Question

A transverse wave on a rope is given by

Y(x,t) = (0.750m)sin2π [(

t

2.50

s) − (

x

0.400

m)]

a) Find the amplitude, period, frequency, wavelength and speed of propagation.

b) Is the wave traveling in the +x or – x direction?

Answer 1

$y(x,t)=(0.750\ m)\sin 2\pi(\frac{t}{2.5\ s}-\frac{x}{0.400\ m})$

Amplitude $A=0.750\ (m)$

Period $T=2.5\ s$

Frequency $\nu=1/T=1/2.5=0.4\ (Hz)$

Wavelength $\lambda=0.400\ (m)$

Speed of propagation $v=\lambda/v=0.4/0.4=1\ (m/s)$

The wave traveling in the $+x$ direction