A whistle revolves in a circle with an angula | vedclass

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(B) The radius of the circle is $r = 50\, cm = 0.5\, m$.The angular speed is $\omega = 20\, rad/s$.The linear speed of the source is $v_s = r\omega =

Vedclass · Accepted Answer

$374$

Vedclass · Answer

(B) The radius of the circle is $r = 50\, cm = 0.5\, m$.The angular speed is $\omega = 20\, rad/s$.The linear speed of the source is $v_s = r\omega = 0.5 	imes 20 = 10\, m/s$.The frequency of the source is $f = 385\, Hz$ and the speed of sound is $V = 340\, m/s$.The observer is far away in the same plane. The minimum frequency is heard when the source is moving directly away from the observer.The formula for the observed frequency is $f' = f \left[ \frac{V}{V + v_s} ight]$.Substituting the values:$f_{\min} = 385 \left[ \frac{340}{340 + 10} ight]$$f_{\min} = 385 \left[ \frac{340}{350} ight]$$f_{\min} = 385 	imes \frac{34}{35} = 11 	imes 34 = 374\, Hz$.

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