Question

Microwave ovens rotate at a rate of about 5.6 rev/min. What is the rotation rate of the microwave oven in revolutions per second?

1) 0.0933 rev/s
2) 0.0933 rad/s
3) 0.0933 Hz
4) 0.0933 rpm

Answer 1

The rotation rate of a microwave oven rotating at 5.6 rev/min is 0.0933 revolutions per second, and the corresponding angular velocity is approximately 0.586 radians per second.

Step-by-step explanation:

If a microwave oven rotates at a rate of about 5.6 revolutions per minute (rev/min), we can convert this to revolutions per second (rev/s) by dividing by 60 since there are 60 seconds in a minute. This calculation yields:

5.6 rev/min ÷ 60 s/min = 0.0933 rev/s

To find the angular velocity in radians per second, we use the fact that one revolution is equal to 2π radians:

0.0933 rev/s × 2π rad/rev = 0.586 rad/s (approximately)

Therefore, the rotation rate of the microwave oven is 0.0933 rev/s, and the angular velocity is 0.586 rad/s.