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A 7-m long wire with a mass of 40 g is under tension. A transverse wave for which the frequency is 630 Hz, the wavelength is 0.5 m, and the amplitude is 7.1 mm is propagating on the wire.
The maximum transverse acceleration of a point on a wire is closest to ____ m/sĀ².

Respuesta :

Olajidey

Answer:

111249.41m/sĀ²

Explanation:

Mass of the wire m = 40g = 0.04 Kg

Length of the wire l = 7 m

Linear density of wire Ī¼ = m/l

= 0.04/7

= 0.0057 Kg/m

Frequency n = 630 Hz

Wavelength Ī» = 0.5 m

Amplitude A = Ā 7.1mm = 0.0071m

Speed of the wave v = nĪ»

= 630*0.5

= 315 m/s

Angular speed Ļ‰ = 2Ļ€n

= 2Ļ€*630

= 3958.40 rad/s

Maximum transeverse acceleration

a = Ļ‰^2 A

= 3958.40Ā² Ɨ 0.0071m

= 111249.41m/sĀ²

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