Ratio of maximum acceleration to the maximum velocity of a simple harmonic oscillator is

Ratio of maximum acceleration to the maximum velocity of a simple harmonic oscillator is
  1. $\omega$
  2. $\frac{\omega}{2}$
  3. $\omega^2$
  4. $2 \omega$

Solution

For SHM, we know that, Maximum acceleration, $\left|a_{\max }\right|=\omega^2 A$ Maximum velocity, $\left|v_{\max }\right|=\omega A$ where, $\omega=$ angular velocity/frequency $A=$ amplitude $\therefore$ According to question, the ratio is $\frac{\left|a_{\max }\right|}{\left|v_{\max }\right|}=\frac{\omega^2 A}{\omega A}=\omega$

Asked in: AP EAMCET 2021 (23 Aug Shift 2)

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