The displacement of a wave is $y = 0.01\sin(2\pi t - \pi x)$ m. Find the wavelength, frequency, and wave speed.
The displacement of a wave is $y = 0.01\sin(2\pi t - \pi x)$ m. Find the wavelength, frequency, and wave speed.
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2mo ago
▲ 39
Comparing with $y = A\sin(\omega t - kx)$:
$$\omega = 2\pi \Rightarrow f = 1 Hz$$
$$k = \pi \Rightarrow \lambda = \frac{2\pi}{k} = 2 m$$
$$v = f\lambda = 1 \times 2 = 2 m/s$$
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Discussion (4)
RJ
Brilliant explanation, the substitution step is what I kept missing.
A
Brilliant explanation, the substitution step is what I kept missing.
MT
Clean and to the point. Bookmarking this for revision.
C
I solved it a slightly different way and got the same answer, good sign.