A grinding wheel of radius 0.20m rotates at a steady rate of 1200revolutions per minute (rpm).
a. (i) Convert the given rate into frequency in s−1 and then find the angular speed of the wheel.
b. (ii) Calculate the linear speed of a point on the rim of the wheel.
c. (iii) If a paint mark is made on the rim, how much time will it take for the mark to travel a total linear distance of 1.0km along its circular path, assuming the speed remains constant?