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 0.642 m. At one point on this circle, the ball has an angular acceleration of 70.0 rad/s2 and an angular speed of 18.6 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

a) total acc = ((70*0.642)^2 + (18.6^2*0.642)^2)^0.5

=226.6 m/s^2

b)angle =arctan(18.6^2*0.642/(70*0.642))

=78.56 degrees

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