Practice Torque in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

The rotational equivalent of force; a measure of how much a force tends to cause an object to rotate about an axis.

How hard you're twisting something. Depends on force AND distance from pivot.

Showing a random 20 of 50 problems.

Example 1

medium
A 1.2 m1.2 \text{ m} wide door requires 18 N⋅m18 \text{ N}\cdot\text{m} of torque to open. (a) What perpendicular force is needed at the handle (placed at the edge)? (b) What force would be needed if the handle were placed only 0.4 m0.4 \text{ m} from the hinges?

Example 2

medium
A solid disk (moment of inertia 0.50.5 kg⋅\cdotm2^2) has a net torque of 22 N⋅\cdotm. Find its angular acceleration.

Example 3

easy
A 1010 N force acts 0.40.4 m from a pivot at 30∘30^\circ to the arm. Find the torque.

Example 4

medium
A 0.30.3 m wrench applies a 4040 N force at 60∘60^\circ to the handle. Find the torque.

Example 5

medium
A 3 m3 \text{ m} seesaw has a pivot at its center. A 30 kg30 \text{ kg} child sits at one end. How far from the center must a 45 kg45 \text{ kg} child sit to balance the seesaw? Use g=9.8 m/s2g = 9.8 \text{ m/s}^2.

Example 6

medium
A bolt requires 35 N⋅m35 \text{ N}\cdot\text{m} to loosen. You only have a 0.2 m0.2 \text{ m} wrench. What perpendicular force must you apply?

Example 7

challenge
A 44 m beam is hinged at the wall and held by a cable at the far end making 30∘30^\circ with the beam. A 120120 N weight hangs at the end (massless beam). Find the cable tension.

Example 8

easy
A force produces torque 66 N⋅\cdotm at a lever arm of 0.30.3 m (perpendicular). Find the force.

Example 9

medium
A 0.5 m0.5 \text{ m} lever arm experiences a 40 N40 \text{ N} force at 90°90° and a 20 N20 \text{ N} force at 30°30° on the same end, both in the same rotational sense. Find the total torque about the pivot.

Example 10

easy
A 0.5 m0.5 \text{ m} lever arm experiences a 40 N40 \text{ N} perpendicular force. Find the torque about the pivot.

Example 11

easy
A wheel experiences a clockwise torque of 55 N⋅\cdotm and a counterclockwise torque of 55 N⋅\cdotm. What is the net torque?

Example 12

easy
A force of 20 N20 \text{ N} is applied at the end of a 0.5 m0.5 \text{ m} wrench, perpendicular to the wrench. What is the torque produced?

Example 13

medium
A 33 kg uniform rod (22 m long) is pivoted at one end (g=10g=10 m/s2^2). Find the torque due to gravity about the pivot when horizontal.

Example 14

medium
A seesaw has a 4040 N child 1.51.5 m left of the pivot. How far right must a 6060 N child sit to balance it?

Example 15

medium
A 5050 N force is applied 0.60.6 m from a pivot, perpendicular to the arm. Find the torque.

Example 16

challenge
A 55 m uniform beam weighs 100100 N, supported at both ends. A 300300 N load sits 11 m from the left end. Find the right support force.

Example 17

medium
A 30 N force is applied at the end of a 0.4 m wrench at 60\u00b0 to the handle. Calculate the torque.

Example 18

easy
If you double the lever arm but keep the perpendicular force the same, what happens to the torque?

Example 19

hard
A uniform 6 m6 \text{ m} beam of weight 200 N200 \text{ N} is hinged at the left wall and held horizontal by a vertical rope at the right end. What tension does the rope exert? Use gg already in the weight.

Example 20

medium
A force of 100 N100 \text{ N} acts at 0.2 m0.2 \text{ m} from a pivot at an angle of 0°0° to the arm. What is the torque?
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