Pressure Torque Calculator

Calculate torque generated by pressure acting on a circular area, commonly used in hydraulic systems, pumps, and other mechanical applications.

Input Parameters

Calculation Results

Calculation Formula

Torque (τ) = P × A × r

Where:
τ = Torque (Nm)
P = Pressure (Pa)
A = Area (m²) = π × r²
r = Radius (m)

Pressure Torque Calculator Calculator Usage Guide

Learn how to use the Pressure Torque Calculator and its working principles

How to Use This Calculator

  1. Enter the pressure (P) in Pascals (Pa). This is the force per unit area applied to the surface.
  2. Enter the radius (r) of the circular area in meters (m). This is the distance from the center of the circle to its edge.
  3. Click the "Calculate" button to compute the torque.
  4. The result will be displayed in Newton-meters (Nm).

Working Principle

This calculator is based on the principle that when pressure is applied to a circular area, it creates a torque. The torque is calculated as the product of pressure, area, and radius. The area of the circle is determined using the formula A = π × r².

Applications

This calculator is useful in various engineering applications such as:

  • Designing hydraulic systems where pressure is applied to pistons or gears.
  • Calculating the torque generated by fluid pressure in pumps and turbines.
  • Understanding the mechanical advantage in pressurized systems.

Example

If a pressure of 500,000 Pa (0.5 MPa) is applied to a circular area with a radius of 0.1 meters, the torque generated would be:

τ = 500,000 Pa × (π × (0.1 m)²) × 0.1 m ≈ 1,570.8 Nm