A bicycle with 55.20 cm diameter wheels is traveling at 23.60 km/hr.

At what angular speed do the wheels turn?
answer is 23.8

but still not sure how to find the time
How long do they take to turn once around?

1 answer

YEs, that is what period is.

if it goes 23.8rad/sec, then it goes 23.8rad/sec*1rev/2PI rad or 3.79rev/sec, so period is 1sec=3.79rev or one rev=.264sec, so period is .264sec
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