# Gravitational Torque Calculator, Formula, Gravitational Torque Calculation

## Gravitational Torque Calculator:

Enter the values of mass of the object, m(kg), acceleration due to gravity, g(m/s2) and  radius, r(m) to determine the value of gravitational torque, Tg(N.m).

 Enter Mass of the Object: kg Enter Radius: m Result – Gravitational Torque : N.m

## Gravitational Torque Formula:

Gravitational torque is a measure of the rotational effect caused by gravity on an object that is not centered on its axis of rotation.

Gravitational torque, Tg(N.m) in Newton metres is calculated by the product of mass of the object, m(kg) in kilograms, acceleration due to gravity, g(m/s2) in metre per second squared and radius, r(m) in metre.

Gravitational torque, Tg(N.m) = m(kg) * g(m/s2) * r(m)

Tg(N.m) = gravitational torque in Newton metres, N.m.

m(kg) = mass of the object in kilograms, kg.

g(m/s2) = acceleration due to gravity in metre per second squared, m/s2. (approximately 9.81m/s2 on the surface of the Earth).

r(m) = radius in metre, m.

Gravitational torque Calculation:

1. Consider a playground seesaw with a child sitting 2 metres from the pivot point. If the child has a mass of 30kg, calculate the gravitational torque exerted by the child on the seesaw.
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Given: m(kg) = 30kg, g(m/s2) = 9.81m/s2, r(m) = 2m.

Gravitational torque, Tg(N.m) = m(kg) * g(m/s2) * r(m)

Tg(N.m) = 30 * 9.81 * 2

Tg(N.m) = 588.6N.m

1. A sign is mounted on a pole, where the center of mass of the sign is 0.5 metres from the pole. If the acquired gravitational torque on the pole is 73.575N.m. Determine the mass.

Given: Tg(N.m) = 73.575N.m, g(m/s2) = 9.81m/s2, r(m) = 0.5m.

Gravitational torque, Tg(N.m) = m(kg) * g(m/s2) * r(m)

m(kg) = Tg(N.m) / g(m/s2) * r(m)

m(kg) = 73.575 / 9.81 * 0.5

m(kg) = 15kg.