## College Physics (4th Edition)

(a) The amplitude is $4.0~mm$ (b) The wavelength is $1.05~m$ (c) The period is $0.0105~s$ (d) The wave speed is $100~m/s$ (e) The wave travels in the positive x-direction.
(a) In general: $y(x,t) = A~sin(\omega~t-k~x)$ We can see from the equation that $A = 4.0~mm$ The amplitude is $4.0~mm$ (b) We can find the wavelength: $\lambda = \frac{2\pi}{k}$ $\lambda = \frac{2\pi}{6.0~rad/m}$ $\lambda = 1.05~m$ The wavelength is $1.05~m$ (c) We can find the period: $T = \frac{2\pi}{\omega}$ $T = \frac{2\pi}{6.0\times 10^2~rad/s}$ $T = 0.0105~s$ The period is $0.0105~s$ (d) We can find the wave speed: $v = \lambda~f$ $v = \lambda~\frac{\omega}{2\pi}$ $v = (1.05~m)~\frac{6.0\times 10^2~rad/s}{2\pi}$ $v = 100~m/s$ The wave speed is $100~m/s$ (e) From the term $(\omega~t-k~x)$, we can see that the wave travels in the positive x-direction.