Question

A phonograph record rotates at 45 rpm. Through what angle does it turn in 0.20 s?

Answer 1

The phonograph record turns at an angle of 0.30π rad in 0.20 s.

Step-by-step explanation:

To calculate the angle turned by the phonograph record in 0.20 s, we can use the formula:

Angle = (angular velocity) x (time)

Given that the record rotates at 45 rpm, we first convert this to radians per second:

45 rpm = 45 * 2π/60 = 3π/2 rad/s

Now we can substitute the values into the formula:

Angle = (3π/2 rad/s) x (0.20 s) = 0.30π rad

Therefore, the record turns at an angle of 0.30π rad in 0.20 s.