Connecting Linear and Rotational Motion (AP Physics 1)

Question 1

Use the labeled figure of a rigid disc rotating about its center. Which statement compares points P and Q?

Accepted Answer

Q has three times the tangential speed of P and the same angular velocity.

Answer

Q has three times the angular velocity of P and the same tangential speed.

Answer

Q has three times both the tangential speed and the angular velocity of P.

Answer

P and Q have the same tangential speed because they are on one rigid disc.

Question 2

The figure shows a rigid wheel turning about its axle. Which comparison of A and B is correct?

Accepted Answer

B has twice A's tangential speed, and A and B have the same angular velocity.

Answer

A has twice B's tangential speed, and A and B have the same angular velocity.

Answer

B has twice A's angular velocity, and A and B have the same tangential speed.

Answer

A and B have the same tangential speed because they complete each turn together.

Question 3

In the rigid disc figure, points X and Y rotate together. What does the figure imply about their motion?

Accepted Answer

Y's tangential speed is three times X's, while their angular velocities are equal.

Answer

Y's angular velocity is three times X's, while their tangential speeds are equal.

Answer

X's tangential speed is three times Y's, while their angular velocities are equal.

Answer

X and Y have equal tangential speeds and equal angular velocities.

Question 4

A rigid turntable is shown with points M and N. Which statement correctly uses the marked radii?

Accepted Answer

M's tangential speed is 2.5 times N's, and both points have the same angular velocity.

Answer

M's angular velocity is 2.5 times N's, and both points have the same tangential speed.

Answer

N's tangential speed is 2.5 times M's, and both points have the same angular velocity.

Answer

M and N have the same tangential speed because they rotate through the same angle each second.

Question 5

The rigid disc in the figure rotates at a constant angular velocity. How do P and Q compare?

Accepted Answer

P has three times Q's tangential speed, and both points have the same angular velocity.

Answer

P has three times Q's angular velocity, and both points have the same tangential speed.

Answer

Q has three times P's tangential speed, and both points have the same angular velocity.

Answer

P and Q have equal tangential speeds because the disc is rigid.

Question 6

The labeled wheel is one rigid body. Which statement about A and B follows from the radii shown?

Accepted Answer

B has five times A's tangential speed, and A and B share one angular velocity.

Answer

B has five times A's angular velocity, and A and B share one tangential speed.

Answer

A has five times B's tangential speed, and A and B share one angular velocity.

Answer

A and B have the same tangential speed because each makes one revolution in the same time.

Question 7

For the rigid wheel shown, which comparison between C and D is true while the wheel turns?

Accepted Answer

D has twice C's tangential speed and the same angular velocity as C.

Answer

D has twice C's angular velocity and the same tangential speed as C.

Answer

C has twice D's tangential speed and the same angular velocity as D.

Answer

C and D have the same tangential speed and the same angular velocity.

Question 8

Use the marked radii on the rigid disc. Which statement is correct for points U and V?

Accepted Answer

U's tangential speed is 4/3 of V's, and their angular velocities are the same.

Answer

U's angular velocity is 4/3 of V's, and their tangential speeds are the same.

Answer

V's tangential speed is 4/3 of U's, and their angular velocities are the same.

Answer

U and V have the same tangential speed because the disc rotates as one object.

Question 9

The rigid disc shown rotates about O. Which statement best compares R and S?

Accepted Answer

S has four times R's tangential speed, but R and S have the same angular velocity.

Answer

S has four times R's angular velocity, but R and S have the same tangential speed.

Answer

R has four times S's tangential speed, but R and S have the same angular velocity.

Answer

R and S have the same tangential speed because they sweep out the same angle.

Question 10

The figure shows two marked points on a rigid flywheel. Which comparison is correct?

Accepted Answer

E's tangential speed is twice F's, and E and F have the same angular velocity.

Answer

E's angular velocity is twice F's, and E and F have the same tangential speed.

Answer

F's tangential speed is twice E's, and E and F have the same angular velocity.

Answer

E and F have equal tangential speeds because both are on the same flywheel.

Question 11

A rigid wheel is represented in the figure. What comparison follows for H and K?

Accepted Answer

H has twice K's tangential speed, and both points rotate with the same angular velocity.

Answer

H has twice K's angular velocity, and both points have the same tangential speed.

Answer

K has twice H's tangential speed, and both points rotate with the same angular velocity.

Answer

H and K have the same tangential speed because each completes a full turn together.

Question 12

The labeled rigid disc rotates about its center. Which statement about L and M is correct?

Accepted Answer

M's tangential speed is 1.5 times L's, and their angular velocities are equal.

Answer

M's angular velocity is 1.5 times L's, and their tangential speeds are equal.

Answer

L's tangential speed is 1.5 times M's, and their angular velocities are equal.

Answer

L and M have equal tangential speeds because their angular velocities are equal.

Question 13

A bicycle wheel of radius 0.35 m spins about its axle at a constant angular velocity of 12 rad/s. What is the tangential speed of a point on the tire tread?

Accepted Answer

4.2 m/s

Answer

0.029 m/s

Answer

8.4 m/s

Answer

34 m/s

Question 14

A lab turntable has radius 0.20 m and angular velocity 15 rad/s. What is the tangential speed at its outer edge?

Accepted Answer

3.0 m/s

Answer

0.013 m/s

Answer

6.0 m/s

Answer

75 m/s

Question 15

A point on a rigid rotating arm moves at 9.6 m/s when it is 0.80 m from the pivot. What is the arm's angular velocity?

Accepted Answer

12 rad/s

Answer

0.083 rad/s

Answer

6.0 rad/s

Answer

7.7 rad/s

Question 16

A wheel of radius 0.25 m rotates at 120 rev/min. Use 1 rev = 2π rad. What is the tangential speed of a point on the rim?

Accepted Answer

3.1 m/s

Answer

0.50 m/s

Answer

6.3 m/s

Answer

30 m/s

Question 17

A centrifuge rotor has radius 0.075 m and angular velocity 40 rad/s. What is the tangential speed of a sample at the rim?

Accepted Answer

3.0 m/s

Answer

0.0019 m/s

Answer

6.0 m/s

Answer

530 m/s

Question 18

A rider on a merry-go-round moves at a tangential speed of 2.4 m/s while 1.2 m from the center. What is the angular velocity of the ride?

Accepted Answer

2.0 rad/s

Answer

0.50 rad/s

Answer

2.9 rad/s

Answer

4.0 rad/s

Question 19

A rigid wheel has radius 0.45 m and angular velocity 8.0 rad/s. What tangential speed does a point on the rim have?

Accepted Answer

3.6 m/s

Answer

0.056 m/s

Answer

7.2 m/s

Answer

18 m/s

Question 20

A point on the edge of a rotating disk has tangential speed 7.5 m/s at radius 0.60 m. What is the disk's angular velocity?

Accepted Answer

12.5 rad/s

Answer

0.080 rad/s

Answer

4.5 rad/s

Answer

25 rad/s

Question 21

A grinding wheel of radius 0.50 m is speeding up with angular acceleration 6.0 rad/s². At the instant its angular velocity is 4.0 rad/s, what is the tangential acceleration at the rim?

Accepted Answer

3.0\,m/s^2

Answer

2.0\,m/s^2

Answer

8.0\,m/s^2

Answer

12\,m/s^2

Question 22

A rigid disk has radius 0.25 m, angular velocity 10 rad/s, and angular acceleration 4.0 rad/s². What is the centripetal acceleration of a point on the rim at that instant?

Accepted Answer

25\,m/s^2

Answer

1.0\,m/s^2

Answer

2.5\,m/s^2

Answer

40\,m/s^2

Question 23

A fan blade point is 0.80 m from the axis. The fan has angular acceleration 1.5 rad/s² and angular velocity 3.0 rad/s. What is the point's tangential acceleration?

Accepted Answer

1.2\,m/s^2

Answer

1.9\,m/s^2

Answer

2.4\,m/s^2

Answer

7.2\,m/s^2

Question 24

A turntable's angular velocity increases from 2.0 rad/s to 8.0 rad/s in 3.0 s. At radius 0.30 m, what is the tangential acceleration?

Accepted Answer

0.60\,m/s^2

Answer

1.8\,m/s^2

Answer

6.0\,m/s^2

Answer

19\,m/s^2

Question 25

A disk point at radius 0.40 m has angular velocity 3.0 rad/s while the disk's angular acceleration is 5.0 rad/s². What is the point's centripetal acceleration?

Accepted Answer

3.6\,m/s^2

Answer

1.2\,m/s^2

Answer

2.0\,m/s^2

Answer

12.5\,m/s^2

Question 26

A wheel of radius 0.75 m is slowing down with angular acceleration magnitude 2.0 rad/s². Its angular velocity is 5.0 rad/s. What is the magnitude of tangential acceleration at the rim?

Accepted Answer

1.5\,m/s^2

Answer

2.7\,m/s^2

Answer

3.8\,m/s^2

Answer

19\,m/s^2

Question 27

A point at radius 0.20 m on a rigid wheel rotates with angular velocity 5.0 rad/s. Which relationship correctly gives its tangential speed?

Accepted Answer

v = r

Answer

v = /r

Answer

v = r/

Question 28

A belt runs without slipping over pulleys of radius 0.040 m and 0.12 m; the small pulley rotates at 30 rad/s. Which quantity is the same for both pulley rims at the belt?

Accepted Answer

the tangential speed of the rim

Answer

the angular velocity of each pulley

Answer

the centripetal acceleration of each rim

Answer

the number of rotations per second

Question 29

Two pulleys are connected by a belt that does not slip. The small pulley has radius 0.050 m and angular velocity 18 rad/s; the large pulley has radius 0.15 m. What is the large pulley's angular velocity?

Accepted Answer

6.0 rad/s

Answer

0.30 rad/s

Answer

18 rad/s

Answer

54 rad/s

Question 30

A rigid turntable rotates at 4.0 rad/s. Point A is at radius 0.10 m and point B is at radius 0.30 m. Which quantity is the same for A and B?

Accepted Answer

angular velocity

Answer

tangential speed

Answer

distance traveled in 1.0 s

Answer

centripetal acceleration magnitude

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Connecting Linear and Rotational Motion (AP Physics 1)

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Connecting Linear and Rotational Motion (AP Physics 1)

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner