This problem considers additional aspects of example Calculating the Effect of Mass Distribution on a MerryGo-Round. (a) How long does it take the father to give the merry-go-round an angular velocity of 1.50 rad/s? (b) How many revolutions must he go through to generate this velocity? (c) If he exerts a slowing force of 300 N at a radius of 1.35 m, how long would it take him to stop them?
Step-by-step solution Step 1 of 3 (a) Use following formula to calculate time required attaining the angular velocity Here is the final angular velocity, is the initial angular velocity, is the angular acceleration and is time taken. Substitute, , and , Hence, the time taken is . Step 2 of 3 (b) Use following formula to find number of revolutions, Here is the angular displacement, is the final angular velocity, is the initial angular velocity, is the angular acceleration and is time taken. Substitute, , and , Divide the value of by calculate number of revolutions, Hence, number of revolution is .