Answer
(a) $f = 19.7~Hz$
(b) $\lambda = 2.33~m$
(c) $v = 45.9~m/s$
Work Step by Step
We can write the general equation for a wave traveling in the positive x-direction.
$D(x,t) = A~sin(kx-\omega t)$
(a) We can find the frequency as:
$f = \frac{\omega}{2\pi}$
$f = \frac{124}{2\pi}$
$f = 19.7~Hz$
(b) We can find the wavelength as:
$k = \frac{2\pi}{\lambda}$
$\lambda = \frac{2\pi}{k}$
$\lambda = \frac{2\pi~rad}{2.7~rad/m}$
$\lambda = 2.33~m$
(c) We can find the wave speed as:
$v = \lambda~f$
$v = (2.33~m)(19.7~Hz)$
$v = 45.9~m/s$
