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1. The problem statement, all variables and given/known data

A transverse wave on a taut wire has amplitude of 0.200mm and a frequency of 500Hz. It travels with a speed of 196m/s.

a) write an equation in SI units of the form [tex]y(x,t)= Asin( \omega t- kx) [/tex] for this wave

b)The linear mass density of this wire is 4.10g/m Find the Tension in the wire

c) what are the transverse velocity and the acceleration of the wave when x= 19.7m and t= 0.101s

2. Relevant equations

F= -kx

[tex] v= \omega/ k [/tex] ==> teacher gave me this equation but I can't find it in the book...is it valid?

[tex] f= 1/T= \omega/ 2 \pi [/tex]

3. The attempt at a solution

a)

[tex] f= 1/T= \omega/ 2 \pi [/tex]

[tex]T= 0.002s[/tex]

[tex] v= \omega/ k [/tex]

[tex]2 \pi (500Hz)= \omega [/tex]

[tex] \omega= 3151.59rad/s [/tex]

[tex]k= \omega / v [/tex]

[tex]3141.59rad/s / 196m/s= 16.02[/tex] => I'm not sure it's suppsosed to be that large

I guess I'd just plug in the numbers but I'm not sure if the way I got the numbers is correct.

b) I don't know how to find this

c) I think I would just differentiate the original equaiton with the numbers included and then just plug in the values given and find the numbers.

I have a question though.

Is the transverse velocity always found through the the differential equation?

Thank you very much

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# Homework Help: Wave on a wire

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