Time for a wheel to complete one revolution at 3.0 rad/s

[blackout85]

If a wheel is turning at 3.0 rads/s, the time it takes to complete one revolution is about:

3.0 rads/s X 1 revolution/6.28 rads = .477 revolutions/s
I just need to get the number of seconds to complete one revolution. Please explain how to go about this just step wise. Thank you.


The rotational speed of the minute hand of a watch is:

w= anglular displacement/ time
w=2pi radian in a circle/ 3600 seconds in one rotation
The reason I put 3600 seconds in the denominator is because it takes that many seconds for the minute hand of a clock to make one full revolution

60minutes X 60second= 3600

Thanks for the help

 

[Andrew Mason]

If a wheel is turning at 3.0 rads/s, the time it takes to complete one revolution is about:

3.0 rads/s X 1 revolution/6.28 rads = .477 revolutions/s
I just need to get the number of seconds to complete one revolution. Please explain how to go about this just step wise. Thank you.

Use: $\omega = 2\pi f = 2\pi/T$ where $\omega$ is the angular speed in radians/sec, f is the frequency or number of revolutions/sec and T is the time for one revolution.

AM