A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s2. The child is standing 4.65 m from the center of the merry-go-round. What angle does the acceleration of the child make with the tangential direction?

A) 90.0° B) 25.5° C) 32.5° D) 64.5° E) 45.0° A) 90.0° B) 25.5° C) 32.5° D) 64.5° E) 45.0°

Exam 10: Rotational Kinematics and Energy

An experiment that can be used to measure the velocity of a bullet is to have two cardboard disks attached to a rotating shaft some distance apart and to measure the angular separation of the holes made by the bullet. In such an experiment, two cardboard disks are placed 0.534 m apart on a shaft that is rotating at 3000 rpm. The bullet is fired parallel to the axis and the angular separation of the holes is measured to be 22.0°. What is the speed of the bullet?

(Multiple Choice)

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Question 81

A string is wound tightly around a fixed pulley whose radius is 5.0 cm. As the string is pulled, the pulley rotates without slipping. What is the angular speed of the pulley when the string has a linear speed of 5.0 m/s?

(Multiple Choice)

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Question 82

A solid cylinder is rolling without slipping. What fraction of its kinetic energy is rotational?

(Multiple Choice)

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Question 83

A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s². The child is standing 4.65 m from the center of the merry-go-round. What angle does the acceleration of the child make with the tangential direction?

(Multiple Choice)

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Question 84

A uniform ball with a mass of 125 g is rolling without slipping along the horizontal surface of a table with a speed of 4.50 m/s when it rolls off the edge and it falls towards the floor, 1.10 m below. What is the rotational kinetic energy of the ball just before it hits the floor?

(Multiple Choice)

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Question 85

A pencil, 15.7 cm long, is released from a vertical position with the eraser end resting on a table. The eraser does not slip. Treat the pencil like a uniform rod. What is the angular speed of the pencil when it makes a 30.0° angle with the vertical?

(Multiple Choice)

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Question 86

A hoop is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop after it has rolled 3.00 m up the ramp?

(Multiple Choice)

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Question 87

A boy and a girl are riding on a merry-go-round that is turning. The boy is twice as far as the girl from the merry-go-round's center. If the boy and girl are of equal mass, which statement is true about the boy's moment of inertia with respect to the axis of rotation?

(Multiple Choice)

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Question 88

A soccer ball whose radius is 11 cm rolls a distance of 10 m in 3.50 s. What is the angular speed of the ball?

(Multiple Choice)

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Question 89

A 10-m plank is being moved by rolling it over two cylindrical logs placed 2 m from either end of the plank. As the plank is pushed, the logs roll on the ground without slipping, and they do not slip with respect to the plank. How far can the plank be moved before the rear log reaches the end of the plank?

(Short Answer)

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Question 90

A Ferris wheel with a radius of 8.00 m rotates at a constant rate, completing one revolution in 30.0 s. What is the apparent weight of a 60.0-kg passenger when she is at the top of the wheel?

(Multiple Choice)

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Question 91

A solid disk is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the disk after it has rolled 3.00 m up the ramp?

(Multiple Choice)

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Question 92

Rolling without slipping depends on

(Multiple Choice)

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Question 93

The preferred positive direction for angular displacement is the clockwise direction.

(True/False)

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Question 94

Two wheels with fixed centers are in contact with each other and rotate without slipping. Wheel A has a radius of 12.0 cm and is rotating with an angular speed of 35.0 rad/s. Wheel B has a radius of 17.0 cm. What is the angular speed of wheel B?

(Multiple Choice)

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Question 95

Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger angular speed?

(Multiple Choice)

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Question 96

Consider a solid sphere of radius R and mass M rolling without slipping. Which form of kinetic energy is larger, translational or rotational?

(Multiple Choice)

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Question 97

A hollow cylinder and a solid cylinder are constructed so they have the same mass and radius. Which cylinder has the larger moment of inertia?

(Short Answer)

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Question 98

An object is made up of three masses connected by massless rods of fixed length. Mass A is located at (30.0 cm, 0 cm) and has a mass of 250 grams, mass B is located at (0 cm, 30.0 cm) and has a mass of 350 grams, mass C is located at (-30.0 cm, 0 cm) and has a mass of 450 grams. What is the moment of inertia of this object about an axis perpendicular to the x-y plane and passing through the origin?

(Multiple Choice)

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Question 99

A hoop with a mass of 2.75 kg is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts down a ramp that makes an angle of 25.0° with the horizontal. What is the rotational kinetic energy of the hoop after it has rolled 3.00 m down the ramp?

(Multiple Choice)

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Question 100

Showing 81 - 100 of 102

Exam 10: Rotational Kinematics and Energy

A string is wound tightly around a fixed pulley whose radius is 5.0 cm. As the string is pulled, the pulley rotates without slipping. What is the angular speed of the pulley when the string has a linear speed of 5.0 m/s?

A solid cylinder is rolling without slipping. What fraction of its kinetic energy is rotational?

A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s2. The child is standing 4.65 m from the center of the merry-go-round. What angle does the acceleration of the child make with the tangential direction?

A uniform ball with a mass of 125 g is rolling without slipping along the horizontal surface of a table with a speed of 4.50 m/s when it rolls off the edge and it falls towards the floor, 1.10 m below. What is the rotational kinetic energy of the ball just before it hits the floor?

A pencil, 15.7 cm long, is released from a vertical position with the eraser end resting on a table. The eraser does not slip. Treat the pencil like a uniform rod. What is the angular speed of the pencil when it makes a 30.0° angle with the vertical?

A hoop is rolling without slipping along a horizontal surface with a speed of 5.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop after it has rolled 3.00 m up the ramp?

A boy and a girl are riding on a merry-go-round that is turning. The boy is twice as far as the girl from the merry-go-round's center. If the boy and girl are of equal mass, which statement is true about the boy's moment of inertia with respect to the axis of rotation?

A soccer ball whose radius is 11 cm rolls a distance of 10 m in 3.50 s. What is the angular speed of the ball?

A Ferris wheel with a radius of 8.00 m rotates at a constant rate, completing one revolution in 30.0 s. What is the apparent weight of a 60.0-kg passenger when she is at the top of the wheel?

A solid disk is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the disk after it has rolled 3.00 m up the ramp?

Rolling without slipping depends on

The preferred positive direction for angular displacement is the clockwise direction.

Two wheels with fixed centers are in contact with each other and rotate without slipping. Wheel A has a radius of 12.0 cm and is rotating with an angular speed of 35.0 rad/s. Wheel B has a radius of 17.0 cm. What is the angular speed of wheel B?

Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger angular speed?

Consider a solid sphere of radius R and mass M rolling without slipping. Which form of kinetic energy is larger, translational or rotational?

A hollow cylinder and a solid cylinder are constructed so they have the same mass and radius. Which cylinder has the larger moment of inertia?

A hoop with a mass of 2.75 kg is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts down a ramp that makes an angle of 25.0° with the horizontal. What is the rotational kinetic energy of the hoop after it has rolled 3.00 m down the ramp?

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A child is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s². The child is standing 4.65 m from the center of the merry-go-round. What angle does the acceleration of the child make with the tangential direction?