An instrument package A is bolted to a shaker table as shown. The table moves vertically in simple harmonic motion at the same frequency as the variable-speed motor which drives it. The package is to be tested at a peak acceleration ion of 50 m/s2. Knowing that the amplitude of the shaker table is 58 mm, determine

(a) The required speed of the motor in rpm,

(b) The maximum velocity of the table.