Question

A wave is represented by the equation Y = 7 sin $\left( 7\pi t - 0.04\pi x\mspace{6mu} + \frac{\pi}{3} \right)$x is in meters and t is in seconds. The speed of the wave is

• A. 175 m/sec
• B. 49 $\pi$m/s
• C. $\frac{49}{\pi}m/s$
• D. 0.28 $\pi m/s$

Answer 1

Answer: (A)

175 m/sec

Answer 2

Standard equation y = A sin $\left( \omega t - kx + \varphi_{0} \right)$

In a given equation $\omega = 7\pi,k = 0.04\pi$

$v = \frac{\omega}{k} = \frac{7\pi}{.04\pi}$= 175 m/sec