# A wheel is rotating at 200 revolutions per minute .find the angular speed in radians per second.

200 rpm

You can follow the same procedure for the other two questions you asked.

## To find the angular speed in radians per second, you can follow the given procedure. Here's the step-by-step solution:

1. Start with the given angular speed in revolutions per minute (rpm). In this case, the angular speed is 200 rpm.

2. Convert revolutions per minute (rpm) to radians per minute by multiplying by 2π. One revolution is equal to 2π radians.

200 rpm = 200 * 2π radians / 1 minute

3. Simplify the expression:

4. Convert radians per minute to radians per second by dividing by 60. There are 60 seconds in a minute.

5. Simplify the expression further:

(400π / 60) radians / second

6. Divide 400 by 60:

Therefore, the angular speed of the wheel is equal to 20/3 radians per second.

## To find the angular speed in radians per second, you can use the following steps:

2. Multiply the rpm by 2π to convert revolutions to radians. (1 revolution is equal to 2π radians)
3. Divide the result by 1 minute to convert the time from minutes to seconds.
4. Simplify the expression if possible.

In the case of the given example: