Subject: linear speed, linear velocity, angular speed Name: Lynn Who are you: Student A belt has a linear speed of 32 mph. It is spinning three pulleys. Pulley A has diameter 14 in. radius = 7 inches Pulley B has diameter 26 in. radius = 13 inches Pulley C has radius 3 ft. radius = 36 inches Angular speed in Radians per min for I got Pulley A= .08 rads/min Pulley B= .04 rads/min Pulley C=.01 rads/min How many cm would pulley C travel in 14 seconds? since I was given linear speed instead of velocity how does that affect the results? Just not sure of the relationship Lynn Hi Lynn, When I looked at your numbers my immediate reaction was that they can't be correct. For example you say that pulley A spins at 0.08 rads/min. There are 2 radians in one revolution and is approximately 3 so there are approximately 6 rads/revolution. (6 rads/revolution) / (0.08 rads/min) = 75 min/revolution When the belt is moving at 32 miles per hour the pulley can't take 75 minutes to make one revolution. The belt is moving at 32 mph. There are 5280 feet in a mile, 12 inches in a foot and 60 minutes in an hour so 32 miles/hour = (32 x 5280 x 12)/60 = 33792 inches/minute Pulley A has a radius of 7 inches and hence a circumference of 14 inches. One revolution of the pulley is 2 radians and hence on the circumference of the pulley there are 7 inches/radian. Thus the pulley is spinning at the rate of  33792/7 = 4827 radians/minute. Penny