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Rotational Kinematics & Dynamics

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.
A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is the time interval required for it to reach a 4.2 rad displacement after starting from rest   
a)

1.8 s

b)

2.0 s

c)

16 s

d)

18 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 gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?

a)

6.67 rad/s

b)

2500 rad/s

c)

41.9 rad/s

d)

20.9 rad/s

4.
A flywheel starts from rest, and has an angular acceleration of 4 rad/s2. What will be its angular speed when it has made one revolution? 
a)

5.01 rad/s

b)

50.27 rad/s

c)

2.83 rad/s

d)

7.09 rad/s

5.

What is 2 radians in degrees?

a)

57.3

b)

114.6

c)

26.65

6.

What is the angular displacement in radians if a paint spot on a tire turns from 57.3 degrees to 282 degrees?

a)

12834 rad

b)

224.7 rad

c)

3.9 rad

d)

180 rad

7.

What is the average angular velocity in radians if a paint spot on a tire turns from 57.3 degrees to 282 degrees in 0.5 sec?

a)

25668 rad/s

b)

7.8 rad/s

c)

449 rad/s

d)

1.95 rad/s

8.

The number of complete revolutions per second is:

a)

frequency

b)

period

c)

torque

d)

rotational inertia

9.
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 Nm

b)

1.5 Nm

c)

750 Nm

d)

150 Nm

10.
The easiest way to open a heavy door  is by applying the force
a)

Near the hinges

b)

In the middle of the door

c)

At the edge of the door far from the hinges

d)

At the top of the door

11.

If the torque required to loosen a nut on the wheel of a car has a magnitude of 60.0 Nm, what minimum perpendicular force must be exerted by a mechanic at the end of a 45.0 cm wrench to loosen the nut?

a)

2700 N

b)

 133 N

c)

27 N

d)

1.3 N

12.
What is the weight of the package?
a)

5 N

b)

10 N

c)

15 N

d)

20 N

13.
What is the weight of the package?
a)

5 N

b)

10 N

c)

15 N

d)

20 N

14.
Looking at the picture, which way will it rotate?
a)

Clockwise

b)

Counter clockwise

c)

Neither

15.
Which requires more muscle strength (pull by the muscle) to lift a 25 pound dumbbell?
a)

An arm with a longer forearm

b)

An arm with a shorter forearm

c)

The length doesn't matter