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xxTIMURxx [149]
3 years ago
10

The equation y = 5 Sin (3x - 4t), where

Physics
1 answer:
igomit [66]3 years ago
4 0

Answer:

Frequency, f = 0.63 Hz

Period, T = 1.58 s

Speed of a wave, v = 1.34 m/s

Explanation:

The equation of a wave is given by :

y = 5 \sin (3x - 4t) ...(1)

y is in mm

x is in meters

t is in seconds

The general equation of a wave is given by :

y=A\sin(kx-\omega t) ...(2)

(i) Compare equation (1) and (2) we get :

k=3\\\\\omega=4

Since,

\omega=2\pi f\\\\f=\dfrac{\omega}{2\pi}\\\\f=\dfrac{4}{2\pi}\\\\f=0.63\ Hz

(ii) Period of wave is :

T=\dfrac{1}{f}\\\\T=\dfrac{1}{0.63}\\\\T=1.58\ s

(iii) Speed of a wave,

v=\dfrac{\omega}{k}\\\\v=\dfrac{4}{3}\\\\v=1.34\ m/s

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