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.

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.

2. 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

Pressure and Torque