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A physics professor demonstrates the Doppler effect by tying a 450
Hz sound generator to a 1.0
−
m
-long rope and whirling it around her head in a horizontal circle at 100
rpm .
A. What is the difference between the highest frequency heard by a student in the classroom and the initial frequency of the sound generator? Express your answer with the appropriate units.
B. What is the difference between the lowest frequency heard by a student in the classroom and the initial frequency of the sound generator? Express your answer with the appropriate units.

Respuesta :

The difference between the highest frequency heard by a student in the classroom and the initial frequency of the sound generator is =582.5 Hz and 619.2 Hz

briefly:-

F(s) = 600 Hz, the generator's frequency

The rope's length is r = 1 m.

rotating frequency, w = 100 rpm

First, we determine the generator's speed, v (g)

v(g) = r.w

However, it should be remembered that we must convert the whirling speed from rpm to rad/s.

100 rpm is 100*2/60 rad/s.

100 rpm = 200π/60

100 rpm = 620.4 / 60

10.47 rad/s for 100 rpm.

Now, we employ this to determine the generator's speed.

v(g) = r.w

v(g) = 1 * 10.47

v(g) = 10.47 m/s

The frequency is estimated when approaching the generator as

F(a) = F(s) / [(v(g)/v) - 1)]

F(a) = 600 / [1 - (10.47/343)]

F(a) = 600 / 0.969

F(a) = 619.2 Hz

On the other hand, the frequency of the retreating generator is

F(r)=F(s)/[1 + (v(g)/v)]

F(r) = 600 / [1 + (10.47/343)]

F(r) = 600 / 1.030

F(r) = 582.5 Hz

The highest and lowest frequencies are therefore 619.2 Hz and 582.5 Hz, respectively.

To know more about Doppler effect  visit:-

https://brainly.com/question/29586032

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