A pulley 12 inches in diameter makes 150 complete rotations per minute. What is the linear velocity, in feet/sec, of a cable attached to the pulley? In feet/sec. -5/2 pi rads/sec

To find the linear velocity of a cable attached to the pulley, we first need to calculate the circumference of the pulley. The diameter of the pulley is 12 inches, so the radius is 6 inches. The circumference of the pulley is given by: The pulley makes 150 complete rotations per minute. Therefore, the distance traveled by the cable in one minute is: To convert this distance to feet, we divide by 12 (since there are 12 inches in a foot): Now, to convert this to feet per second, we divide by 60 (since there are 60 seconds in a minute): Therefore, the linear velocity of the cable is feet per second.