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3 years ago

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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3 years ago

g A ball thrown straight up into the air is found to be moving at 7.94 m/s after falling 2.72 m below its release point. Find th

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The ball has height y and velocity v at time t according to

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3 years ago

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3 years ago

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Answer:

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