A discus thrower turns with angular acceleration α = 50 rad/s2, moving the discus in a circle of radius 0.80 m. Consider the thrower’s arm as a rigid body, so r is constant. Find the tangential and centripetal components of acceleration of the discus and the total acceleration when the angular velocity is 10 rad/s.
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.
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A discus thrower turns with
angular acceleration α = 50 rad/s2, moving the discus in a circle of radius 0.80 m. Consider the thrower’s arm as a rigid body, so r is constant. Find the tangential and centripetal components of acceleration of the discus and the total acceleration when theangular velocity is 10 rad/s.
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