Instantaneous angle (in radian) between string of a simple pendulum and vertical is given by θ = 180 π sin 2 π t . Find the length of the pendulum (in m ) if g = π 2 m / s 2 .

Comparing θ = 180 π sin 2 π t with SHM, ω = 2 π . l g = 2 π ⇒ l = 4 π 2 g = 4 π 2 π 2 = 0.25 m

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PhysicsSHMMiscellaneousMedium2 minQB

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Instantaneous angle (in radian) between string of a simple pendulum and vertical is given by $θ = \frac{π}{180} sin 2 π t$ . Find the length of the pendulum (in m ) if $g = π^{2} m / s^{2}$ .

Answer:

0.25

Solution:

Comparing $θ = \frac{π}{180} sin 2 π t$ with SHM, $ω = 2 π$ .

$\frac{g}{l} = 2 π \Rightarrow l = \frac{g}{4 π ^{2}} = \frac{π ^{2}}{4 π ^{2}} = 0.25 m$

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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