The angle covered per minute is radians The airspeed of the

The angle covered per minute is radians. ?

The airspeed of the plane is miles per hour. ?

A camera in the control tower is taping the plane\'s flight. The speed that the camera must turn to keep up is radians per second. ?

Solution

a) revolutions --0.75 rev/min

In radians --- 0.75*2pi/min = 4.71 rad/min

b) linear velocity = angluar vel. *radius = 4.71*4.1 = 19.32 miles/hr

c) camera would rotate at same speed of plane - 4.71 rad/min to track the plane

Total angle rotated = angular vel*time =4.71*10 = 47.1 radians