The frequency of a tuning fork with amplitude $A = 1\text{ cm}$ is $250\text{ Hz}$. The maximum velocity of…

The frequency of a tuning fork with amplitude $A = 1\text{ cm}$ is $250\text{ Hz}$. The maximum velocity of any particle in air is equal to
  1. 10$\pi$ ms$^{-1}$
  2. 5$\pi$ ms$^{-1}$
  3. 2$\pi$
  4. None of these

Solution

Maximum particle velocity, $(v_P)_{\text{max}} = \omega A = 2\pi fA$ $= 2\pi (250) (10^{-2}) = 5\pi\text{ ms}^{-1}$

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