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September 21, 2014

September 21, 2014

Posted by **michelle** on Tuesday, May 1, 2007 at 10:41pm.

I know the answer is 114.59 revolutions per hour, but I don't know what steps to take to get to that answer. Please show me.

Thanks.

the arclength a of a circle is given by a=rθ where θ is in radians.

differentiate with respect to t

da/dt = .25dθ/dt

180 = .25dθ/dt

dθ/dt = 720 radians per hour

one revolution is 2pi radians, so divide 720 by 2pi to get 114.59 revolutions.

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