A wave is represented by the equation y = 7 s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The general equation of a travelling wave is given by $y = A \sin(\omega t - kx + \phi)$.Comparing the given equation $y = 7 \sin(7\pi t - 0.04\pi

Vedclass · Accepted Answer

$175 \, m/s$

Vedclass · Answer

(A) The general equation of a travelling wave is given by $y = A \sin(\omega t - kx + \phi)$.Comparing the given equation $y = 7 \sin(7\pi t - 0.04\pi x + \frac{\pi}{3})$ with the general equation,we identify the angular frequency $\omega = 7\pi \, rad/s$ and the wave number $k = 0.04\pi \, rad/m$.The speed of the wave $v$ is given by the ratio of the coefficient of $t$ to the coefficient of $x$ (ignoring the sign),which is $v = \frac{\omega}{k}$.Substituting the values: $v = \frac{7\pi}{0.04\pi} = \frac{7}{0.04} = \frac{700}{4} = 175 \, m/s$.

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

Similar Questions

$A$ transverse wave is represented by the equation $y = y_0 \sin \frac{2\pi}{\lambda} (vt - x)$. For what value of $\lambda$ is the maximum particle velocity equal to two times the wave velocity?

Define wave speed.

The equation of a wave is $y = 60 \sin (1200 t - 6 x)$,where '$y$' is in micron,'$t$' is in second,and '$x$' is in metre. The ratio of the maximum particle velocity to the wave velocity of wave propagation is:

What is the ratio of the amplitudes of the waves $y_1 = 10 \sin(3\pi t + \frac{\pi}{3})$ and $y_2 = 5[\sin 3\pi t + \sqrt{3} \cos 3\pi t]$?

Which of the following equations represents a wave?

Vedclass Test Series

Exam Paper Generator

Online Exam Module