Answer to Question #296395 in Physics for Yusuf

Question #296395

The wave length of a travelling wave is 5m at a frequency of 12Hz and has an amplitude of 15m, write down the equation of wave

1
Expert's answer
2022-02-11T08:48:47-0500

Given:

λ=5m\lambda=5\:\rm m

f=12Hzf=12\:\rm Hz

A=15mA=15\:\rm m


 The equation of wave is given by

y(x,t)=Asin(2πλx2πft)y(x,t)=A\sin\left(\frac{2\pi}{\lambda}x-2\pi f t\right)

y(x,t)=(15m)sin(2π5x2π12t)y(x,t)=(15\:{\rm m})\sin\left(\frac{2\pi}{5}x-2\pi *12 t\right)

y(x,t)=(15m)sin(0.4πx24πt)y(x,t)=(15\:{\rm m})\sin\left(0.4\pi x-24\pi t\right)


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