Acceleration Due to Gravity Calculator

Calculate Acceleration Due to Gravity (g)

Enter the mass in kilograms (e.g., 5.972 x 1024 kg for Earth).
Enter the radius in meters (e.g., 6.371 x 106 m for Earth).

Result:

The Acceleration Due to Gravity (g) is:

Use our Acceleration Due to Gravity Calculator to determine the gravitational acceleration (g) for any planet or celestial body. Simply input its mass and radius to calculate the force of free fall, crucial for understanding how objects behave in its gravitational field. This tool simplifies complex physics for students and enthusiasts alike.

Formula:

Formula for Acceleration Due to Gravity

The acceleration due to gravity (g) is calculated using the following formula:

g = G × M / r2

  • g = Acceleration due to Gravity (measured in m/s2)
  • G = Universal Gravitational Constant (approximately 6.67430 × 10-11 N·m2/kg2)
  • M = Mass of the celestial body or planet (measured in kilograms, kg)
  • r = Radius of the celestial body or planet (measured in meters, m)

This formula highlights how gravity depends on the mass of the body and the inverse square of the distance from its center.

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