Question

An object is traveling around a circle with a radius of 6 inches. If in 30 seconds a central angle of 1/6 radians is swept out, what are the linear and angular speeds of the object?

Answer 1

 RdΘ/dt = v 
dΘ/dt = (1/3)/20 = 1/60 rad/sec 
5(1/60 ) = 5/60 cm/sec = 1/12 cm/sec 

Angular Speed = dΘ/dt = 1/60 rad/sec 
Linear Speed = RdΘ/dt = 1/12 cm/sec