68. How fast in kilometers per hour, must asound source be moving toward you to

Question

68. How fast in kilometers per hour, must asound source be moving toward you to make the  
      observed frequency 5.0% greaterthan the true frequency? (Assume that the speed of sound is340      m/s.) 68. How fast in kilometers per hour, must asound source be moving toward you to make the  
      observed frequency 5.0% greaterthan the true frequency? (Assume that the speed of sound is340      m/s.)

Explanation / Answer

We know that when source is moving we have              f ' = f ( v / v-vs) Where f ' = f + 5% f = 1.05 f ==>   1.05 f = f ( 340 / 340-vs) ==>   1.05 * (340 - vs) = 340 ==> 1.05vs = 1.05 * 340 - 340 ==> vs = 16.19 m/s = 58.28 km / hr

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