Question 733798
A pulley with a radius of 8 inches rotates three times every five seconds. Find the angular velocity of the pulley in radians/sec (round to the nearest hundredth). Find the linear velocity to the nearst ft/hr.

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let C=circumference of 8 inch pulley
{{{C=pi*diameter=16(pi) inches}}}
{{{linear  velocity=(3 rev/5sec)(16(pi)inches/rev)(ft/12 inches)(3600 sec/hr)}}}
cross out: rev, sec, inches
{{{linear  velocity=3*16(pi)*3600/(5*12)=9047.79 (ft/hr)}}}
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{{{Angular velocity=(3 rev/5 sec)(2(pi) radians/rev)=6(pi)/5=3.77 (radians/sec)}}}