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aam11
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How do you calculate the period of a physical pendulum?
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Period Calculation for Physical Pendulum
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SUMMARY
The period of a physical pendulum can be calculated using the formula T = 2π√(I/mgL), where I represents the moment of inertia, m is the mass, g is the acceleration due to gravity, and L is the distance from the pivot to the center of mass. The moment of inertia for a solid disk is given by I = mr²/2. This calculation is valid under the assumption that the angle θ is small, allowing for simplifications in the trigonometric functions involved.
PREREQUISITES- Understanding of basic physics concepts, particularly rotational motion.
- Familiarity with the formula for moment of inertia.
- Knowledge of gravitational acceleration (g = 9.81 m/s²).
- Basic trigonometry, especially in relation to small angle approximations.
- Study the derivation of the physical pendulum period formula in detail.
- Explore different shapes and their respective moment of inertia calculations.
- Learn about the effects of damping on pendulum motion.
- Investigate the relationship between pendulum length and period in various contexts.
Physics students, educators, and engineers interested in dynamics and oscillatory motion will benefit from this discussion.
- #2
physixguru
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Hint:
Calculate moment of inertia.The mass is known.'g' is of course known.
where I is the moment of inertia; in this case I = mr^2/2. When θ is small,
and therefore the expression becomes
Calculate moment of inertia.The mass is known.'g' is of course known.
where I is the moment of inertia; in this case I = mr^2/2. When θ is small,
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