Can i get help with this question A simple pendulum has a length of 46.8 cm, and after released at an angle of 25.0degrees, passes through the equilibrium 4 times in 6.4 sec. What is the accelerationdue to gravity at this place?

Answered: A simple pendulum has a length of 46.8…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 37P

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Can i get help with this question

A simple pendulum has a length of 46.8 cm, and after released at an angle of 25.0
degrees, passes through the equilibrium 4 times in 6.4 sec. What is the acceleration
due to gravity at this place?

Expert Solution

Step 1

$T i m e p e r i o d = T 1.75 T = 6.4 s e c T = 3.65 s e c L e n g t h = 46.8 c m = 0.468 m U \sin g f o r m u l a f o r t i m e p e r i o d o f p e n d u l u m T = 2 π \sqrt{\frac{L}{g}}$

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