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A transverse harmonic wave on a string i...

A transverse harmonic wave on a string is describe by `Y (x,t) = 3 sin (36 t + 0 . 0 18 x + (pi)/(4) )` . Where X and Y are in cm and t in sec . The positive direction of x is form left to right
what is its frequency ?

Text Solution

Verified by Experts

Given, Y (x,t) = 3 sin `(36 r + 0 . 018 x + (pi)/(4))`
It is comparable to the transverse harmonic wave equa-tion as
`Y(x,t) = A sin (omega t + kx + phi)`
Thus, A = 3 cm, `omega = 36 rad//s,k = 0 . 018 cm^(-1) and phi = (pi)/(4) red` .
Frequency, `n = (omega)/(2pi) = 5 . 73 ` Hz
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