The constant angular acceleration of the rotating disk is 12 rad/s2. The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. ANS: 48 rad 9. The angular acceleration ?, rad/s^2 of a rotating disk is related to its angular velocity ?, rad/s by ? = 4 √?. When t = 0, the disk is at rest and the angular position coordinate of a line in the disk is θ = 8rad. Find the expression for θ(?). ANS: θ(?) = 0.1667 ?^1.5 + 8 10. The rotation of a wheel is defined by the relation, θ = 3t^3 – 5t^2 + 7t – 2 where θ is in radian and t in seconds. Find the angular acceleration when t = 3 seconds. ANS: 44 rad/s^2 12. The shaft of a motor turns at constant speed of 3000 rpm. It turns to how many radians in 40 seconds. ANS: 12566.37 rad 13. The motor driving a grindstone is switched off when the latter has a rotational speed of 240 rpm. After 10sec, the speed is 180 rpm. If the angular retardation remains constant, how many additional revolutions does it make before coming to rest? ANS: 45 revs
8. The constant angular acceleration of the rotating disk is 12 rad/s2. The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. ANS: 48 rad
9. The angular acceleration ?, rad/s^2 of a rotating disk is related to its angular velocity ?, rad/s by ? = 4 √?. When t = 0, the disk is at rest and the angular position coordinate of a line in the disk is θ = 8rad. Find the expression for θ(?). ANS: θ(?) = 0.1667 ?^1.5 + 8
10. The rotation of a wheel is defined by the relation, θ = 3t^3 – 5t^2 + 7t – 2 where θ is in radian and t in seconds. Find the angular acceleration when t = 3 seconds. ANS: 44 rad/s^2
12. The shaft of a motor turns at constant speed of 3000 rpm. It turns to how many radians in 40 seconds. ANS: 12566.37 rad
13. The motor driving a grindstone is switched off when the latter has a rotational speed of 240 rpm. After 10sec, the speed is 180 rpm. If the angular retardation remains constant, how many additional revolutions does it make before coming to rest? ANS: 45 revs
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