Gravitational Torque Calculator

Formula

The formula to calculate the Gravitational Torque (Tgravity) is:

\[ Tgravity = m \cdot g \cdot r \]

Where:

\(Tgravity\) is the gravitational torque (N-m)
\(m\) is the mass (kg)
\(g\) is the acceleration due to gravity (m/s²)
\(r\) is the radius (meters)

What is Gravitational Torque?

Gravitational torque is the rotational force exerted by gravity on an object. It is calculated as the product of the object's mass, the acceleration due to gravity, and the distance from the pivot point or axis of rotation (radius). This metric is crucial in understanding the behavior of objects in rotational motion under the influence of gravity.

Example Calculation

Let's assume the following values:

Mass (m) = 10 kg
Acceleration due to Gravity (g) = 9.81 m/s²
Radius (r) = 2 meters

Using the formula to calculate the Gravitational Torque (Tgravity):

\[ Tgravity = m \cdot g \cdot r = 10 \cdot 9.81 \cdot 2 = 196.2 \text{ N-m} \]

The Gravitational Torque (Tgravity) is 196.2 N-m.