Use the figure to estimate the angle 0 through which the pulley should be rotated to raise the weight 4 inches. 19 in. The pulley should be rotated approximately | (Type an integer or a decimal. Do not round until the final answer. Then round to the nearest tenth as needed.)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 | radians per minute.A bicycle's wheels are 20 inches in diameter. If the bike is traveling at a rate of 21 miles per hour, find the angular speed of the wheels. The angular speed is radians per hour. (Round to two decimal places as needed.)Hard disks are circular disks that store data in your computer. Suppose a circular hard disk is 4.25 inches in diameter. If the disk rotates at 7300 revolutions per minute, what is the linear speed of a point on the edge of the disk (in inches per minute)? The linear speed is approximately inches per minute. (Do not round until the final answer. Then round to two decimal places as needed.)