Two pulleys are connected by a belt so that when one pulley rotates, the linear speeds of the belt and both pulleys are the same. (See the figure.) The radius of the smaller pulley is 4 inches, and the radius of the larger pulley is 10 inches. A point on the belt travels at a rate of 500 inches per minute. Complete parts (a) and (b). 10 (a) Find the angular speed of the larger pulley. The angular speed of the larger pulley is 50 radians per minute. (b) Find the angular speed of the smaller pulley. The angular speed of the smaller pulley is radians per minute.Find the missing quantity. Let 0 represent the central angle of a circle, r represent the radius of the circle, and s represent the length of the intercepted arc. r = 3 m, 0=60 , s=? S = m (Type an integer or decimal rounded to the nearest thousandth as needed.)