Two gears are connected by a chain. The larger gear has a linear velocity of 17π/6 inches per second. The angular velocity of the smaller gear is 34π/3 radians per minute.
What is the radius of the smaller gear?
+128407 Since the two gears are connected by a chain, the smaller gear will have the same linear velocity as the larger chain
The linear velocity per miunute is 60 * 17pi/6 = 170 pi inches per minute
So.......to find the radius of the smaller chain we have
170 pi = radius * (radians per minute)
170 pi = radius * ( 34pi/3 ) divide out pi
170 = rradius * (34/3) multiply both sides by 3/34
170 (3/34) = radius = 15 in
