Question 1

How far did the bicycle travel during the 5.0 seconds of braking?

Accepted Answer

A) 1.8 m 
B) 8.8 m 
C) 22 m 
D) 42 m 
E) 44 m 
A) 1.8 m 
B) 8.8 m 
C) 22 m 
D) 42 m 
E) 44 m

Question 2

A long thin rod of length 2L rotates with a constant angular acceleration of 8.0 rad/sS1U1P12S1S1P0 about an axis that is perpendicular to the rod and passes through its center.
-What is the ratio of the angular speed (at any instant) of a point on the end of the rod to that of a point a distance L/2 from the end of the rod?

Accepted Answer

A) 1:1 
B) 1:2 
C) 2:1 
D) 4:1 
E) 1:4 
A) 1:1 
B) 1:2 
C) 2:1 
D) 4:1 
E) 1:4

Question 3

A long thin rod of length 2L rotates with a constant angular acceleration of 8.0 rad/sS1U1P12S1S1P0 about an axis that is perpendicular to the rod and passes through its center.
-What is the ratio of the centripetal acceleration of a point on the end of the rod to that of a point a distance L/2 from the end of the rod?

Accepted Answer

A) 1:1 
B) 1:2 
C) 2:1 
D) 4:1 
E) 1:4 
A) 1:1 
B) 1:2 
C) 2:1 
D) 4:1 
E) 1:4

Question 4

A rigid body rotates about a fixed axis with a constant angular acceleration.Which one of the following statements is true concerning the tangential acceleration of any point on the body?

Accepted Answer

A) The tangential acceleration is zero m/s2. 
B) The tangential acceleration depends on the angular velocity. 
C) The tangential acceleration is equal to the centripetal acceleration. 
D) The tangential acceleration is constant in both magnitude and direction. 
E) The tangential acceleration depends on the change in the angular velocity. 
A) The tangential acceleration is zero m/s2. 
B) The tangential acceleration depends on the angular velocity. 
C) The tangential acceleration is equal to the centripetal acceleration. 
D) The tangential acceleration is constant in both magnitude and direction. 
E) The tangential acceleration depends on the change in the angular velocity.

Question 5

A 2.0-kg solid disk rolls without slipping on a horizontal surface so that its center proceeds to the right with speed 5.0 m/s.   The point A is the uppermost point on the disk and the point B is along the horizontal line that connects the center of the disk to the rim.
-What is the instantaneous speed of the point of the disk that makes contact with the surface?

Accepted Answer

A) zero m/s 
B) 5.0 m/s 
C) 7.1 m/s 
D) 7.5 m/s 
E) 10.0 m/s 
A) zero m/s 
B) 5.0 m/s 
C) 7.1 m/s 
D) 7.5 m/s 
E) 10.0 m/s

Question 6

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s.
-What is the magnitude of the centripetal acceleration of a point on the rim of the grindstone?

Accepted Answer

A) zero m/s2 
B) 0.5 m/s2 
C) 1.0 m/s2 
D) 2.0 m/s2 
E) 4.0 m/s2 
A) zero m/s2 
B) 0.5 m/s2 
C) 1.0 m/s2 
D) 2.0 m/s2 
E) 4.0 m/s2

Question 7

A circular disk of radius 2.0 m rotates, starting from rest, with a constant angular acceleration of 20.0 rad/s2.What is the tangential acceleration of a point on the edge of the disk at the instant that its angular speed is 1.0 rev/s?

Accepted Answer

A) 40 m/s2 
B) 79 m/s2 
C) 110 m/s2 
D) 120 m/s2 
E) zero m/s2 
A) 40 m/s2 
B) 79 m/s2 
C) 110 m/s2 
D) 120 m/s2 
E) zero m/s2

Question 8

An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min.If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?

Accepted Answer

A) 7 
B) 14 
C) 21 
D) 49 
E) 150 
A) 7 
B) 14 
C) 21 
D) 49 
E) 150

Question 9

A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center.A point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s.
-Determine the tangential acceleration of the point that is 0.2 m from the center.

Accepted Answer

A) 0.4 m/s2 
B) 2.0 m/s2 
C) 4.0 m/s2 
D) 10 m/s2 
E) zero m/s2 
A) 0.4 m/s2 
B) 2.0 m/s2 
C) 4.0 m/s2 
D) 10 m/s2 
E) zero m/s2

Question 10

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s.
-What is the magnitude of the tangential acceleration of a point on the rim of the wheel?

Accepted Answer

A) zero m/s2 
B) 0.5 m/s2 
C) 1.0 m/s2 
D) 2.0 m/s2 
E) 4.0 m/s2 
A) zero m/s2 
B) 0.5 m/s2 
C) 1.0 m/s2 
D) 2.0 m/s2 
E) 4.0 m/s2

Question 11

A circular disk of radius 0.015 m rotates with a constant angular speed of 5.0 rev/s.What is the acceleration of a point on the edge of the disk?

Accepted Answer

A) 0.31 m/s2 
B) 1.6 m/s2 
C) 9.9 m/s2 
D) 15 m/s2 
E) zero m/s2 
A) 0.31 m/s2 
B) 1.6 m/s2 
C) 9.9 m/s2 
D) 15 m/s2 
E) zero m/s2

Question 12

Through how many revolutions does the grindstone turn during the 4.0-second interval?

Accepted Answer

A) 0.64 
B) 3.8 
C) 4.0 
D) 6.4 
E) 40 
A) 0.64 
B) 3.8 
C) 4.0 
D) 6.4 
E) 40

Question 13

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s.The angular speed is then increased to 12 rad/s over the next 4.0 seconds.Assume that the angular acceleration is constant.
-What is the average angular speed of the grindstone?

Accepted Answer

A) 0.5 rad/s 
B) 2.0 rad/s 
C) 4.0 rad/s 
D) 8.0 rad/s 
E) 10 rad/s 
A) 0.5 rad/s 
B) 2.0 rad/s 
C) 4.0 rad/s 
D) 8.0 rad/s 
E) 10 rad/s

Question 14

During the spin-dry cycle of a washing machine, the motor slows from 90 rad/s to 30 rad/s while the turning the drum through an angle of 180 radians.What is the magnitude of the angular acceleration of the motor?

Accepted Answer

A) 64 rad/s2 
B) 32 rad/s2 
C) 10 rad/s2 
D) 20 rad/s2 
E) 1.0 rad/s2 
A) 64 rad/s2 
B) 32 rad/s2 
C) 10 rad/s2 
D) 20 rad/s2 
E) 1.0 rad/s2

Question 15

Which equation is valid only when the angular measure is expressed in radians?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Exam 8: Rotational Kinematics

How far did the bicycle travel during the 5.0 seconds of braking?

A rigid body rotates about a fixed axis with a constant angular acceleration.Which one of the following statements is true concerning the tangential acceleration of any point on the body?

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s. -What is the magnitude of the centripetal acceleration of a point on the rim of the grindstone?

A circular disk of radius 2.0 m rotates, starting from rest, with a constant angular acceleration of 20.0 rad/s2.What is the tangential acceleration of a point on the edge of the disk at the instant that its angular speed is 1.0 rev/s?

An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min.If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?

A wheel of radius 0.5 m rotates with a constant angular speed about an axis perpendicular to its center.A point on the wheel that is 0.2 m from the center has a tangential speed of 2 m/s. -Determine the tangential acceleration of the point that is 0.2 m from the center.

A sculptor is sharpening a chisel on grindstone of radius 1.0 m that is spinning with a constant angular speed of 2.0 rad/s. -What is the magnitude of the tangential acceleration of a point on the rim of the wheel?

A circular disk of radius 0.015 m rotates with a constant angular speed of 5.0 rev/s.What is the acceleration of a point on the edge of the disk?

Through how many revolutions does the grindstone turn during the 4.0-second interval?

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s.The angular speed is then increased to 12 rad/s over the next 4.0 seconds.Assume that the angular acceleration is constant. -What is the average angular speed of the grindstone?

During the spin-dry cycle of a washing machine, the motor slows from 90 rad/s to 30 rad/s while the turning the drum through an angle of 180 radians.What is the magnitude of the angular acceleration of the motor?

Which equation is valid only when the angular measure is expressed in radians?

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Reflection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

A circular disk of radius 2.0 m rotates, starting from rest, with a constant angular acceleration of 20.0 rad/s².What is the tangential acceleration of a point on the edge of the disk at the instant that its angular speed is 1.0 rev/s?