An object is traveling around a circle with the radius of 5cm. If in 20sec the central angle of 1/3 radian is swept out, what is the angular speed of the object? Linear speed?
Here's how I did it. angular speed-->
a) omega=theta(in radians)/elapsed time
= π/3/20= π/3*1/20 = π/60 radians/sec. Is that the same as the answer in the book, 1/60?
b) v=rw (length/radius)(omega=angular speed)
=5cm*(1/60)= 1/12 cm/s
the answer in the book is 12m/s.
what did I do wrong?