Question

Microwave ovens rotate at a rate of about 6 , {rev/min}. What is this in revolutions per second? What is the angular velocity in radians per second?

A. 0.10 , {rev/s}, 0.63 , {rad/s}
B. 0.12 , {rev/s}, 0.75 , {rad/s}
C. 0.15 , {rev/s}, 0.94 , {rad/s}
D. 0.18 , {rev/s}, 1.13 , {rad/s}

Answer 1

To convert the rate of microwave oven rotation from rev/min to rev/s, divide the rate by 60. To convert the rate of rotation to angular velocity in rad/s, multiply the rate in rev/s by 2π.

Step-by-step explanation:

To convert the rate of microwave oven rotation from revolutions per minute (rev/min) to revolutions per second (rev/s), we need to divide the rate by 60, since there are 60 seconds in a minute. So, 6 rev/min is equal to 6/60 = 0.1 rev/s.

To convert the rate of rotation to angular velocity in radians per second (rad/s), we need to multiply the rate in revolutions per second by 2π, since there are 2π radians in one revolution. So, the angular velocity is 0.1 x 2π = 0.63 rad/s.