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

The wavefunction of a transverse wave on a string is

[itex]\psi[/itex][itex]\left(x,t\right)[/itex]=[itex]\left(30.0 cm\right)[/itex]Cos[itex]\left[\left(6.28 rad/m\right)x - \left(20.0 rad/s\right)t\right][/itex]

Compute the (a) frequency, (b) wavelength, (c) period, (d) amplitude, (e) phase velocity, and (f) direction of motion

2. Relevant equations

1. v = w / k

2. T = 2[itex]\pi[/itex] / kv

3. f = 1 / T

4. [itex]\lambda[/itex] = v / f

3. The attempt at a solution

Question seems kind of trivial... I just want to double check if my understanding is right.

From the equation:

A = 30.0 cm

k = 6.28 rad/m

[itex]\omega[/itex] = 20.0 rad/s

e) Using equation (1), v = (20.0 rad/s) / (6.28 rad/m) = 3.18 m/s

c) Using equation (2), T = 2[itex]\pi[/itex] / (6.28 rad/m * 3.18 m/s) = 0.31 s/cycle

a) Using equation (3), f = 1 / (0.31 s/cycle) = 3.23 Hz

b) Using equation (4) [itex]\lambda[/itex] = (3.18 m/s) / (3.23 cycles/s) = 0.98 m

d) Amplitude is given = 30.0 cm

f) since [itex]\varphi[/itex]=(kx - [itex]\omega[/itex]t) is equivalent to the phase in the given function, the direction of motion is in the +x direction

P.S I know that there's more than one way to solve this

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Analyzing a Wave Function

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**