Figure shows a primitive well pump that is common in undeveloped areas. To maximize water flow, the piston should travel upward at a rate of $50m\frac{m}{s}$ and $150m\frac{m}{s^2}$ in the position shown, determine the angular velocity and acceleration that must be imposed on the handle to achieve the desired piston speed. $[$Ans: Angular velocity of handle $-0\mathrm{.}2ra\frac{d}{s}]$