The circular blade on a saw rotates at 4600 revolutions per

The circular blade on a saw rotates at 4600 revolutions per minute. (Round your answers to two decimal places.) (b) The blade has a diameter of 6 3/4 inches. Find the linear speed of a blade tip. feet per minute

Solution

radius of circular blade = diameter /2 =( 6 3/4)/2 =27/2*4= 27/8 inches

12 inches = 1 foot

27/8 inches = (1 *27)/(12*8) = 0.28125 foot

angular speed=r = 4600 rpm

linear spped = v = r*w = 0.28125* 4600 = 5175/4 =1293.75 foot per minute.