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sinusoidal wave

Tags
phys/wave
cegep/3
Word count
202 words
Reading time
2 minutes

Wave that looks like a sinusoidal function
Every particle oscillates in SHM

y(x,t)=Asin(kx±ωt+ϕ0)λ=vTk=2πλϕ=kx±ωt+ϕ0

ωt is negative for a wave travelling in the positive x direction, positive for a wave travelling in the negative x direction.

Snapshot: t is fixed
History graph: x is fixed

Examples

Find the wave function for this wave.

T=0.6sA=0.06mλ=vT=1.2mk=2πλ5.2360radmω=2πT10.4720radsy(0,0)=0.03=0.06sin(ϕ0)ϕ0=0.5236rady(x,t)=0.06sin(5.2360x+10.4720t0.5236)

A stretched string has a linear density of 5.0 g/cm and a tension of 200.0 N. A sinusoidal wave on this string is travelling in the negative direction of the x-axis with an amplitude of 2 m and a frequency of 5 Hz. When writing the displacement with a sine function, the phase constant is π4 rad.
Write the wave function for this wave.

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