinetic energy of the particles in an object is called what?

Answers

The measure of the average kinetic energy of the particles in an object is called temperature.

Temperature is the measure of the average kinetic energy of the particles in an object. It is a measure of how hot or cold an object is. Temperature is related to the heat energy contained in the object.

When two objects with different temperatures are brought together, heat energy will flow from the hotter object to the colder object until they reach the same temperature.

The unit of measurement for temperature is the Celsius scale (°C) or the Fahrenheit scale (°F). The Kelvin scale (K) is used in scientific research. The energy of a substance's particles that is due to their movement or vibration is referred to as kinetic energy.

Temperature is a measure of the average kinetic energy of a substance's particles. The hotter the substance, the more kinetic energy its particles have, resulting in faster movement and greater distance travelled.

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If Argon's melting point is -309 degrees then what is its freezing point?

Answers

The melting point of a substance is the temperature at which the substance changes its phase from solid to liquid.

The freezing point is the temperature at which the substance changes its phase from liquid to solid.

The melting point of a substance is the same as the freezing point. That is when the temperature of the substance in the liquid form is increased continuously, the temperature at which the substance turns into a solid is equal to the temperature at which the substance will turn into liquid from solid if the temperature is decreased continuously, from a higher temperature.

an 6.80 kg ball, hanging from the ceiling by a light wire 150 cm long, is struck in an elastic collision by a 2.60 kg ball moving horizontally at 6.50 m/s just before the collision.ind the tension in the wire just after the collision

Answers

By the law of conservation of momentum and conservation of kinetic energy, the tension in the wire just after the collision is 40.5 N.

To solve this problem, we can use the law of conservation of momentum and the law of conservation of kinetic energy. Before the collision, the only moving object is the 2.60 kg ball. Its momentum is given by \(p = mv = (2.60 kg)(6.50 m/s) = 16.90 kg·m/s.\)When the collision occurs, momentum is conserved. This means that the total momentum before the collision is equal to the total momentum after the collision. After the collision, both balls are moving, but we don't know their velocities yet. Let's call the velocity of the 6.80 kg ball v1 and the velocity of the 2.60 kg ball v2. Then, we can write:
p_before = p_after
\((2.60 kg)(6.50 m/s) = (6.80 kg)v1 + (2.60 kg)v2\)We also know that the collision is elastic, which means that kinetic energy is conserved. This means that the total kinetic energy before the collision is equal to the total kinetic energy after the collision. Before the collision, the 2.60 kg ball has kinetic energy given by KE = (1/2)mv^2 = (1/2)(2.60 kg)(6.50 m/s)^2 = 56.95 J. After the collision, the total kinetic energy is the sum of the kinetic energies of the two balls:
KE_after = \((1/2)(6.80 kg)v1^2 + (1/2)(2.60 kg)v2^2\)Now, we can use these two equations to solve for v1 and v2. First, let's solve for v2:
\(v2 = (2.60 kg)(6.50 m/s) - (6.80 kg)v1 / 2.60 kg\)Next, let's substitute this expression for v2 into the equation for KE_after:
KE_after = \((1/2)(6.80 kg)v1^2 + (1/2)(2.60 kg)[(2.60 kg)(6.50 m/s) - (6.80 kg)v1 / 2.60 kg]^2\)
Simplifying this equation, we get:
KE_after = \((1/2)(6.80 kg)v1^2 + (1/2)(2.60 kg)(6.50 m/s)^2 - (6.80 kg)\)(2.60 \(kg)(6.50 m/s)v1 / (2.60 kg)^2 + (6.80 kg)^2 v1^2 / (2.60 kg)^2\)Now, we can solve for v1 by setting KE_after equal to the initial kinetic energy of the 2.60 kg ball:
\(56.95 J = (1/2)(6.80 kg)v1^2 + (1/2)(2.60 kg)(6.50 m/s)^2 - (6.80 kg)(2.60 kg)(6.50 m/s)v1 / (2.60 kg)^2 + (6.80 kg)^2 v1^2 / (2.60 kg)^2\)
Solving this equation, we get:
v1 = 0.735 m/sNow that we know v1 and v2, we can use the equation for momentum conservation to solve for v2:
p_before = p_after
\((2.60 kg)*(6.50 m/s) = (6.80 kg)*(0.735 m/s) + (2.60 kg)v2= v2 = 2.50 m/s\)Finally, we can use the equation for tension in a hanging object to solve for the tension in the wire just after the collision:
\(T = mg - mv^2 / LT = (6.80 kg)*(9.81 m/s^2) - (6.80 kg)*(0.735 m/s)^2 / 1.50 m\)
T = 40.5 NTherefore, the tension in the wire just after the collision is 40.5 N.

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An object moves in the xy plane in above figure and experiences a friction force with constant magnitude 3.00N, always acting in the direction opposite the objects velocity. Calculate the work that you must do to slide the object at constant speed against the friction force as the object moves along (a) the purple path O to A followed by a return purple path to O, (b) the purple path O to C followed by a return blue path to O, and (c) the blue path O to C followed by a return blue path to O. (d) Each of your three answers should be nonzero. What is the significance of this observation?

Answers

An object moves in the xy plane in above figure and experiences a friction force with constant magnitude 3.00N :Along each step of motion, to overcome friction you must push with, (b) the purple path O to C followed by a return blue path to O.

The value of the pressure is the wide variety that represents the energy of the force. for instance: assume the pressure is = 10 N in the direction of the east. 'towards east' shows route whilst '10' is the magnitude of the force. So basically, value is the 'value' or 'amount' of any physical quantity.

A magnitude is represented by means of a nice actual wide variety. put clearly, a value is the size of a few amount. as an example, the significance of an earthquake, measured at the Richter scale, usually varies between 1 and 10 and represents the scale of the earthquake.

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Answer the following angular speed questions. (Enter your answers using exact values.) (a) A wheel of radius 22 ft. is rotating 13 RPM counterclockwise. Considering a point on the rim of the rotating wheel, what is the angular speed in rad/sec and the linear speed w in ft/sec? w = ___ rad/sec v = ___ ft/sec (b) A wheel of radius 6 in, is rotating 30°/sec. What is the linear speed v, the angular speed in RPM and the angular speed in rad/sec? v = ___ in/sec w = ___ rpm
w = ___ rad/sec
(c) You are standing on the equator of the earth (radius 3960 miles). What is your linear and angular speed? v = ___ mph w = ___rad/hr (d) An auto tire has radius 12 inches. If you are driving 75 mph, what is the angular speed in rad/sec and the angular speed in RPM? w = ___ rad/sec w = ___ rpm

Answers

(a) The radius of the wheel = 22 ft

The wheel is rotating 13 RPM counterclockwise

Angular speed = angular velocity = ω = 2πf = 2 × π × 13 = 26π rad/min (since 1 rev = 2π radians)

Since 1 min = 60 sec, ω = (26π)/60 rad/sec = 13π/30 rad/sec

The linear speed v of a point on the rim of the wheel is given by v = r × ω = 22 × 13π/30 = 22.82 ft/s

Therefore, w = 13π/30 rad/sec and v = 22.82 ft/sec

(b) The radius of the wheel = 6 inThe wheel is rotating at 30°/sec

The angular speed = ω = 30°/sec × (π/180°) = π/6 rad/sec

The linear speed v of a point on the rim of the wheel is given by v = r × ω = 6 × π/6 = π in/sec

The angular speed in RPM can be calculated as follows:

In 1 min, the angle rotated = 360°No. of seconds in 1 min = 60∴

The angle rotated in 1 sec = 360°/60 = 6° or (π/30) radThe angular speed in rad/sec and the angular speed in RPM is given by w = π/6 rad/sec and w = (30/π) × π/6 = 5 RPM

(c) The radius of the Earth = 3960 milesThe circumference of the Earth = 2 × π × radius = 2 × π × 3960 ≈ 24,902 miles (approx.)

One rotation of the Earth is completed in 24 hours or 24 × 60 × 60 = 86,400 secLinear speed v of a point on the equator of the Earth is given byv = circumference of the Earth/time taken for 1 rotation= 24,902/86,400 ≈ 0.2887 miles/sec

Therefore, v = 0.2887 × 60 × 60 = 1040 miles/hourAngular speed = ω = 2πf = 2π/Twhere T = time taken for 1 rotation of the Earth= 24 hours = 24 × 60 × 60 = 86,400 sec∴ ω = 2π/86,400 rad/sec

Angular speed in RPM can be calculated as follows:In 1 min, the angle rotated = 360°No. of seconds in 1 min = 60∴

The angle rotated in 1 sec = 360°/60 = 6° or (π/30) radThe angle rotated in 24 hours = 360°No. of seconds in 24 hours = 24 × 60 × 60 = 86,400∴

The angle rotated in 1 sec = 360°/86,400 = 1/240° or π/43,200 radThe angular speed in RPM is given by w = (360°/43,200) × 60 = 0.1666 RPM (approx.)

(d) The radius of the tire = 12 inchesThe speed of the car = 75 mphLet the car travel for 1 hour in which the tire makes x revolutions∴

The distance travelled by the car in 1 hour = 75 miles = circumference of the tire × x= 2π × 12 × x inches= 24πx inchesTherefore, 24πx = 75 × 5280 × 12 inches or x = 19600 revolutions∴

The tire makes 19600 revolutions in 1 hour= 19600 × 2π radians= 39200π radians∴ Angular speed = ω = 39200π/3600 = 109.11 rad/sec= (109.11/2π) RPM= 17.36 RPM (approx.)

Therefore, the angular speed in rad/sec is 109.11 rad/sec and the angular speed in RPM is 17.36 RPM.

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A rock is thrown downward with a velocity of 25 m/s from the edge of a cliff which is 50 meters high. What is the approximate speed of the rock just before it hits the ground at the base of the cliff?

Answers

The approximate speed of the rock just before it hits the ground at the base of the cliff, given that it was thrown downward with a velocity of 25 m/s is 40 m/s

How do I determine the Final speed?

We can obtain the final speed of the rock before it hit the ground by using the following formula:

v² = u² + 2gh

Where

v is the final speedu is the initial speedg is the acceleration due to gravityh is the height

Now, we can determine the final speed of the rock as follow:

Initial speed (u) = 25 m/sHeight (h) = 50 mAcceleration due to gravity (g) = 9.8 m/s²Final speed (v) =?

v² = u² + 2gh

v² = 25² + (2 × 9.8 × 50)

v² = 625 + 980

v² = 1605

Take the square root of both sides

v = √1605

v = 40 m/s

Thus, the the final speed is 40 m/s

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