# Easy Waves (1 Viewer)

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#### gillyr2

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:

#### gillyr2

just a push in the right direction would be highly appreciated

#### Snazzy

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?

#### gillyr2

so for b) would it be 1m for both, or is the speed impossible to derive from that formula?

#### Snazzy

If $$V=\sqrt{\frac{T}{\mu}}$$

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

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