# Pressure to Torque Calculator, Formula, Pressure to Torque Calculation

## Pressure to Torque Calculator:

Enter the values of pressure P(Pa) Pascal, area A(m2) in metre per square, over which the pressure is applied and radius r(m) in metre, from the center of pressure application to the pivot point.

 Enter Pressure: Pa Enter Area: m2 Enter Radius: m Result – Torque : N.m

## Pressure to Torque Formula:

The pressure to torque conversion is a calculation used to determine the torque generated by a given pressure applied over a certain area, with the force of the pressure acting at a distance (radius) from a pivot point.

The torque, T(N.m) in Newton metres is calculated by multiplying the pressure P(Pa) in Pascals, the area A(m2) in square metres over which the pressure is applied, and the radius r(m) in metres from the center of pressure application to the pivot point.

T(N.m) = P(Pa) * A(m2) * r(m)

T(N.m) = torque in Newton metres, N.m.

P(Pa) = pressure in Pascal, Pa.

A(m2) = area in metre per square, m2.

r(m) = radius in metre, m.

### Pressure to Torque Calculation:

1. Suppose a hydraulic system applies a pressure of 2,000,000 Pa (2 MPa) over a piston with an area of 0.01 m² (10 cm²), and the force acts at a distance of 0.5 metres from the pivot point. Find the torque generated.

Given: P(Pa) = 2,000,000Pa, A(m2) = 0.01m2, r(m) = 0.5m.

T(N.m) = P(Pa) * A(m2) * r(m)

T(N.m) = 2,000,000 * 0.01 * 0.5

T(N.m) = 10,000N.m.

1. A pneumatic cylinder results a torque of 500N.m across a piston with an area of 0.005 m² (5 cm²), and the force is applied at a 0.2 metres radius from the pivot. Calculate the pressure applied.

Given: T(N.m) = 500N.m, A(m2) = 0.005m2, r(m) = 0.2m.

T(N.m) = P(Pa) * A(m2) * r(m)

P(Pa) =  T(N.m) / A(m2) * r(m)

P(Pa) = 500 / 0.005 * 0.2

P(Pa) = 500,000Pa