A wheel is rotating at 3 radianssec and the wheel has a 39in

A wheel is rotating at 3 radians/sec, and the wheel has a 39-inch diameter. To the nearest foot per minute, what is the linear speed of a point on the rim?

Solution

given angular speed w = 3 rad/sec , diameter d =39 inch => radius r=(39/2) inch

linear speed v = r w

v =(39/2)_*3 inch/sec

v =(39/2)_*3 _*^(1/12)/_(1/60) ft/min

v =(39/2)_*3 _*(60/12) ft/min

v =(39/2)_*3 _*5 ft/min

v =292.5 ft/min

linear speed of point on the rime =293ft/min