# Lesson Worksheet: Torque of a Force Physics • 9th Grade

In this worksheet, we will practice using the formula T = Fd to calculate the torque of a force about a rotation axis and also to calculate the net torque.

**Q1: **

A wrench is used by a mechanic to tighten a nut. The wrench is 20 cm long and to tighten the nut it must apply a torque of 12 N⋅m. What force must the mechanic apply to the end of the wrench that is opposite to the end that tightens the nut? The wrench turns in a horizontal circle to tighten the nut.

**Q2: **

A ladder that stands vertically upward is used by firefighters to reach high windows in a burning building. The ladder is 25 m long, and a firefighter is standing on the ladder 20 m from its base. The firefighter leans horizontally to reach into a window beside the ladder, pulling horizontally on the ladder with a force of 35 N. What magnitude of torque is produced about the base of the ladder when the firefighter leans?

**Q3: **

Which of the following formulas correctly shows the relation between the force acting on an object, the torque that the force produces, and the perpendicular distance of the force from the point that the object rotates around?

- A
- B
- C
- D
- E

**Q4: **

A sheet of mass 12 kg and uniform density is balanced on a pivot, as shown in the diagram. What is the magnitude of the force that balances the sheet horizontally? Give your answer to the nearest newton.

**Q5: **

A seesaw consists of a horizontal plank of wood 5 m long, with its mass equally distributed along its length. The fulcrum of the seesaw is positioned at the center of the plank. A child of mass 28 kg sits at the right-hand end of the seesaw, and a larger child with a mass of 35 kg sits at the left-hand end. The seesaw tips down on the larger child’s end, and the larger child shuffles toward the seesaw’s fulcrum until it starts to rise again. The larger child must be less than a certain distance from the fulcrum for the seesaw to start to rise again. What is this distance?

**Q6: **

A horizontal plank of uniform density is held in position by a downward directed force at one of its ends, as shown in the diagram. The mass of the plank is 25 kg. What is the size of the downward force?

**Q7: **

A washing line is attached to the top of a pole, as shown in the diagram. What is the magnitude of the torque at the top of the pole produced by the tension in the washing line?

**Q8: **

How much force is required to produce a 90 N⋅m torque on an object about the point about which the object can rotate? The distance between the point where the force is applied and the point about which the object can rotate is 2.5 m.

**Q9: **

How much torque is produced by a 30 N force acting on an object at a distance of 0.15 m from the point about which the object can rotate?

**Q10: **

A pole that is 15 m long and has a weight of 25 N is balanced at rest on a fulcrum halfway along its length. On the right-hand end of the pole, a vertically downward force of 10 N acts. On the left-hand end, a vertically downward force of 15 N acts. Find the distance from the fulcrum to the pole’s center of mass.