A horse on a merry-go-round is 20 ft from the center and travels at 10 mph. What is its angular speed?

First convert speed to ft/second.

10 mph => 52,800 ft/3600 s = 14.67 ft/s

w = Angular speed = V/R
= (14.67 ft/s)/20 ft
= 0.733 radians/sec.