Free Printable Torque & Rotational Kinematics

Worksheets

Torque & Rotational Kinematics

Total questions: 28

Worksheet time: 44mins

Name

Class

Date

Where would a kid sit to experience the greatest tangential speed on a merry-go-round?

the outside

the inside

neither- both have same tangential speed

Which of the following is not a unit of angular speed?

revolutions per minute

rotations per second

revolutions per second

meters per second

Suppose you try loosening a nut with a wrench, and the nut doesn't give at all. You increase your chance of success if you _________

extend the lever arm

be sure the force is perpendicular to the lever arm

exert a large force

All answers are correct

What is the relationship between radians and revolutions?

1 revolution = π radians

1 revolution = 2π radians

1 revolution = 3π radians

1 revolution = 4π radians

What is the unit of angular velocity?

degrees per second (°/s)

radians per second (rad/s)

revolutions per minute (rpm)

meters per second (m/s)

What is the relationship between linear and angular quantities?

Linear speed (v) = radius (r) × angular speed (ω).

Linear speed (v) = angular speed (ω) / radius (r).

Linear speed (v) = radius (r) + angular speed (ω).

Linear speed (v) = radius (r) - angular speed (ω).

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

The inside horse

The outside horse

Neither - they both have the same angular speed

If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?

0.67 rad/s

1.5 rad/s

5 rad/s

6 rad/s

An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?

0.05 rad/s

0.30 rad/s

0.5 rad/s

3 rad/s

10.

An object completes 1.5 circular orbits in half a minute. It orbits with a radius of 2 m. What is the object's tangential speed?

0.15 m/s

0.60 m/s

1.6 m/s

6 m/s

11.

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

2600 rad/s

43.3 rad/s

273 rad/s

60 rad/s

12.

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?

9.6 rad/s/s

4.8 rad/s/s

3.1 rad/s/s

1.6 rad/s/s

13.

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?

7.5 Nm

1.5 Nm

750 Nm

150 Nm

14.

A seesaw is unbalanced with two people of different masses sitting equal distances from the center. Which of the following will result in equilibrium?

The larger person moving further away from the center.

Moving the smaller person closer to the center.

Moving the smaller person further from the center.

Making the larger person do nothing.

15.

When would a force applied to a rigid body lead to zero torque?

When the force is directed towards or away from the axis of rotation.

When the force is applied perpendicular to the lever arm

When the force is a gravitational force

When the force is a normal force

16.

If an object is moving in a circle of radius r with a constant speed v, what is its angular velocity?

Hint: v = rω

v²/ r

v / r

r / v

17.

The graph above shows the angular velocity (ω) of an object with respect to time.

During which time intervals is there a net torque (τ_net) on the object? Select all that apply.

0-2s

2-6s

6-8s

8-10s

18.

An object defined to have both translational and rotational motion. Therefore, the object is

Sliding

Accelerating

Revolving

Rolling

19.

What force is needed in order for an object to roll?

Friction

Tension

Weight

Air Resistance

20.

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?

5.01 rad/s

50.27 rad/s

2.83 rad/s

7.09 rad/s

21.

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

Near the hinges

In the middle of the door

At the edge of the door far from the hinges

At the top of the door

22.

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

.666 Nm

133.3 N

66.7 N

13.3 Nm

23.

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?

0.75m

1.5m

24.

In the diagram above, two masses, one with mass m, the other with mass M = 2m are resting on a uniform plank of length L that pivots at its midpoint. If the mass m is at the far end of the plank, how far away from the pivot should the mass M be to balance the plank in a horizontal position shown?

L/2

L/3

L/4

L/6

25.

What force does not cause any torque?

Force perpendicular to the fulcrum.

Force perpendicular to the bar applied at its end.

Force slightly off center of the fulcrum

Forces at a 45 degree angle to the fulcrum, and not on the fulcrum

26.

Find the magnitude of the torque produced by a 22.0 N force applied to a door at a 30 degree angle a distance of .005 km from the hinge.

55 Nm

.015 Nm

6.3 Nm

8.75 Nm

27.

A radian is all of the following EXCEPT

A dimensionless quantity

The ratio of arc length over radius

The same as degrees

The unit for rotational position

28.

(a) θ indicates the angle through which an object has rotated. It is measured in radians.

Choose from the below words

Angular Displacement

Average Angular Velocity

Instantaneous Angular Velocity

Angular acceleration

Reset

Torque & Rotational Kinematics

Total questions: 28

Worksheet time: 44mins

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