[itex][/itex](adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 80 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.2 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 18 m/s.

It asks to solve for f,λ,[itex]y_{m}[/itex],k,ω, and [itex]\phi[/itex] in the wave formula

2. Relevant equations

y(x, t) = [itex]y_{m}[/itex] sin(kx ± ωt + [itex]\phi[/itex])

3. The attempt at a solution

Since it says at t and x = 0 the displacement is 4.2cm and stopped moving i assumed that meant that it had reached its max displacement. I then used [itex]u_m=ωy_m[/itex]

for the max transverse speed and solved for ω, which i put into the formula

f=[itex]\frac{ω}{2\pi}[/itex] which gave me [itex]0.00367s^-1[/itex], and solving for wavelength using [itex]λ=\frac{v}{f}[/itex] gave me 21827m which doesn't seem right, i'm pretty sure i'm doing something wrong, any help would be appreciated.

thanks

Oh and btw i converted all the cm to m before calculating.

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# Transverse wave question

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