# Torque (Grades 11-12)

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## Torque

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.

Torque is a measure of a force's tendency to produce .

- linear motion
- freefall motion
- rotational motion
- momentum

2.

What is the SI unit of torque?

- [math]kg*m^2[/math]
- [math]N/s[/math]
- [math]m^2 / s^2[/math]
- [math]N•m[/math]

3.

If [math]F[/math] is the force applied on a lever arm at a distance, [math]r[/math], from the axis of rotation at an angle, [math]theta[/math], how does one calculate torque [math]tau[/math]?

- [math]tau = r * F[/math]
- [math] tau = r/F [/math]
- [math] tau = rFsin theta [/math]
- [math] tau = rFcos theta [/math]

4.

A force of 12N is applied on a lever arm at a distance of 80cm from the axis of rotation and at an angle of [math]30deg[/math] to the lever arm. What is the resultant torque?

5.

At what value of the angle between lever arm and applied force, [math]theta[/math], is torque at its maximum?

- [math]0deg[/math]
- [math]30deg[/math]
- [math]60deg[/math]
- [math]90deg[/math]

6.

A force of 20 N is applied on a lever arm at a distance of 3 meters from the fulcrum. If the distance was changed to 6 meters from the fulcrum, and the force was applied at the same angle, how much force would be needed to produce the same amount of torque?

- 10 N
- 20 N
- 30 N
- 40 N

7.

What is the right hand grip rule in terms of torque?

8.

Person A applies a perpendicular force of 10 N at the terminal end of a 20-cm long wrench. Person B applies a perpendicular force of 10 N at exactly 20 cm from the twist point of a wrench which is 40 cm long. Who will produce more torque?

- Person A
- Person B
- Both will produce the same torque.

9.

What is the scalar product of torque [math]tau[/math] and angular velocity [math]omega[/math]?

- angular momentum
- moment if inertia
- linear momentum
- power

10.

What is the law of conservation of angular momentum?

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