1 rpm=rads-1?

To convert from revolutions per minute (rpm) to radians per second (rad/s), you need to understand the relationship between the two units.

First, let's break down the units:

- Revolutions per minute (rpm) represents the number of complete rotations around a point in one minute.
- Radians per second (rad/s) represents the angular velocity, measured in radians, covered in one second.

To convert from rpm to rad/s, you need to use the following conversion factor:

1 revolution = 2π radians

Now, let's convert:

1 rpm = (1 revolution / 1 minute)
= (2π radians / 1 revolution) × (1 revolution / 1 minute)
= 2π radians / minute

To convert from minutes to seconds, remember that there are 60 seconds in 1 minute:

1 rpm = 2π radians / (1 minute) × (1 minute / 60 seconds)
= 2π radians / 60 seconds
= π/30 rad/s

Therefore, 1 rpm is equal to π/30 rad/s.