Question

A wave on a string is described by the relation y = A sin(30t - 0.041x), where t is measured in seconds and x in meters, with A = 0.16 m.
(a)Find the frequency of the wave. ____Hz
(b)Find the wavelength of the wave. ___m
(c)Find the speed of the wave. ___m/s

Answer 1

y = A sin(30t - 0.041x)
y = -Asin(0.041x - 30t)
this is of the form y = A*sin(k*x - omega*t)

k = 0.041
omega = 30
where omega = 2*pi*f; 30 = 2*pi*f; where f is frequency; use this to solve for answer in a)

b) k = 2*pi / lambda, where lambda is wavelength;

c) the speed of the wave is omega/k = lambda*f