Question

A transverse wave is described by y(x,t) = 0.0065sin(3.57x – 27.7t + π/4) (Units are standard units.) Determine:
a.) Amplitude
b.) Wavelength
c.) Frequency
d.) Period
e.) Speed of propagation
f.) Direction of travel
g.) Phase Constant
h.) The y-position of a point at x = 1.50m and t = 0.12 s. (remember radians!)

Answer 1

A transverse wave is normally given in the form:
\[y(x,t)=Asin(kx-\omega t +\phi)\], where
- A = amplitude
- k = wavenumber
- \(\omega\) = angular frequency
- \(\phi\) = phase shift.

Answer 2

\[A = 0.0065\]\[\kappa = 3.57\]\[\omega = 27.7\]\[\phi = \pi/4\]

Answer 3

the frequency is f = 2w
The period is T=1/f

Answer 4

wave length is 2pi/k