What is the formula to convert rpm to rad/s?

To convert revolutions per minute (rpm) to radians per second (rad/s), it's crucial to understand the relationship between these units.

One complete revolution is equivalent to (2\pi) radians. Therefore, when you have a measurement in revolutions, multiplying by (2\pi) gives you the angular displacement in radians. Since you are looking to convert from a measure per minute to a measure per second, you must also account for the time conversion from minutes to seconds.

Specifically, the conversion involves taking the revolutions per minute and using the fact that there are 60 seconds in a minute. The formula becomes:

[ \text{rad/s} = \left(\text{rpm}\right) \times \frac{2\pi \text{ radians}}{1 \text{ revolution}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} ]

Simplifying this gives:

[ \text{rad/s} = \left(\text{rpm}\right) \times \frac{2\pi}{60} ]

Thus, option B, which explicitly states that rpm should be multiplied by (2\pi) radians per revolution, correctly describes this