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Worksheets

Rotational motion

Total questions: 18

Worksheet time: 9mins

Name
Class
Date
1.

2600 rev/min is equivalent to which of the following?

a)

2600 rad/s 

b)

43.3 rad/s 

c)

273 rad/s

d)

60 rad/s

2.

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/s2

b)

4.8 rad/s2

c)

3.1 rad/s2

d)

1.6 rad/s2

3.

A 0.30m radius automobile tire rotates how many rad after starting from rest and accelerating at a constant 2.0 rad/s2 over a 5.0 s interval?

a)

25 rad

b)

12.5 rad

c)


2 rad

d)

0.5 rad

4.

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

a)

3.2 rad/s

b)

26 rad/s

c)


52 rad/s

d)

81 rad/s

5.

What is the Unit for Torque

a)

m.N

b)

N

c)


W

d)


J

6.

A wrench is used to tighten a nut. A 15N perpendicular force is applied 50cm away from the axis of rotation, and moves a distance of 10 cm as it turns. What is the torque applied to the wrench?

a)

7.5 m.N

b)

1.5 m.N

c)

750 m.N

d)

150 m.N

7.

A 800N man is playing on a seesaw with son who has a weight of 200N. If the child is sitting 3 meters away, how far will the man have to sit to balance the seesaw?

a)


0.75m

b)

3m

c)

1.5m

d)

1m

8.

What is the net torque?

a)


5 mN

b)

10 mN

c)


25 mN

d)

50 mN

9.

What is the net torque?

a)


2 mN

b)


5 mN

c)

10 mN

d)

25 mN

10.

How do you get the maximum torque?

a)

longer lever arm and less force at an acute angle

b)


shorter lever arm and less force perpendicularly

c)

shorter lever arm and more force perpendicularly

d)

longer lever arm and more force perpendicularly

11.

When a rigid object rotates about a fixed axis, what is true about all the points in the object? 

a)

They all have the same tangential acceleration.

b)

They all have the same angular speed.

c)

They all have the same tangential speed.

d)

They all have the same radial acceleration.

12.

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis through point P?

a)

A

b)

B

c)

C

d)

D

13.

A centrifuge rotor rotating at 9200rpm. The 9200rpm means

a)

period

b)

frequency

c)

angular speed

d)

angular acceleration

14.

A rotating merry-go-round makes one complete revolution in 10s, so the period of the merry-go-round is

a)

0.1s

b)

0.5s

c)

10s

d)

20s

15.

A 40-cm-diameter wheel accelerates uniformly about its center from 120rpm to 280rpm in 4s, determine its angular acceleration.

a)

2.1rad/s2

b)

25rad/s2

c)

2.51rad/s2

d)

4.2rad/s2

16.

2 rad equals to

a)
114.59 degrees
b)
90 degrees
c)
360 degrees
d)
180 degrees
17.

Calculate the rotational kinetic energy of a wheel with a rotational inertia of 10 kg ⋅m 2 and an angular velocity of 2 rad/s.

a)
5 J
b)
10 J
c)
30 J
d)
20 J
18.

A disk and a ring have the same mass and radius, but the ring has all its mass at the rim. Which has a greater rotational inertia?

a)

Cannot be determined without additional information

b)
The ring has a greater rotational inertia.
c)
Both have the same rotational inertia.
d)
The disk has a greater rotational inertia.