Answer to Question #227690 in Physics for Mosses07

Question

A wave traveling along a string is described by
f(x,t)=asin(πbx+qt),
with a = 35 mm , b = 0.33 m−1 , and q = 10.47 s−1.
(a)Calculate the amplitude of the wave
(b)Calculate the wavelength of the wave.
(c)Calculate the period of the wave.
(d)Calculate the speed of the wave.

Answer 1

A wave traveling along a string is described by with a = 35 mm , b = 0.33 m−1 , and q = 10.47 s−1.

$f(x,t)=A\sin(kx+\omega t)\\=0.035\sin(0.33\pi x+0.47t)$

(a) The amplitude of the wave

$A=0.035\:\rm m$

(b) The wavelength of the wave

$\lambda=\frac{2\pi}{k}=\frac{2\pi}{0.33\pi}=6.1\:\rm m$

(c) The period of the wave

$T=\frac{2\pi}{\omega}=\frac{2\pi}{0.47}=13.4\:\rm s$

(d) The speed of the wave

$v=\lambda/T=6.1/13.4=0.46\:\rm m/s$