Question

if the circular frequency is 30π radians per minute, the time period is​

Answer 1

given: circular frequency (ω) = 30π radians per minute

To find:  time period (T)

Solution:

as we know that ω = 2π f    ........(eqn 1)

here, ω = angular velocity

        f = frequency

we know that f = 1/T   ..........(eqn 2)

T= time period

we know that time period is always reciprocal of frequency.

so, put (eqn 2) in (eqn 1), we get,

       ω = 2π.(1/T)

        T = 2π / ω

        ω = 30π radians per minute     (given)

so,

       T = 2π / 30π

         = 1/15

         =0.066 min.

Answer: time period is 0.066 min.