Question

A sinusoidal transverse wave traveling in the positive direction of an x-axis has amplitude of 2.0cm, a wavelength of 10c and a frequency of 400Hz. If the wave equation is of the form

Answer 1

As per the given question,

Amplitude(A)= 2cm

Wavelength $(\lambda)$ =10cm

Frequency (f)=400Hz

We know that general equation of wave

$y=A\sin(\omega t+\phi)$

$\Rightarrow \omega = 2\pi f=2\pi \times 400=800\pi$

Phase angle $\phi=0$

Now, substituting the values

$y=2 \sin(800\pi t+0)$

$\Rightarrow y= 2\sin (800 \pi t)$