Question

A wave is represented by the equation $y=7\sin (7\pi t-0.04x+\frac{\pi }{3})$ where $x$ is in meters and $t$ is in seconds. The speed of the waves is:-

• A. $\left(175\pi \right)m/s$
• B. $\left(49\pi \right)m/s$
• C. $\left(\frac{49}{\pi }\right)m/s$
• D. $\left(0.28\pi \right)m/s$

Answer 1

The correct option is A $\left(175\pi \right)m/s$

$\begin{array}{c}w=7\pi \\ k=0.04\\ v=\frac{w}{k}=\frac{7\pi \times 10}{4}\\ =175m/s\\ \therefore OptionAiscorrect.\end{array}$