A 4-m long wire with a mass of 40 g is under tension. A transverse wave for which the frequency is 860 Hz, the wavelength is 0.5 m, and the amplitude is 6.7 mm is propagating on the wire. The maximum transverse acceleration of a point on a wire is closest to

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Answer:

Maximum acceleration will be [tex]195372m/sec^2[/tex]    

Explanation:

It is given mass m =40 gram = 0.04 kg

Length of the wire l = 4 m

Frequency of transverse wave f = 860 Hz

Wavelength [tex]\lambda =0.5m[/tex]

Amplitude of the propagating wave [tex]A=6.7mm=0.0067m[/tex]

Angular frequency is equal to [tex]\omega =2\pi f=2\times 3.14\times 860=5400rad/sec[/tex]

Maximum acceleration is equal to [tex]a=\omega ^2A=5400^2\times 0.0067=195372m/sec^2[/tex]

So maximum acceleration will be [tex]195372m/sec^2[/tex]