A long rope is fixed at one end and set into transverse vibration by a motor at the other end. While observing a point on the rope, a learner notes that 36 crests pass the point in 12s. The speed of the wave along the rope is measured to be 3m/s.
(a) Calculate the frequency of the wave on the rope.
(b) Determine the time period of the wave.
(c) Using the given wave speed, find the wavelength of the wave travelling along the rope.