At a typical bowling alley, the distance from the line where the ball is released (foul line) to the first pin is 60 ft. Assume it takes 5.0 ss for the ball to reach the pins after you release it, if it rolls without slipping and has a constant translational speed. Also assume the ball weighs 12 lb and has a diameter of 8.5 in. Calculate the rotation rate of the ball, in rev/s. What is its total kinetic energy in joules and what fraction of the total is its rotational kinetic energy? Ignore the finger holes and treat the bowling ball as a uniform sphere. Express your answer in pound-feet.
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
At a typical bowling alley, the distance from the line where the ball is released (foul line) to the first pin is 60 ft. Assume it takes 5.0 ss for the ball to reach the pins after you release it, if it rolls without slipping and has a constant translational speed. Also assume the ball weighs 12 lb and has a diameter of 8.5 in.
Calculate the rotation rate of the ball, in rev/s.
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