Free Printable Torque and Rotational Kinematics

Worksheets

Torque and Rotational Kinematics

Total questions: 16

Worksheet time: 32mins

Name

Class

Date

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?

0.666 Nm

133.3 N

66.7 N

13.3 Nm

You apply force to a wrench to tighten a bolt. The wrench breaks in half. Select the best answer for what happens next. Assume the force applied remains constant.

The torque is now half of what it was, because torque and distance are inversely proportional

The torque is now half of what it was, because torque and distance are directly proportional

The torque is now double of what it was, because torque and distance are inversely proportional

The torque is now double of what it was, because torque and distance are directly proportional

A disk initially rotating counterclockwise (CCW) at a certain constant angular speed is suddenly being pulled on by two strings T₁ and T₂, where T₂ > T_1.What is going to happen next?

The disk will continued rotating CCW at the constant angular speed.

The disk will continued rotating CCW but it will speed up

The disk will slow down and start rotating CW

The disk will eventually stop rotating

How do you find the tangential speed of a rotating circle?

v = ωr

v = ωr²

v = ωπ

v = ωπr

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

How do you get the maximum torque?

longer lever arm and more force at an acute angle

shorter lever arm with more force perpendicularly

shorter lever arm and more force perpendicularly

longer lever arm with more force perpendicularly

Looking at the picture, which way will it rotate?

Clockwise

Counter clockwise

Neither

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

Two masses of mass 10.0 and 6.0 kg are hung from massless strings at the end of a light rod. The rod is virtually weightless. A pivot (fulcrum) is placed off center and the system is free to rotate. If the 6.0 kg mass is 4.0 m away from the pivot, how far away is the 10.0 kg mass if the system is not rotating?

0.42 m

2.4 m

4.8 m

4.2 m

10.

Two wheels are fixed to each other and are free to rotate about a frictionless axis through their concentric centers. Four forces are exerted tangentially to the wheels. As a result of the net torque on the wheels, the wheels will rotate-

clockwise

counterclockwise

11.

Where should another 4 N force be applied to maximize the net torque on the object?

12.

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.

13.

It is the state of a rigid body where a solid object is not moving because its influences are balanced

Average Linear Velocity

Rotational Kinematics

Static Equilibrium

Torque

14.

The influences that affect static equilibrium are _______________ and _________________.

Force and Work

Force and Torque

Work and Power

Energy and Torque

15.

[5 points] A figure skater spins on an icy surface. Her moment of inertia is 3.0 kg-m² when her arms are stretched away from her and drops to 2.2 kg-m²when her arms are close to her chest. If she makes three revolutions per second (rps) when her arms are stretched, how many rps will she make when she puts her arms to her chest?

4 rps

2 rps

3 rps

8 rps

16.

[5 points] An airliner arrives at the terminal and the engines are shut off. The rotor of one of the engines has an initial clockwise angular speed of 2000 rad/s. The engines rotation slows with an angular acceleration of magnitude 80 rad/s². Determine the angular speed after 10 s.

1200 rad/s

1225 rad/s

1000 rad/s

500 rad/s

Reset

Torque and Rotational Kinematics

Total questions: 16

Worksheet time: 32mins

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