The displacement of a particle in SHM is indicted by equation y-10sin20t-3 where y is in metres- The value of the maximum velocity of the particle will be-

The correct option is C 200 m/s Here, Y=Asin(ω t+ϕ) v_max=Aω Comparing, v_max=10× 20=200m/s Option C is the correct answer ...

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Standard XII

Physics

Velocity Displacement Relationship

The displacem...

Question

The displacement of a particle in SHM is indicted by equation $y = 10 s i n (20 t + \frac{π}{3})$ where y is in metres. The value of the maximum velocity of the particle will be?

100 m / s

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150 m / s

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200 m / s

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400 m / s

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Solution

The correct option is C $200 m / s$
Here,

$Y = A sin (ω t + ϕ)$

$v_{m a x} = A ω$

Comparing,

$v_{m a x} = 10 \times 20 = 200 m / s$

Option $C$ is the correct answer

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The displacement of a particle in SHM is indicted by equation y=10sin(20t+π3) where y is in metres. The value of the maximum velocity of the particle will be?

The correct option is C 200m/sHere,Y=Asin(ωt+ϕ)vmax=AωComparing,vmax=10×20=200m/sOption C is the correct answer

The displacement of a particle in SHM is indicted by equation $y = 10 s i n (20 t + \frac{π}{3})$ where y is in metres. The value of the maximum velocity of the particle will be?

The correct option is C $200 m / s$
Here,

$Y = A sin (ω t + ϕ)$

$v_{m a x} = A ω$

Comparing,

$v_{m a x} = 10 \times 20 = 200 m / s$

Option $C$ is the correct answer