# High School Physics : Understanding Torque

## Example Questions

### Example Question #61 : Circular Motion

A child spins a top with a radius of with a force of . How much torque is generated at the edge of the top?

Explanation:

Torque is a force times the radius of the circle, given by the formula:

In this case, we are given the radius in centimeters, so be sure to convert to meters:

Use this radius and the given force to solve for the torque.

### Example Question #1 : Understanding Torque

Two children are trying to balance on a  see-saw. One child has a mass of  the other has a mass of . If the see-saw is balanced perfectly in the middle and the  child is sitting at one end of the see-saw, how far from the center should the  child sit so that the system is perfectly balanced?

Explanation:

If the see-saw is  in total, then it has  on either side of the fulcrum.

The question is asking us to find the equilibrium point; that means we want the net torque to equal zero.

Now, find the torque for the first child.

We are going to use the force of gravity for the force of the child.

When thinking of torque, treat the positive/negative as being clockwise vs. counter-clockwise instead of up vs. down. In this case, child one is generating counter-clockwise torque. That means that since , child two will be generating clockwise torque.

Solve for the radius (distance) of the second child.

### Example Question #3 : Understanding Torque

A force is applied perpendicularly to a  wrench. How much torque is generated?

Explanation:

The formula for torque is:

In this formula,  is the angle the force makes with the lever arm. Since our force is applied perpendicularly, this angle will be . Use this angle, the force applied, and the length of the lever arm to calculate the torque.

### Example Question #1 : Understanding Torque

In ancient Greece, construction workers would use long levers to lift up boulders. Assume a boulder has a mass of  and a certain construction worker has a mass of . The pivot point of the lever is placed  from the boulder and the construction worker stands on the opposite end. How long does the lever need to be between the pivot point and the construction worker in order for the system to be in equilibrium?