Two waves are generated on a string of length 3.0 m to produce a three-loop standing wave with an amplitude of 1.0 cm. the wave speed is 100 m/s. let the equation for one of the waves be of the form y(x, t) # ym sin(kx " vt). in the equation for the other wave, what are (a) ym, (b) k, (c) v, and (d) the sign in front of v?

Part a)

Part b)

Part c)

v = 100 m/s

Part d)

since wave is moving in +x direction

so here the sign must be negative

so complete wave equation is

Explanation:

As we know that the wave equation is given as

here we know that

= maximum displacement of the particle

Part a)

maximum displacement = amplitude

so here we know that

Part b)

k =

here we know that length of the string is 3 m

it consist of 3 loops

so we will have

so we have

Part c)

v = wave speed

v = 100 m/s

Part d)

since wave is moving in +x direction

so here the sign must be negative

so complete wave equation is

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