Question

The differential equation of an S. H. M. is D2x÷DT2= -36x . Find the frequency

Answer 1

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Answer 2

Answer:

0.9548 Hz

Explanation:

${d}^{2} x\div d {t}^{2} = - 36x \\ comparing \: this \: equation \: with \: the \: general \: equation$

$d ^{2} x \div dt^{2} = - {ω}^{2} x \\ we \: get \: ω^{2} = 36 \\ therefore \: ω = 6 \: rad \: per \: s \\ ω = 2\pi \: f \\ therefore \: the \: frequency \: f = ω \div 2\pi \: = 6 \div 2 \times 3.142 \\ = 6 \div 6.284 \\ = 0.9548 \: hz$

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