A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0.27 s and a range (from the maximum in one direction to the maximum in the other) of 3.0 cm (the amplitude = 15 cm). At time t = 0 it is at its central position and moving in the +x direction and there is no phase lag or advance (i.e).
(i) Determine the frequency of the oscillation?
(ii) Determine the angular speed of the vibration.
(iii) What is its position and velocity when t = 55 sec?