Question 896935
A belt connects two pulleys with a radius 5 in(point B) and 7 in (point C). The velocity of point A on the belt is 25ft/sec. What is the linear velocity (ft/sec) and the angular velocity (rad/sec) for point B?What is the linear velocity (ft/sec) and the angular velocity (rad/sec) for point C?
Hint: every point on the belt is moving at the same speed.
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For point B:
linear velocity=25 ft/sec
angular velocity={{{25(ft/sec)*(rev/(2(pi)*5in))*(12in/ft)*(2(pi)rad/rev)=(25*12*2)/10=60(rad/sec)}}}
ft,rev,π,in cancel out
..
For point B:
linear velocity=25 ft/sec
angular velocity={{{25(ft/sec)*(rev/(2(pi)*7in))*(12in/ft)*(2(pi)rad/rev)=(25*12*2)/14=42.86(rad/sec)}}}
ft,rev,π,in cancel out