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A sound source plays middle C (262 Hz). How fast would the source have to go to raise the pitch to C sharp (271 Hz)? Use 343 m/s as the speed of sound.

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This is a basic problem in which we use Doppler effect equation. Keep in mind that the stationary is detector and source is in motion. Which means that the vd=0v_{d}=0. Let's write the equation for Doppler effect:

fd=fs(vvd)(vvs)(1)f_{d}=f_{s}\cdot \frac{(v-v_{d})}{(v-v_{s})}\tag1

Where the vv is the speed of sound. In this problem fdf_{d} is frequency of C sharp, while fsf_{s} is the frequency of middle C.

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