Answer: 22.0 rad/s is approximately 210.04 rpm when rounded to two decimal places.
Step-by-step explanation:
To convert angular velocity from radians per second (rad/s) to revolutions per minute (rpm), you can use the following formula:
1 rpm = 60 / (2π) rad/s
Where:
1 rpm is one revolution per minute.
60 is the number of seconds in a minute.
2π is approximately 6.28318 (the value of 2π).
So, to convert 22.0 rad/s to rpm:
rpm = (22.0 rad/s) * (60 / 2π)
rpm ≈ (22.0 rad/s) * (9.5493)
rpm ≈ 210.0426
So, 22.0 rad/s is approximately 210.04 rpm when rounded to two decimal places.