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Gravitational Constant Formula:
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The Gravitational Constant Formula calculates the universal gravitational constant G using gravitational acceleration, distance, and mass. It is derived from Newton's law of universal gravitation and provides a fundamental constant in physics.
The calculator uses the Gravitational Constant formula:
Where:
Explanation: The formula calculates the gravitational constant by relating gravitational acceleration to mass and distance squared.
Details: The gravitational constant is a fundamental physical constant that appears in Newton's law of universal gravitation and Einstein's theory of general relativity. Accurate calculation is essential for astrophysical calculations and understanding gravitational forces.
Tips: Enter gravitational acceleration in m/s², distance in meters, and mass in kilograms. All values must be positive numbers greater than zero.
Q1: What is the accepted value of the gravitational constant?
A: The currently accepted value is approximately 6.67430 × 10⁻¹¹ m³/kg s², though this calculator provides experimental calculation based on input values.
Q2: Why is the gravitational constant important?
A: It's a fundamental constant that determines the strength of the gravitational force between objects and is crucial for calculations in astronomy, physics, and engineering.
Q3: Can this formula be used for any two objects?
A: Yes, the formula applies to any two masses, though it's most accurate for spherical objects with known masses and distances.
Q4: What are the limitations of this calculation?
A: The calculation assumes point masses or spherical symmetry and may not account for relativistic effects at extremely high velocities or strong gravitational fields.
Q5: How precise are gravitational constant measurements?
A: Measuring G with high precision is challenging due to the weakness of gravitational forces. The relative uncertainty in G is among the largest of all fundamental constants.