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MECHANICAL WAVES - Coggle Diagram
MECHANICAL WAVES
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ENERGY IN WAVE MOTION
When a point in string moves in y-direction, F does work on this point and transfers energy into the part to the right of it
P ( x,t ) = F y ( x,t ) v y ( x,t )
= - F ( ∂y ( x,t ) / ∂x ) ( ∂y ( x,t ) / ∂t )
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P ( x,t ) = √ (μF) ω^2 A^2 sin^2 (kx-ωt)
Max instantaneous value : P ( x,t ) = √ (μF) ω^2 A^2
Ave power, P ave = 1/2 √ (μF) ω^2 A^2
Wave intensity, I = P / (4πr^2)
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NORMAL MODES ON STRING
when plucked
standing wave, L = nλ / 2 ( n = 1,2,3,...)
standing wave freq
f n = n v / 2L = nf1 ( n = 1,2,3,...)
DEFINITION
A disturbance that travels through some material or medium. As it travels, the particles of the medium undergo displacement of various kinds depending on the nature of the wave
eg : ripples on ponds, musical sounds, seismic tremors
