In a fast-pitch softball game the pitcher is impressive to watch, as she deliver

Question

In a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. In one instance, the radius of the circle is 0.631 m. At one point on this circle, the ball has an angular acceleration of 64.5 rad/s2 and an angular speed of 12.5 rad/s. (a) Find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) Determine the angle of the total acceleration relative to the radial direction.

Explanation / Answer

angular acceleration of 64.5 rad/s2

radial acc= omega^2*r=98.6rad/s2

total acc=117.8227rad/s2

angle= cosinv(98.6 /117.8227)=33.19

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