- #1
aub
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Homework Statement
If a wave y(x,t) = 5mm sin(kx + (600rad/s)t + φ) travels along a string, how much time does any given point on the string take to move between displacements y = 2mm and y = -2mm
The Attempt at a Solution
we have
1. 2=5sin(kx + 600t1 + φ)
sin(kx + 600t + φ)=0.4
kx + 600t + φ = 0.4 (=0.4 or =23.5 because I am not sure which mode to use on the calculator, degrees or radians)
2. -2=5sin(kx + 600t2 + φ)
sin(kx + 600t + φ)=-0.4
kx + 600t + φ = -0.4 (=-0.4 or =-23.5 same reason)
Since its the same point moving up and down, we have the same kx and φ (ill use the 0.4 since both ways my answer is wrong)
0.4 - 600t1 = -0.4 - 600t2
600(t1-t2) = 0.8
Δt = 1.3 * 10-3s = 1.3ms
the answer is 1.1ms and its supposed to be one of the easiest problems because its the first problem of the chapter but i just can't do it and please tell me more about the calculator modes issue i talked about