Easy Waves (1 Viewer)

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1. The problem statement, all variables and given/known data
string is under tension 400N. A 1m string has mass 5grams. what is the speed if the wavelength is 1m. What is the speed if the wavelength is .5m. What is the frequency?

2. Relevant equations
v = sqrt(Tension/(m/L))
v = f * wavelength

3. The attempt at a solution

a) v = sqrt(400N / (.005kg/1m) = 283m/s

b) im confused. whether to use the first or second equation?
v=sqrt(400N/.005kg/.5m) = 200m/s

c) f = v/wl = 200m/.5ms = 400Hz

is this correct?
Last edited:
just a push in the right direction would be highly appreciated
L is the entire length of the string. Why would the linear mass density, something that is inherent and doesn't change with the same string, be changing?
so for b) would it be 1m for both, or is the speed impossible to derive from that formula?
If [tex] V=\sqrt{\frac{T}{\mu}}[/tex]

What do you hypothesise if mu and T are always constant?

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