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Question
A particle performing Linear S.H.M. has a maximum velocity 25 cm/sand maximum acceleration 100 cm/s2. Find the period of oscillations.
Solution
Given data,
Vmax = 25 cm/s
amax = 100 cm/s2
T = ?
Vmax = aω
amax = aω2
`"a"_"max"/"V"_"max" = ("a""w"^2)/("aw") = omega`
`omega = 100/25`
= 4 rad/s
T = `("2"pi)/"w"`
`= (2pi)/4 = pi/2`
T = `3.142/2`
= 1.571 s
∴ The period of oscillations is 1.57.
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