Angular Impulse Momentum

$-$ In $2020$ reliever Jordan Hicks recorded a velocity of $105$ mph on his fast ball. During the late cocking phase to the acceleration phase, he generated an net internal rotation torque of $683\mathrm{.}45$ Nm over a period of $40$ ms $.$ How much angular impulse did the pitcher generate?

$-$ If the combined mass of his upper arm, lower arm, and ball was $6\mathrm{.}88$ kg with a radius of gyration of $25\mathrm{.}63$ cm $,$ What was the moment of inertia of the arm about the shoulder?

$-$ During the late cocking phase to the acceleration phase, the shoulder moves from maximal external rotation to internal rotation. What is the shoulder internal rotation velocity during this period?

$-$ What was the linear velocity of the ball at the instant of release if the ball is $77\mathrm{.}60$ cm away from the axis AOR? What was the ball's radial acceleration just before release? If the baseball weighs $149$ grams, what was the centripetal force needed to maintain the angular motion during the throw?