Tidal Force Calculator
Our oceanography & coastal science calculator computes tidal force accurately. Enter measurements for results with formulas and error analysis.
Reviewed by Daniel Agrici, Founder & Lead Developer
Formula
F_tidal = 2GMmr / d³
Tidal force is the differential gravitational force across an extended body. G = 6.674×10⁻¹¹ N⋅m²/kg². It varies with the cube of distance.
Worked Examples
Example 1: Moon on Earth
Problem:Earth-Moon system
Solution:F = 2×6.674e-11×5.97e24×7.34e22×6.37e6 / (3.84e8)³ ≈ 4.4×10¹⁸ N
Result:~4.4×10¹⁸ N
Frequently Asked Questions
How do tides work and what causes tidal patterns?
Tides are caused by gravitational pull of the moon (primary) and sun on Earth's oceans. Most coastlines experience two high and two low tides per day (semidiurnal). Spring tides (highest range) occur during full and new moons when sun and moon align. Neap tides (lowest range) occur during quarter moons.
Reviewed by Daniel Agrici, Founder & Lead Developer · Editorial policy