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Damm [24]
3 years ago
9

A musician on a unicycle is riding at a steady 6.2 m/s while playing their well tuned oboe at an A above middle C (440 Hz). They

then ride toward another musician sitting on a park bench also playing an A above middle C. However it appears to them that one of them is off as they hear beats. If we assume both are tuned properly and the outside temperature is 27 oC what will the beat frequency they hear be
Physics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

The frequency of the beat is  f_t =  8Hz    

Explanation:

From the question we are told that

   The speed of the ride v = 6,2 m/s

   The frequency of the oboe is  f = 440Hz

    The temperature outside is  T = 27^oC

Generally the speed of sound generated in air is mathematically evaluated as

             v_s = 331  + 0.61 T

Substituting value

           v_s = 331 + 0.61 *27

           v_s = 347.47 \ m/s

The frequency of sound(generated by the musician on he park) getting to the musicians on the unicycle is mathematically evaluated as

                 f_a =  \frac{v_s }{v_s - v} f

substituting values

                f_a =  \frac{347.47 }{347.47  - 6.2} * 440                

               f_a =  448Hz

Since the musician on the park is not moving the frequency of sound (from the musicians riding the unicycle )getting to him is  = 440Hz

    The beat frequency these musician here is mathematically evaluated as

                  f_t = f_a - f  

So               f_t = 448 - 440  

                  f_t =  8Hz    

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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Here's the solution :

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