Tidal Force Calculator

Tidal Force Calculator

Calculate the tidal force using the equation:
\[ F_{\text{tidal}} \approx \frac{2GMmr}{R^3} \] where \(G\) is the gravitational constant.

* Enter masses in kg, distances in m, and radius in m.

Step 1: Enter Parameters

Example: 5.97×1024 kg (mass of Earth)

Example: 7.35×1022 kg (mass of Moon)

Example: 1.74×106 m (radius of Moon)

Example: 3.84×108 m (Earth-Moon distance)

Formula: \( F_{\text{tidal}} \approx \frac{2GMmr}{R^3} \)


Practical Example:
Using the Earth-Moon system with \( M = 5.97 \times 10^{24} \) kg, \( m = 7.35 \times 10^{22} \) kg, \( r = 1.74 \times 10^{6} \) m, and \( R = 3.84 \times 10^{8} \) m:
\[ F_{\text{tidal}} \approx \frac{2 \times 6.67430 \times 10^{-11} \times 5.97 \times 10^{24} \times 7.35 \times 10^{22} \times 1.74 \times 10^{6}}{(3.84 \times 10^{8})^3} \] This yields a tidal force on the order of \( \sim 6.0 \times 10^{16} \) N (the actual value depends on the exact parameters).