HSC Science (General) 12th Board ExamMaharashtra State Board
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The Maximum Velocity of a Particle Performing Linear S.H.M. is 0.16 m/s. If Its Maximum Acceleration is 0.64 m/s^2, Calculate Its Period. - HSC Science (General) 12th Board Exam - Physics

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Question

The maximum velocity of a particle performing linear S.H.M. is 0.16 m/s. If its maximum acceleration is 0.64 m/s2, calculate its period.

Solution

vmax = 0.16 m/s, amax =0.64 m/s2

Period (T) = ?
vmax = Aω and amax = Aω2

`a_max/v_max=omega=(2pi)/T` 

`T=(2pixxv_max)/a_max`

`=(2xx3.14xx0.16)/0.64`

`= 1.571 s`
Period of particle is 1.571 s

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APPEARS IN

 2013-2014 (October) (with solutions)
Question 2.6 | 2.00 marks

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Solution The Maximum Velocity of a Particle Performing Linear S.H.M. is 0.16 m/s. If Its Maximum Acceleration is 0.64 m/s^2, Calculate Its Period. Concept: Differential Equation of Linear S.H.M..
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