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

200 rpm

=200*2pi radians/1 minute (1 rotation = 2pi radians)

= 400pi radians/60 seconds

=20/3 radians/second

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:

400π radians / 1 minute

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

400π radians / 60 seconds

5. Simplify the expression further:

(400π / 60) radians / second

6. Divide 400 by 60:

20/3 radians/second

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:

1. Start with the given value of revolutions per minute (rpm).

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:

1. Start with 200 rpm.

2. Multiply 200 by 2π to get 400π radians per minute.

3. Divide by 60 to convert minutes to seconds, resulting in 20/3 radians per second.

4. Simplify the expression if necessary, in this case, 20/3 radians per second is the simplest form.

Applying these steps will help you find the angular speed in radians per second for any given wheel rotating at a certain number of revolutions per minute.

## I believe you missed a step and you should double check your answers

:'(