Tuning forks are used in the diagnosis of nervous afflictions known as large-fib

Question

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 Figure 13-32 has a frequency of 165 Hz. If the tips of the fork move with an amplitude of 1.10 mm, find (a) their maximum speed and (b) their maximum acceleration. Giver your answer to part (b) as a multiple of g.

Explanation / Answer

a) Given frequency = f=165 Hz

Angular velocity = w=2*pi*f = 2*pi*165 = 1036.73 rad/s

Amplitude of vibration = a=1.1 mm = 1.1*10-3 m

Maximum speed = w*a = 1036.73*1.1*10-3 = 1.14 m/s

b)maximum acceleration is given by w2*a = 1036.732 * 1.1*10-3 = 1182.29 m/s2 = 120.64 g

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