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Worksheets

Angular

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

A rope swing is 3 meters long and is rotating at 90 deg/s. what's the centripetal acceleration?

a)

7.4 m/s/s

b)

2700 m/s/s

c)

270 m/s/s

d)

4.7 m/s/s

e)

I'm confused

2.

Michael Jordan performs a 360 dunk with an air time of 0.9 seconds. When he lands, it takes him 0.2 seconds to come to a stop. What was his angular acceleration during landing?

a)

2000 deg/s/s (-)

b)

360 deg/s/s (-)

c)

400 deg/s/s (-)

d)

80 deg/s/s (-)

e)

72 deg/s/s (-)

3.

A quarterback's arm is 0.8 meters long and rotating at 4 rad/s at release. How fast is the ball moving?

a)

5 m/s

b)

3.2 m/s

c)

20 m/s

d)

183 m/s

e)

None of the above

4.

If I wanted to throw a baseball 44.7 m/s (100mph) with an arm that is 0.7 m long, how fast would I have to rotate?

a)

64 deg/s

b)

64 m/s

c)

64 rad/s

d)

31 deg/s

e)

31 rad/s

5.

If tangential acceleration is -6 m/s/s and the radius of the object is 2.5, what's the angular acceleration?

a)

6 deg/s/s (-)

b)

4 deg/s/s (-)

c)

2.4 rad/s/s (-)

d)

2.4 deg/s/s (-)

e)

2.5 rad/s/s (-)

6.

A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?

a)

9.6 rad/s/s

b)

4.8 rad/s/s

c)

3.1 rad/s/s

d)

1.6 rad/s/s

7.

The angular velocity is represented by the Greek letter ____.

a)

ω

b)

θ

c)

α

d)

σ

8.

The angular acceleration is represented by the Greek letter ____.

a)

ω

b)

θ

c)

α

d)

σ

9.

The relationship between angular acceleration and linear acceleration is _________

a)

α = a/r

b)

a = α/r

c)

α =ar

d)

a = αr

10.

A Ferris wheel starts at rest and builds up to a final angular speed of 0.70 rad/s while rotating through an angular displacement of 4.9 rad. What is its average angular acceleration?

a)

0.01 rad/s/s

b)

0.05 rad/s/s

c)

1.8 rad/s/s

d)

2.6 rad/s/s

11.

Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

a)

The inside horse

b)

The outside horse

c)

Neither - they both have the same angular speed

12.

To convert between linear velocity and angular velocity you used ___________.

a)

r =vω

b)

ω = vr

c)

ω=r/v

d)

v =rω

13.

A disk with a radius of 0.5 meters is rotating at an angular velocity of 10 rad/s. What is the linear velocity of a point on the edge of the disk?

a)

5 m/s

b)

10 m/s

c)

15 m/s

d)

20 m/s

14.

A figure skater is spinning with an angular velocity of 6 rad/s. If she pulls her arms in and reduces her moment of inertia to half, what will be her new angular velocity?

a)

3 rad/s

b)

6 rad/s

c)

9 rad/s

d)

12 rad/s

15.

A wheel accelerates from rest at a constant angular acceleration of 2 rad/s². How long will it take to reach an angular velocity of 20 rad/s?

a)

5 seconds

b)

10 seconds

c)

15 seconds

d)

20 seconds