Tidal Force Calculator

This calculator computes the tidal force exerted by a celestial body on an observer. It's useful for understanding ocean tides, gravitational effects, and other tidal phenomena.

Input Parameters

Calculation Results

Tidal Force (N)

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Calculation Formula

F_tidal = (G * M * m) / r³

Where:
F_tidal = Tidal Force
G = Gravitational Constant (6.67430 × 10⁻¹¹ N·(m/kg)²)
M = Mass of Celestial Body (kg)
m = Observer Mass (kg)
r = Distance from Observer (m)

Tidal Force Calculator Usage Guide

Learn how to use the Tidal Force Calculator and understand its working principles

How to Use the Calculator

  1. Enter the mass of the celestial body (e.g., Earth's mass is approximately 5.972 × 10²⁴ kg).
  2. Input the distance from the observer to the celestial body (e.g., Earth's radius is approximately 6.371 × 10⁶ m).
  3. Enter the mass of the observer (e.g., 70 kg for a 70 kg person).
  4. Click the "Calculate" button to compute the tidal force.
  5. View the result and formula explanation below.

Understanding Tidal Forces

Tidal forces are the differential gravitational forces exerted on different parts of an extended body, such as a planet or moon, by a nearby celestial body. They are responsible for ocean tides, the flexing of planetary bodies, and other tidal phenomena.

Example Calculation

For Earth's gravitational pull on a 70 kg person at Earth's radius:

  • Mass of Earth (M): 5.972 × 10²⁴ kg
  • Distance (r): 6.371 × 10⁶ m
  • Observer Mass (m): 70 kg
  • Gravitational Constant (G): 6.67430 × 10⁻¹¹ N·(m/kg)²

The tidal force would be calculated as:

F_tidal = (6.67430 × 10⁻¹¹ N·(m/kg)² × 5.972 × 10²⁴ kg × 70 kg) / (6.371 × 10⁶ m)³ ≈ 1.98 × 10²⁰ N