Pendulum Force Calculator

Formula

The formula to calculate the Pendulum Force is:

\[ F = m \cdot g \cdot \sin(a) \]

Where:

\(F\) is the Pendulum Force (N)
\(m\) is the mass of the pendulum (kg)
\(g\) is the acceleration due to gravity (9.81 m/s^2)
\(a\) is the angle of the pendulum relative to vertical (degrees)

What is Pendulum Force?

Pendulum force is the gravitational force acting upon a pendulum as it swings. The pendulum’s mass is acted upon by gravity, and in turn, the pendulum transmits that force to the point where it meets its anchor, called the fulcrum. The force of gravity supplies the energy that causes a pendulum to move.

Example Calculation

Let's assume the following values:

Mass of the Pendulum (m) = 10 kg
Angle Relative to Vertical (a) = 30 degrees

Using the formula:

\[ F = 10 \cdot 9.81 \cdot \sin(30^\circ) = 10 \cdot 9.81 \cdot 0.5 = 49.05 \text{ N} \]

The Pendulum Force (F) is 49.05 N.