A carnival ride starts at rest and is accelerated
from an initial angle of zero to a final angle of 6.3 rad by a counterclockwise angular
rad acceleration of 2.0s²
What is the angular velocity at 6.3 rad?
Answer using a coordinate system where
counterclockwise is positive.
Round answer to two significant digits.
Answers
The final angular velocity of the carnival ride is determined as 5.02 rad/s.
What is the final angular velocity of the carnival ride?
The final angular velocity of the carnival ride is calculated by applying the following kinematic equation.
ωf² = ωi² + 2αθ
where;
ωf is the final angular velocityωi is the initial angular velocity α is the angular accelerationθ is the angular distanceThe given parameter include the following;
the final angular velocity = ?
the initial angular velocity = 0
the angular acceleration = 2 rad/s²
the angular distance = 6.3 rad
The final angular acceleration of the carnival ride is calculated as follows;
ωf² = ωi² + 2αθ
ωf² = 0 + 2αθ
ωf² = 2αθ
ωf = √ (2αθ)
ωf = √ (2 x 2 x 6.3)
ωf = 5.02 rad/s
Thus, the final angular velocity of the carnival ride is a function of the angular distance, angular acceleration and initial angular velocity of the carnival ride.
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Answer: \(5\frac{rad}{s}\)
Explanation:
Khan Academy
Related Questions
If the average hang time of a professional football kick is 4.4s, then determine the average maximum height.
Answers
The average highest height of a professional football kick is 189.728 m if the hang time is 4.4 seconds on average.
What is meant by hang time?A person or an object's total duration in the air after leaving the ground is known as their "hang time." From the time anything leaves the ground until it returns, it is measured.
We know,
y= gt²
Here,
y = Average maximum height
g = acceleration due to gravity
t = Average hang time
Given,
Average hang time (t) = 4.4s
Acceleration due to gravity (g) = 9.8 m/s² (assuming)
Inserting these values in the given equation,
y = gt²
= 9.8×4.4×4.4
= 189.728 m.
Hence, the average maximum height of the football is 189.728 m.
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Lichen grows on the surface of hornblende granite and causes it to breakdown at a faster rate. This is an example of. _______ Weathering
Answers
Answer:
Chemical.
Explanation:
Weathering can be defined as the physical and chemical breakdown of rock into smaller pieces called sediment. Weathering can be classified into two categories namely;
I. Physical weathering : it is the process of breaking rocks into pieces without affecting its chemical composition e.g temperature, abrasion and frost action.
II. Chemical weathering : it is the process of breaking rocks into pieces by chemical action which leads to changes in its chemical composition e.g carbonation, hydration, plant acid and oxidation.
In this scenario, Lichen grows on the surface of hornblende granite and causes it to breakdown at a faster rate. Thus, this is an example of chemical weathering
Redo Example 5,assuming that there is no upward lift on the plane generated by its wings. without such lift , the guideline shapes downward due to the weight of the plane. for purposes of significant figures, use 2.42 kg for the mass of the plane , 18.5m for the length of the guideline , and 19.6 and 39.2 m/s for he speeds.
Answers
The tension in the guideline are 151.8 N when the model airplane is flying in a circle at a constant speed of 19.6 m/s. When the speed is increased to 39.2 m/s, the tension in the guideline increases to 283.8 N.
How to determine tension?In Example 5, the model airplane was flying in a circle at a constant speed. The tension in the guideline was equal to the centripetal force, which was given by the equation:
Fc = mv²/r
where m = mass of the airplane, v = speed, and r = radius of the circle.
In this case, there is no upward lift on the plane, so the tension in the guideline is equal to the weight of the plane, which is given by the equation:
W = mg
where m = mass of the plane and g = acceleration due to gravity.
Set these two equations equal to each other to find an expression for the tension in the guideline:
mv²/r = mg
Solving for T:
T= mv²/r + mg
For the given values, calculate the tension in the guideline as follows:
T = (2.42 kg)(19.6 m/s)²/(18.5 m) + (2.42 kg)(9.8 m/s²)
T = 128.1 N + 23.7 N
T = 151.8 N
Therefore, the tension in the guideline is 151.8 N when the model airplane is flying in a circle at a constant speed of 19.6 m/s. When the speed is increased to 39.2 m/s, the tension in the guideline increases to 283.8 N.
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Complete question:
Redo Example 5,assuming that there is no upward lift on the plane generated by its wings. without such lift , the guideline shapes downward due to the weight of the plane. for purposes of significant figures, use 2.42 kg for the mass of the plane , 18.5m for the length of the guideline , and 19.6 and 39.2 m/s for he speeds.
The model airplane in Figure 5.6 has a mass of 0.90 kg and moves at a constant speed on a circle that is parallel to the ground. The path of the airplane and its guideline lie in the same horizontal plane, because the weight of the plane is balanced by the lift generated by its wings. Find the tension in the guideline (length = 17 m) for speeds of 19 and 38 m/s.
20
A person walks 2.0 m east, then turns and goes 4.0 m west, then turns
and goes back 6.0 m east. What is that person's total displacement?
(Remember to include the correct units) *
Your answer
Answers
if a car begins at rest and accelerates to 60 mph with an average acceleration of 13.5 m/her/sec. how much time will it take to get to 60 mph?
Answers
Answer:
Explanation:
First, we need to convert the velocity to meters per second:
60 mph = 88.5 ft/s = 26.82 m/s
Now we can use the formula:
v = at
where v is the final velocity, a is the acceleration, and t is the time.
Rearranging this formula, we get:
t = v/a
Substituting the values, we get:
t = 26.82 m/s / 13.5 m/s^2 = 1.987 seconds (rounded to three decimal places)
Therefore, it will take approximately 1.987 seconds to reach 60 mph with an average acceleration of 13.5 m/her/sec.
The vehicle will hit 60 mph in 7152 seconds (or about 1 hour and 59 minutes) with an average acceleration of 13.5 m/hr/sec.
What is acceleration ?The definition of acceleration is. The pace at which velocity changes with regard to time. Because it has both amount and direction, acceleration is a vector variable. It is also the second derivative of location in relation to time, or the first derivative of motion in relation to time.
We can begin by converting the final velocity to meters per second (m/s) as the initial acceleration is given in m/hr/sec.
60 mph = 26.8224 m/s (1 mile = 1.60934 km, 1 hour = 3600 seconds)
Now, we can use the formula:
v = u + at
Where,
v = final velocity = 26.8224 m/s
u = initial velocity = 0 m/s (car starts at rest)
a = acceleration = 13.5 m/hr/sec = 0.00375 m/s^2 (convert from m/hr/sec to m/s^2)
t = time taken to reach the final velocity
Substituting the values, we get:
26.8224 = 0 + (0.00375)t
t = 26.8224 / 0.00375
t ≈ 7152 seconds
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Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans
Answers
The three places where fresh water can be found is ice sheets, water vapor, and rivers.
What is fresh water?A fresh water is any type of naturally occurring liquid or frozen water containing low concentrations of dissolved salts and other total dissolved solids.
Where fresh water can be foundFresh water can be found in the following locations;
ice sheets, water vapor, riversThus, the three places where fresh water can be found is ice sheets, water vapor, and rivers.
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A peregrine falcon dives at pigeon . the falcon start downward from rest with free-fall acceleration . if the pigeon is 76.0 m below the initial position of the falcon , how long the falcon take to reach the pigeon? Assume that the pigeon remains at rest .
Answers
Answer:
3.94 s
Explanation:
Take down to be positive. Given:
Δy = 76.0 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
76.0 m = (0 m/s) t + ½ (9.8 m/s²) t²
t = 3.94 s
You are working out on a rowing machine. Each time you pull the rowing bar (which simulates the oars) toward you, it moves a distance of 1.1 m in a time of 1.8 s. The readout on the display indicates that the average power you are producing is 90 W. What is the magnitude of the force that you exert on the handle?
Answers
Answer:
147.27N
Explanation:
Power = workdone/time
Power = Force*distance/time
Given
Power = 90Watts
Distance = 1.1m
Time = 1.8secs
Force = ?
Substitute the given parameters into the formula:
\(90 = \frac{1.1d}{1.8}\\cross \ multiply\\ 90 \times 1.8 = 1.1F\\162 = 1.1F\\1.1F = 162\\F = \frac{162}{1.1} \\F = 147.27N\)
Hence the magnitude of the force that you exert on the handle is 147.27N
Consider a regular solution, for which energy
w =5 kJ/mol
At what temperature, in K, will a miscibility limit emerge?
Answers
At room temperature,300 K, will a miscibility limit emerge. At the temperature less than, the miscibility will fall below 1%.
What is temperature?Temperature directs the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles, more the temperature.
Hence, at room temperature,300 K, will a miscibility limit emerge. At the temperature less than, the miscibility will fall below 1%.
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what is the velocity of this graph between points a and b? 0.0m/s 2.5m/s 5.0m/s 6.0m/s?
Answers
Answer:
Pick c is the right one
Explanation:
5.0m/s
(TIMED) Sally Diamond observes that light striking a sheet of material at 26.7 degree angle to the surface is bent to an angle of 36 degrees relative to the normal as it passes through the material. Through what material is the light passing?
Pyrex
Ruby
Water
Crown glass
Answers
Answer:
Crown glass
Explanation:
We can use Snell's Law to determine the material through which the light is passing.
Snell's Law states that n1 sinθ1 = n2 sinθ2, where n1 and n2 are the indices of refraction of the two materials, θ1 is the angle of incidence, and θ2 is the angle of refraction.
In this case, we know that the angle of incidence is 26.7 degrees, and the angle of refraction is 36 degrees. We also know that air has an index of refraction of approximately 1.
Using Snell's Law, we can solve for the index of refraction of the material:
1 sin 26.7 = n2 sin 36
n2 = (1 sin 26.7) / (sin 36)
n2 ≈ 1.52
The index of refraction of the material is approximately 1.52. This corresponds to the index of refraction of crown glass, which is a common optical material used in lenses and prisms. Therefore, the light is most likely passing through crown glass.
A hypothesis always starts with.....
Question 1 options:
If
then
conclusion
because
Answers
Answer:
because
Explanation:
starts with question then explored through the mind.
Find the gravitational potential energy of an 84 kg person standing atop Mt. Everest at an altitude of 8848 m. Use sea level as the location for y
Answers
Answer:
\(E=7.28\times 10^6\ J\)
Explanation:
Given that,
Mass of a person, m = 84 kg
The person is standing at a top of Mt. Everest at an altitude of 8848 m
We need to find the gravitational potential energy of the person. We know that the gravitational potential energy is possessed due to the position of an object. It is given by :
E = mgh, g is the acceleration due to gravity
\(E=84\ kg\times 9.8\ m/s^2\times 8848\ m\\\\E=7283673.6\ J\\\\E=7.28\times 10^6\ J\)
So, the gravitational potential energy of the person is \(7.28\times 10^6\ J\)
Write two artificial and two natural source of light.
Answers
Two natural sources of light: the sun and the stars
Two artificial sources of light: light bulb and torches
Answer:
Natural lights: Sunlight, Moonlight, or Lightning
Artificial: Light bulb, Candles, or a lighter/matches
Explanation:
define paralax error pls
Answers
Answer:
Parallax is a displacement or difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.
An elevator uses 100 000J of electrical energy to raise a load of 800 N through a height of 40m in a time of 20s. What fraction of the energy input was NOT transferred to the load? A) 32% B) 68% C) 80%D) 97%
Answers
W: work
F: force required to lift load; F = 800 N
d: distance lifted: d = 40 m
W = Fd = 800*40
W = 32000 J
If 100000J were exerted on a load for which only 32000J was necessary, the other 100000-32000 = 68000J was not transferred to the load.
68000/100000 = 0.68 = 68%
Which of these would be a part of a force diagram for this image? Check all that apply.
Answers
The forces that we must include in the force diagram are;
A dot that represents the boxA vector labeled Fg, pointing straight down A vector labeled Fs, pointing parallel to and up the ramp.What is a force diagram?The term force diagram has to do with a description of the forces that act on an object. We know that force is a vector quantity. As such, force has both magnitude and direction. The direction of the force has to do with the area where the effect of the force would be felt. A force can have a vertical or a horizontal component.
Let us now turn to the image that is under review in the question that we have to answer here. We know that the effective force that acts on the object can be obtained by looking at the net force that comprises of all the forces that are acting on the object as shown in the full question in the image attached here.
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Which organisms were first responsible for depleting carbon dioxide from the atmosphere, replacing it with oxygen?
A) Plants
B) Dinosaurs
C) Cyanobacteria
D) Trilobites
Answers
Hopes this helps
What occurred in the fall of 1971 between the US and China that could be considered a major diplomatic move?
A. The United States was given a direct phone line to the Chinese leader
B. The US convinced the USSR to drop China as an ally
C. China abandoned the Warsaw Pact and joined NATO
D. The US allowed China into the United Nations
Answers
The United States was given a direct phone line to the Chinese leader. Therefore, the correct option is option A among all the given options.
What occurred in the fall of 1971 between the US and China ?The offer to compete in China surprised members of the United States Table Tennis Team. While competing in the World Table Tennis Championship in Nagoya, Japan, the team's Chinese counterparts offered members for an all-expenses-paid trip to the People's Republic, making them the first Americans to be formally invited to China that since communist takeover in 1971.
In the fall of 1971 between the US and China that could be considered a major diplomatic move, the United States was given a direct phone line to the Chinese leader.
Therefore, the correct option is option A.
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i NED HELP i’m so confused
Answers
Which statement best describes the primary difference between scientific investigation and technological design?
Scientific investigation is more time consuming than technological design.
Technological design is more expensive than scientific investigation.
Technological design involves background research, and scientific investigation does not require research.
Scientific investigation involves experiments, and technological design involves products.
Su
Answers
The statement best describes the primary difference between scientific investigation and technological design is Scientific investigation involves experiments, and technological design involves products. Option D
What are scientific investigation and technological design?It can be said that both scientific investigation and technolgical design require problem-solving, creativity, and rigorous methods.
However, both of them have different objectives. While Scientific investigation seeks to expand knowledge and understanding of the natural world. Research involvs hypothesis testing and different experiments;
on the other hand, Technological design, wants to create or improve products, processes, or systems to meet specific needs or solve particular problems.
It can then be defined as the application of scientific knowledge for practical purposes.
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
Answers
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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90% of cancer originate from
Answers
Carcinoma refers to a malignant neoplasm of epithelial origin or cancer of the internal or external lining of the body. Carcinomas, malignancies of epithelial tissue, account for 80 to 90 percent of all cancer cases. Epithelial tissue is found throughout the body.
A series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 to
a battery. What is the total equivalent resistance?
Answers
The total equivalent resistance of the circuit which consists of 4 resistors ( 1202, 180, 320 and 3802 ) connected in series is 50.1 KΩ
Resistance of resistor,
1202 = 12 KΩ180 = 18 Ω320 = 32 Ω3802 = 38 KΩTotal equivalent resistance, R = R1 + R2 + R3 + R4
R = 12000 + 18 + 32 + 38000
R = 50.1 KΩ
Equivalent resistance is a another way of indicating total resistance. The equivalent resistance will be of a single resistor that replaces the total network without altering any effect on the system.
Therefore, the total equivalent resistance of a series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 is 50.1 KΩ
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Which method should be used to determine which type of natural event produces the greatest number of sand dunes?
Research articles about different types of natural events around the world and the formation of sand dunes.
O Design an experiment that tests multiple types of sand dune formation by natural events using repeated trials
O Model some types of sand dune formation by hurricanes and other types by rain storms in a closed system.
o Construct a mathematical equation that compares size of sand dunes formed by each natural event
Answers
Answer: the answer is b
Explanation:
Compare the weight of a 60 kg person on the earth with the weight of the same person on
the moon. Then, describe a quick (but very costly) way for dieters
at NASA to lose weight.
Answers
Answer:
Explanation:
The formula for weight is
W = mg, where
W = the weight of the object or person
m = mass of the object or person
g = acceleration due to gravity
Now, we're given the mass of the person to be 60 kd, and thus, the weight of that person would be
W = 60 * 9.81
W = 588.6 N
On the surface of the moon, the weight of the person would be
W = 60 * 1.625
W = 97.5 N
Therefore, the weight of the person on both surfaces are 588.6 and 97.5 respectively
Alkali Metals • Most ___________________ metals
Answers
Answer: They’re the most reactive metals
Explanation: They have larger ionic radii and low ionization energies
A student measures that 81,500 J of thermal energy were added to 0.5 kg of water. If the specific heat of water is 4,184 J/kg 0C, what was its change of temperature?
Answers
Answer:
\(\Delta T=38.95^{\circ} C\)
Explanation:
Given that,
Heat measured, Q = 81500 J
Mass of water, m = 0.5 kg
The specific heat of water is 4,184 J/kg °C
We need to find the change in temperature. The heat measured is given by :
\(Q=mc\Delta T\)
Where
\(\Delta T\) is the change in temperature
\(\Delat T=\dfrac{Q}{mc}\\\\\Delat T=\dfrac{81500}{0.5\times 4184 }\\\\\Delta T=38.95^{\circ} C\)
So, the change in temperature is \(38.95^{\circ} C\).
Linear Motion is the most basic type of motion. Question 2 options: True False
Answers
A hiker caught in a rainstorm absorbs 1.00 L of water in her clothing. If it is windy so that the water evaporates quickly at 20 ∘C, how much heat is required for this process?
Answers
Answer:
2260000 J
Explanation:
From the question,
Q = ml.................... Equation 1.
Where Q = Heat, m = mass of water, l = specific latent heat of vaporization.
But we can get the mass o water using the formula of density.
D = m/v........... Equation 2
Where D = density of water, v = volume of water.
make m the subject of the formula in equation 2
m = D×v............ Equation 3
Substitute equation 3 into equation 1
Q = D×v×l................. Equation 4
Given: v = 1.00 L = 0.001 m³.
Constant: l = 226000 J/kg, D = 1000 kg/m³
Substitute these values into equation 4
Q = 0.001(2260000)(1000)
Q = 2260000 J