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A point on a wheel moves at  27π5 radians per minute.

How many seconds are required for the point to complete 12 revolutions?

 Feb 19, 2020
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(27pi/5)  / 60  =   27pi / 300  =  (9/100) pi rads / sec

 

12 revs  =   12 * 2pi    =  24 pi   rads

 

So

 

24pi  /  [(9/100) pi]  =    24 * 100 / 9   =  2400/9   ≈  266.67   sec

 

 

cool cool cool

 Feb 19, 2020

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