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Ch 14: Periodic Motion
Young & Freedman Calc - University Physics 14th Edition
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610당신이 사용하는 게 아니라요?교과서 변경
14장, 문제 45a

You pull a simple pendulum 0.240 m long to the side through an angle of 3.50° and release it. How much time does it take the pendulum bob to reach its highest speed?

검증된 단계별 안내
1
Understand that the pendulum's motion can be approximated as simple harmonic motion for small angles. The angle given, 3.50°, is small enough to use this approximation.
The period of a simple pendulum is given by the formula: T=2πlg, where l is the length of the pendulum and g is the acceleration due to gravity (approximately 9.81 m/s²).
Calculate the period T using the given length of the pendulum, l=0.240 m.
The pendulum reaches its highest speed at the lowest point of its swing, which is halfway through its period. Therefore, the time to reach the highest speed is half of the period: T2.
Substitute the calculated period into the expression for half the period to find the time it takes for the pendulum bob to reach its highest speed.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
4m
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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Simple Harmonic Motion

Simple harmonic motion (SHM) describes the oscillatory motion of systems like pendulums, where the restoring force is proportional to the displacement. In a simple pendulum, the motion is approximately SHM for small angles, allowing us to use formulas for period and frequency to analyze its motion.
추천 영상:
07:52
Simple Harmonic Motion of Pendulums

Pendulum Period

The period of a simple pendulum, which is the time for one complete oscillation, depends on its length and the acceleration due to gravity. It is given by the formula T = 2π√(L/g), where L is the pendulum length and g is the gravitational acceleration. This formula helps determine the timing of various points in the pendulum's swing.
추천 영상:
06:28
Satellite Period

Kinetic and Potential Energy in Pendulums

In a pendulum, energy oscillates between kinetic and potential forms. At the highest point, energy is all potential, while at the lowest point, it is all kinetic. The pendulum reaches its highest speed at the lowest point, where potential energy is minimal and kinetic energy is maximal.
추천 영상:
06:53
Energy in Pendulums
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