A long horizontal string carries a transverse wave travels to right. A 6.20 m se

Question

A long horizontal string carries a transverse wave travels to right. A 6.20 m segment of the long string has 4 complete wavelengths and has mass of 150g. It vibrates sinusoidally and vertically in Y direction with period 15.38 ms
- find wave number k and angular frequency w - find wave speed and tension If max vertical velocity is 35 ms, find amp of wave and power A long horizontal string carries a transverse wave travels to right. A 6.20 m segment of the long string has 4 complete wavelengths and has mass of 150g. It vibrates sinusoidally and vertically in Y direction with period 15.38 ms
- find wave number k and angular frequency w - find wave speed and tension If max vertical velocity is 35 ms, find amp of wave and power
- find wave number k and angular frequency w - find wave speed and tension If max vertical velocity is 35 ms, find amp of wave and power

Explanation / Answer

4*wavelength = 6.2 m

wavelength = 1.55 m

a) wave number k = 2pi/wavelength

k = 2*3.14/1.55 = 4.05 m^-1

b) t = 1/f

f = 65.02 Hz

v = wavelength*f = 1.55*65.02 = 100.78 m/sec

c) v = Aw

A = v/w = 100.78/2*3.14*65.02 = 0.25 m

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