A long, taut rope is fixed at one end while the other end is shaken to produce waves that travel along the rope at 4.5ms−1.
(i) During an observation interval of 6s, 15 crests are seen to pass a fixed point on the rope. Calculate the frequency of the waves.
(ii) Using the data above, determine the wavelength of the waves travelling on the rope.
(iii) The amplitude of shaking is adjusted so that the wavelength becomes half of the value obtained in part (ii) while the speed of the waves remains the same. Calculate the new frequency of the waves.