A Ferris wheel rotating at 20 rad/s slows down with a constant angular acceleration of magnitude 5.0 rad/s2. How many revolutions does it make while slowing down before coming to rest?

A) 40 B) 20 C) 6.4 D) 3.2 A) 40 B) 20 C) 6.4 D) 3.2

Exam 7: Rotational Motion

A Ferris wheel rotating at 20 rad/s slows down with a constant angular acceleration of magnitude 5.0 rad/s². How many revolutions does it make while slowing down before coming to rest?

(Multiple Choice)

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Question 21

The L-shaped object shown in the figure consists of three small masses connected by extremely light rods. Assume that the masses shown are accurate to three significant figures. What is the moment of inertia of this object (a) about the x-axis, and (b) about the y-axis?

(Short Answer)

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Question 22

When a fan is turned off, its angular speed decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is the magnitude of the average angular acceleration of the fan?

(Multiple Choice)

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Question 23

The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. The wheel has a moment of inertia of 0.100 kg ∙ m². What is the angular acceleration of the wheel?

(Short Answer)

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Question 24

Through how many degrees does a 33 rpm turntable rotate in $0.32 \mathrm {~s} \text { ? }$

(Multiple Choice)

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Question 25

A 3.0-kg mass is located at (0.0 m, 8.0 m), and a 1.0-kg mass is located at (12 m, 0.0 m). You want to add a 4.0-kg mass so that the center of mass (or center of gravity) of the three-mass system will be at the origin. What should be the coordinates of the 4.0-kg mass?

(Multiple Choice)

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Question 26

A wheel starts from rest and has a uniform angular acceleration of 4.0 rad/s². After the wheel completes its first revolution, how long does it take for it to make its second complete revolution?

(Short Answer)

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Question 27

The center of mass (or center of gravity) of a two-particle system is at the origin. One particle is located at (3.0 m, 0.0 m) and has a mass of 2.0 kg. The other particle has a mass of 3.0 kg. What is the location of the 3.0-kg particle?

(Multiple Choice)

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Question 28

Two equal-magnitude forces are applied to a door at the doorknob. The first force is applied perpendicular to the door, and the second force is applied at 30° to the plane of the door. Which force exerts the greater torque about the door hinge?

(Multiple Choice)

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Question 29

A majorette fastens two batons together at their centers to form an X shape. Each baton consists of an extremely light 1.2-m bar with small 0.25-kg balls at each end. What is the moment of inertia of this baton about an axis through the center of the X?

(Short Answer)

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Question 30

Two uniform solid spheres have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia about a central axis to that of the smaller sphere is

(Multiple Choice)

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Question 31

A rolling wheel of diameter of 68 cm slows down uniformly from 8.4 m/s to rest over a distance of 115 m. What is the magnitude of its angular acceleration if there was no slipping?

(Multiple Choice)

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Question 32

A torque of 12 N ? m is applied to a solid, uniform disk of radius 0.50 m. If the disk accelerates at $1.6 \mathrm { rad } / \mathrm { s } ^ { 2 }$ what is the mass of the disk?

(Multiple Choice)

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Question 33

A wheel accelerates from rest to $59 \mathrm { rad } / \mathrm { s }$ at a uniform rate of $58 \mathrm { rad } / \mathrm { s } ^ { 2 }$ Through what angle (in radians) did the wheel turn while accelerating?

(Multiple Choice)

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Question 34

A small 355-g box hangs from one end of a thin light string that goes over a frictionless pulley having a moment of inertia of 0.0125 kg ∙ m² and a radius of 15 cm. A second small package, this one of mass 680 g, hangs from the other end of the string. When the packages are released, the larger one accelerates downward, the lighter one accelerates upward, and the pulley turns without the string slipping. (a) What is the tension in the string on the side of the 355-g package? (b) At what rate do the packages change their speeds?

(Short Answer)

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Question 35

A turntable 45 cm in diameter starts from rest and makes its first complete revolution in 3.4 s with constant angular acceleration. If it maintains the same acceleration, how long will it take the turntable to make its second complete revolution?

(Short Answer)

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Question 36

An artificial satellite in a low orbit circles the earth every 98 minutes. What is its angular speed in rad/s?

(Short Answer)

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Question 37

Consider the sun and its largest planet Jupiter. On the line joining them, how far from the center of the sun is their center mass? Is it within or outside the sun? (Jupiter-sun distance is 778 × 10⁶ km, diameter of the sun is 1.4 × 10⁶ km, the sun is 1000 times as massive as Jupiter)

(Essay)

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Question 38

Three masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0.0 m, 0.0 m), (1.0 m, 1.0 m), and (2.0 m, -2.0 m), respectively. What is the location of the center of mass (or center of gravity) of this system?

(Multiple Choice)

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Question 39

Three small masses are positioned at the following coordinates: 3.0 kg at (3.0 m, 2.0 m); 4.0 kg at (0.0 m, -1.0 m); and 5.0 kg at (5.0 m, -7.0 m). What are the coordinates of the center of mass (or center of gravity) of this system?

(Short Answer)

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Question 40

Showing 21 - 40 of 95

Exam 7: Rotational Motion

A Ferris wheel rotating at 20 rad/s slows down with a constant angular acceleration of magnitude 5.0 rad/s2. How many revolutions does it make while slowing down before coming to rest?

The L-shaped object shown in the figure consists of three small masses connected by extremely light rods. Assume that the masses shown are accurate to three significant figures. What is the moment of inertia of this object (a) about the x-axis, and (b) about the y-axis?

When a fan is turned off, its angular speed decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is the magnitude of the average angular acceleration of the fan?

The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. The wheel has a moment of inertia of 0.100 kg ∙ m2. What is the angular acceleration of the wheel?

Through how many degrees does a 33 rpm turntable rotate in 0.32 s ? 0.32 \mathrm {~s} \text { ? }0.32 s ?

A 3.0-kg mass is located at (0.0 m, 8.0 m), and a 1.0-kg mass is located at (12 m, 0.0 m). You want to add a 4.0-kg mass so that the center of mass (or center of gravity) of the three-mass system will be at the origin. What should be the coordinates of the 4.0-kg mass?

A wheel starts from rest and has a uniform angular acceleration of 4.0 rad/s2. After the wheel completes its first revolution, how long does it take for it to make its second complete revolution?

The center of mass (or center of gravity) of a two-particle system is at the origin. One particle is located at (3.0 m, 0.0 m) and has a mass of 2.0 kg. The other particle has a mass of 3.0 kg. What is the location of the 3.0-kg particle?

Two equal-magnitude forces are applied to a door at the doorknob. The first force is applied perpendicular to the door, and the second force is applied at 30° to the plane of the door. Which force exerts the greater torque about the door hinge?

A majorette fastens two batons together at their centers to form an X shape. Each baton consists of an extremely light 1.2-m bar with small 0.25-kg balls at each end. What is the moment of inertia of this baton about an axis through the center of the X?

Two uniform solid spheres have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia about a central axis to that of the smaller sphere is

A rolling wheel of diameter of 68 cm slows down uniformly from 8.4 m/s to rest over a distance of 115 m. What is the magnitude of its angular acceleration if there was no slipping?

A torque of 12 N ? m is applied to a solid, uniform disk of radius 0.50 m. If the disk accelerates at 1.6rad/s21.6 \mathrm { rad } / \mathrm { s } ^ { 2 }1.6rad/s2 what is the mass of the disk?

A wheel accelerates from rest to 59rad/s59 \mathrm { rad } / \mathrm { s }59rad/s at a uniform rate of 58rad/s258 \mathrm { rad } / \mathrm { s } ^ { 2 }58rad/s2 Through what angle (in radians) did the wheel turn while accelerating?

A turntable 45 cm in diameter starts from rest and makes its first complete revolution in 3.4 s with constant angular acceleration. If it maintains the same acceleration, how long will it take the turntable to make its second complete revolution?

An artificial satellite in a low orbit circles the earth every 98 minutes. What is its angular speed in rad/s?

Consider the sun and its largest planet Jupiter. On the line joining them, how far from the center of the sun is their center mass? Is it within or outside the sun? (Jupiter-sun distance is 778 × 106 km, diameter of the sun is 1.4 × 106 km, the sun is 1000 times as massive as Jupiter)

Three masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0.0 m, 0.0 m), (1.0 m, 1.0 m), and (2.0 m, -2.0 m), respectively. What is the location of the center of mass (or center of gravity) of this system?

Three small masses are positioned at the following coordinates: 3.0 kg at (3.0 m, 2.0 m); 4.0 kg at (0.0 m, -1.0 m); and 5.0 kg at (5.0 m, -7.0 m). What are the coordinates of the center of mass (or center of gravity) of this system?

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A Ferris wheel rotating at 20 rad/s slows down with a constant angular acceleration of magnitude 5.0 rad/s². How many revolutions does it make while slowing down before coming to rest?

The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. The wheel has a moment of inertia of 0.100 kg ∙ m². What is the angular acceleration of the wheel?

Through how many degrees does a 33 rpm turntable rotate in $0.32 \mathrm {~s} \text { ? }$

A wheel starts from rest and has a uniform angular acceleration of 4.0 rad/s². After the wheel completes its first revolution, how long does it take for it to make its second complete revolution?

A torque of 12 N ? m is applied to a solid, uniform disk of radius 0.50 m. If the disk accelerates at $1.6 \mathrm { rad } / \mathrm { s } ^ { 2 }$ what is the mass of the disk?

A wheel accelerates from rest to $59 \mathrm { rad } / \mathrm { s }$ at a uniform rate of $58 \mathrm { rad } / \mathrm { s } ^ { 2 }$ Through what angle (in radians) did the wheel turn while accelerating?

Consider the sun and its largest planet Jupiter. On the line joining them, how far from the center of the sun is their center mass? Is it within or outside the sun? (Jupiter-sun distance is 778 × 10⁶ km, diameter of the sun is 1.4 × 10⁶ km, the sun is 1000 times as massive as Jupiter)