A source of sound is attached to a rope and then swung at a constant speed in a horizontal circle, as illustrated in Fig. 5.1. [Figure 5.1] The source moves with a speed of 12.0ms⁻¹ and emits sound of frequency 951 Hz. The speed of the sound in the air is 330ms⁻¹. An observer, standing a very long distance away from the source, hears the sound.
- (a)Calculate the minimum frequency, to three significant figures, of the sound heard by the observer. minimum frequency = ..................................................... Hz[2]
- (b)The circular path of the source has a radius of 2.4 m. Determine the shortest time interval between the observer hearing sound of minimum frequency and the observer hearing sound of maximum frequency. time interval = ..................................................... s[2]
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Mark scheme
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- [C1] (a) fo = fs v/ (v + vs) fo = 951 × 330 / (330 + 12)
- [A1] (a) = 918 Hz
- [C1] (b) t = d/12 = (π × 2.4) / 12
- [A1] (b) = 0.63 s
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