Trig
posted by SK .
assume a pulley has a radius of 12.96 cm. If it takes 18 seconds for 56 cm of belt to go around the pulley, find the angular velocity in radians per seconds

Circumference = 2(pi)12.96 = 81.43
so 18/56 = x/81.43
x= 18(81.43)/56
26.17 sec for 1 rotation of the wheel
so the angular velocity = 2pi/26.17
or .24 radians/second