How Do You Calculate Wave Parameters for a Transverse Sinusoidal Wave?

[Qudos]

Homework Statement

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,y_{m},k,ω, and \phi in the wave formula

Homework Equations

y(x, t) = y_{m} sin(kx ± ωt + \phi)

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 u_m=ωy_m
for the max transverse speed and solved for ω, which i put into the formula
f=\frac{ω}{2\pi} which gave me 0.00367s^-1, and solving for wavelength using λ=\frac{v}{f} 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.

 

[Spinnor]

You wrote,

u_m=ωy_m (why can't I copy and paste your formulas intact? Oh well)

Did you mix units, the displacement was given in cm and the velocity in m/s ? We want everything in cm or m.

 

[Qudos]

Yes i converted 4.2cm to 0.042m, then divided 18m/s by 0.042m to get a very large ω value of 428.6

 

[Qudos]

Ok, i calculated again and i think i switched the denominator with the numerator in something. Seems to be more reasonable now.
Thanks