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Pendulum Formula:
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The pendulum gravity equation calculates the acceleration due to gravity (g) using the length of a pendulum and its oscillation period. This method provides a simple yet accurate way to measure gravitational acceleration in physics experiments.
The calculator uses the pendulum formula:
Where:
Explanation: The formula derives from the simple harmonic motion of a pendulum, where the period depends on both the length of the pendulum and the local gravitational acceleration.
Details: Accurate gravity measurement is essential for physics experiments, geophysical surveys, and understanding variations in Earth's gravitational field. The pendulum method offers a practical laboratory approach to determine local gravitational acceleration.
Tips: Enter the pendulum length in meters and the period in seconds. Ensure both values are positive and measured accurately for reliable results. The period should be measured for one complete oscillation.
Q1: What is the standard value of g on Earth?
A: The standard value is approximately 9.80665 m/s², but it varies slightly with latitude, altitude, and local geology.
Q2: How accurate is the pendulum method?
A: With careful measurement, the pendulum method can achieve accuracy within 0.1-0.5% of the true gravitational acceleration.
Q3: What factors affect pendulum accuracy?
A: Air resistance, amplitude of swing, string mass, pivot friction, and temperature effects can all influence accuracy.
Q4: Can this be used for educational purposes?
A: Yes, this is an excellent method for physics education, allowing students to experimentally determine gravitational acceleration.
Q5: What are typical values for L and T in experiments?
A: Common pendulum lengths range from 0.5 to 2 meters, with periods typically between 1.4 to 2.8 seconds for accurate measurements.