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

The displacement from equilibrium caused by a wave on a string is given by

y(x, t) = (−0.00217 m)sin[(44.4 m−1)x − (728 s−1)t].

i need to find

(b) number of waves in 1 m

waves

(c) number of complete cycles in 1 s

cycles

(d) wavelength

(e) frequency

3. The attempt at a solution

i first thought the wavelenght was 44.4m because of the formula

Acos2pi(x/λ - t/T)

but then i realized that you had to use the other formula : Acos(kx - wt)

so k = 1/44.4m = 2pi / λ

so λ wave length is 278.97m ?? is this right?

then w = 2pif = 1/728s

so f = 2.186 * 10 ^-4 HZ

and with λ and f you can find the Velocity

not sure if i found λ and f right? can you please tell me if i did it right?

b) number of waves in 1 m

i'm guessing you find this by 1/λ

(c) number of complete cycles in 1 s

and you find this by doing 1/ T

i just want to make sure this is right. if the λ and f are right so i can get the rest of the answer

thank you!

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# Wave functions and dynamic question

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