Tuning Forks in Neurology Tuning forks are used in the diagnosis of nervous affl

Question

Tuning Forks in Neurology Tuning forks are used in the diagnosis of nervous afflictions known as large-fiber polyneuropathies, which are often manifested in the form of reduced sensitivity to vibrations. Disorders that can result in this type of pathology include diabetes and nerve damage from exposure to heavy metals. The tuning fork in the figure has a frequency of 132 Hz. If the tips of the fork move with an amplitude of 1.35 mm, find their maximum speed. Find their maximum acceleration-Give your answer as a multiple of g .

Explanation / Answer

The frequency of the vibration is f = 132 Hz
The amplitude of the vibration is A = 1.35 mm = 0.00135 m

the maximum speed of the prongs will be

vmax = A

vmax = 2fA

vmax = 2*3.14*132*0.00135

vmax = 1.119 m/s

The maximum acceleration is

amax = 2A

amax = (2.*3.14*132)2*0.00135

amax = 927.68 m/s2

amax = 94.66g (g = 9.8 m/s2)

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