Question

Determine the frequency is Y =5 sin(628t-2x)

Answer 1

Answer:

f= 100 Hz

Explanation:

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Answer 2

Frequency of given motion is 100 Hz

Explanation:

• Simple harmonic motion is defined as the to and fro motion about any given mean position. In simple harmonic motion particle oscillate between mean and extreme position. At mean position displacement covered by the particle is zero and at any extreme position displacement covered by particle is maximum very well known example of simple harmonic motion is pendulum

Given, the displacement of particle y= 5 sin(628 t -2 x)  ................(1)

As we know the equation of simple harmonic motion of particle is given as

             y = y₀ sin (ωt - k x)             ........................(2)

where y = displacement of the particle

y₀ = maximum displacement

ω = angular frequency

k = wave number

t = time at any desired point

x = variation with x-axis

From equations (1) and (2) we get

=> ω = 628

=> 2πf = 628                          ( ω = 2π frequency)

=> f = $\frac{628}{2\pi }$

=> f = $\frac{628}{2\((3.14) }$

=> f = 100 Hz

To know more about simple harmonic motion, visit:

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