### Pendulum Period Calculation#### Question:What is the period of a pendulum if its string is 0.75 m long and the object at the end has a mass of 0.25 kg?#### Options:- ○ 1.0 s- ○ 1.7 s- ○ 3.0 s- ○ 3.6 s---### Explanation:The period \( T \) of a simple pendulum, which is independent of the mass of the bob, is given by:\[ T = 2\pi \sqrt{\frac{L}{g}} \]Where:- \( T \) is the period of the pendulum,- \( L \) is the length of the string (0.75 m in this case),- \( g \) is the acceleration due to gravity (approximately 9.81 m/s² on the surface of the Earth).Replacing the given values into the formula:\[ T = 2\pi \sqrt{\frac{0.75}{9.81}} \]#### Calculation:\[ \sqrt{\frac{0.75}{9.81}} \approx \sqrt{0.0765} \approx 0.2766 \]\[ T \approx 2\pi \times 0.2766 \approx 1.737 \text{ s} \]Hence, the period of the pendulum is approximately 1.7 seconds.### Answer:- ○ 1.7 s

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Description: ### Pendulum Period Calculation#### Question:What is the period of a pendulum if its string is 0.75 m long and the object at the end has a mass of 0.25 kg?#### Options:- ○ 1.0 s- ○ 1.7 s- ○ 3.0 s- ○ 3.6 s---### Explanation:The period \( T \) of a si

given , For a pendulum, length of the string , L = 0.75 m mass at the end , m = 0.25 kg Time…

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What is the period of a pendulum if its string is 0.75 m long and the object at the end has a mass of 0.25 kg? Your answer: 1.0 s 1.7 s 3.0 s O 3.6 s

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter16: Oscillatory Motion And Waves

Section: Chapter Questions

Problem 8CQ: Pendulum clocks are made to run at the correct rate by adjusting the pendulum's length. Suppose you...

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