Question

A transverse sinusoidal wave is generated at one end of a long horizontal string by a bar which moves the end up and down through a distance of 0.5cm. The motion is continuous and is repeated continuously 150 times per second.

a) If the string has a linear density of 0.25 kg.m-1 and is kept under a tension of 90N, determine the

i) speed

ii) Amplitude

iii) Frequency and

iv) Wavelength of the wave in motion

Answer 1

Answer

1) speed

$v=\frac{T}{\mu}=\frac{90}{0.25}=360m/s$

2) amplitude

$A=\frac{0.5}{2}=0.25cm$

3) frequency

$f=150Hz$

4) wavelength

$\lambda=\frac{v}{f}=\frac{360}{150}=2.4m$