angular velocity

[xdem713o]

Another hw question I have is "determine the angular velocity in radians per second of a ferris wheel that takes five minutes to make three turns"

Since 1 revolution is 2pi.. the revolution here would be 6 pi. rad/ minute. I'm thinking maybe mulitplying this by 5 minutes/300 seconds?
l

 

[mmm4444bot]

… the [angular velocity] here would be 6 pi. rad/ minute … This is not correct.

If we were told that the wheel makes three revolutions in one minute, then the angular velocity would be 6 Pi radians/minute.

But, that's not what we're told.

How many minutes do we need in the denominator?

 

[xdem713o]

ohh, we need 5 minutes in the denominator. So we would multiply 6pi/5 minutes by 1 minute/60 seconds. and get 6pi/300. we can reduce this to pi/50 rad/second. Again, thank you!

 

[mmm4444bot]

… Pi/50 rad/sec …

You got it.