Y = 5 sin 2 π ( 100 t − 2 x ) , what is time period?

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PhysicsSHMCalculation of time periodMedium2 minPYQ_2018

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$Y = 5 sin \frac{π}{2} (100 t - 2 x)$ , what is time period?

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Solution:

Given that, $Y = 5 sin (50 π t - π x)$ ...(i) Equation of displacement, $Y = A sin (ω t - k x)$ ...(ii) After comparing with Eqs. (i) and (ii), $ω = 50 π$ $∵$ Time period, $T = \frac{2 π}{ω} = \frac{2 π}{50 π} = 0.04 s$

Stream:JIPMERSubject:PhysicsTopic:SHMSubtopic:Calculation of time period

⏱ 2mℹ️ Source: PYQ_2018

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