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Forced Oscillations

A length of w...

Question

A length of wire has a frequency of 255 Hz when stretched by a force of 225 N. If the force increase to 324 N, what is the new frequency of vibration?

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Solution

$D e a r s t u d e n t, f_{1} = 255 T_{1} = 225 N f_{2} = ? T_{2} = 324 N A s w e k n o w, f i s p r o p o r t i o n a l t o \sqrt{T} \Rightarrow f = K \sqrt{T} \Rightarrow K = \frac{f}{\sqrt{T}} i t m e a n s, \frac{f_{1}}{\sqrt{T_{1}}} = \frac{f_{2}}{\sqrt{{T_{2}}^{}}} f_{2} = \frac{255 \times \sqrt{324}}{{\sqrt{225}}^{}} f_{2} = 306 H z R e g a r d s$

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