What Is a Force, Pressure, and Torque Converter?

A Force, Pressure, and Torque Converter is an engineering and physics tool that changes measurements from one unit system to another. Force describes a push or pull. Pressure describes force distributed over an area. Torque describes the turning effect of force around a pivot. These three quantities are related, but they are not the same thing.

This converter is useful for students, teachers, mechanics, engineers, technicians, DIY users, machine designers, automotive learners, HVAC learners, hydraulics learners, physics students, and anyone who works with unit conversions such as newtons to pound-force, pascal to psi, bar to kPa, N·m to ft·lb, kgf·cm to N·m, or psi to kPa.

The SI unit of force is the newton, the SI unit of pressure is the pascal, and torque is commonly expressed in newton metres. The pascal is defined as one newton per square metre. :contentReference[oaicite:1]{index=1}

Core Physics Formulas

Force is commonly introduced through Newton’s second law:

\[ F=ma \]

Here, \(F\) is force, \(m\) is mass, and \(a\) is acceleration. In SI units:

\[ 1N=1kg\cdot m/s^2 \]

Pressure is force per unit area:

\[ P=\frac{F}{A} \]

Here, \(P\) is pressure, \(F\) is force, and \(A\) is area. Since pressure is force divided by area:

\[ 1Pa=1N/m^2 \]

Torque is the rotational effect of force:

\[ \tau=Fr\sin\theta \]

Here, \(\tau\) is torque, \(F\) is force, \(r\) is the lever arm distance, and \(\theta\) is the angle between the force direction and the lever arm.

Force Units Explained

Force measures interaction. A force can accelerate an object, deform it, hold it in place, or change its direction of motion. The newton is the coherent SI force unit. A force of one newton gives a one-kilogram mass an acceleration of one metre per second squared.

Pressure Units Explained

Pressure measures how much force acts over a given area. The same force can create high pressure on a small area and low pressure on a large area. This is why sharp objects cut more easily, snowshoes spread body weight over a larger area, and hydraulic systems use pressure to transmit force.

The pascal is a small unit, so kilopascals and megapascals are common in engineering. PSI is common in tires, compressors, plumbing, and many US customary contexts. Bar is common in meteorology, pressure gauges, hydraulics, and industrial systems. Atmosphere and torr are common in chemistry, physics, and vacuum measurements.

Torque Units Explained

Torque measures turning effect. If you push on a door near the hinge, it is difficult to rotate. If you push at the handle, the same force creates more torque because the lever arm is longer. This is the reason wrenches, breaker bars, pedals, and handles use distance from a pivot to multiply turning effect.

Torque is calculated with:

\[ \tau=Fr\sin\theta \]

If the force is perpendicular to the lever arm, \(\theta=90^\circ\), and \(\sin90^\circ=1\), so:

\[ \tau=Fr \]

Force vs Mass vs Weight

Mass and force are often confused. Mass measures the amount of matter in an object and is measured in kilograms in SI. Weight is a force caused by gravity. In science and technology, weight is treated as force and uses the newton. NIST also notes this distinction: weight in science and technology is a force, while everyday usage often treats weight as a synonym for mass. :contentReference[oaicite:2]{index=2}

The relationship between mass and weight near Earth’s surface is:

\[ W=mg \]

where \(W\) is weight, \(m\) is mass, and \(g\approx9.80665m/s^2\) is standard gravity. That is why \(1kgf=9.80665N\). A kilogram-force is the force exerted by standard gravity on a one-kilogram mass.

Pressure from Force and Area

Pressure is produced when a force acts over an area. The formula is:

\[ P=\frac{F}{A} \]

Example: if \(1000N\) acts over \(0.5m^2\), then:

\[ P=\frac{1000}{0.5}=2000Pa \]

If the same force acts over \(0.05m^2\), pressure becomes:

\[ P=\frac{1000}{0.05}=20000Pa \]

The force is the same, but pressure increases because the area is smaller.

Force from Pressure and Area

You can rearrange the pressure formula:

\[ F=PA \]

This is common in hydraulics and pneumatics. If pressure is known and piston area is known, the force can be estimated. For example:

\[ F=200000Pa\times0.01m^2=2000N \]

Torque from Force and Lever Arm

Torque depends on force, distance from the pivot, and angle:

\[ \tau=Fr\sin\theta \]

If a \(50N\) force is applied at a \(0.25m\) lever arm at \(90^\circ\), then:

\[ \tau=50\times0.25\times\sin90^\circ=12.5N\cdot m \]

If the force is applied at only \(30^\circ\), then:

\[ \tau=50\times0.25\times\sin30^\circ=6.25N\cdot m \]

The same force produces less torque because less of the force acts perpendicular to the lever arm.

Common Conversion Examples

Convert \(100N\) to pound-force

Since:

\[ 1lbf=4.4482216152605N \]

Then:

\[ 100N\div4.4482216152605=22.4809lbf \]

Convert \(1bar\) to psi

Since:

\[ 1bar=100000Pa \]

\[ 1psi=6894.757293168Pa \]

Then:

\[ 1bar=\frac{100000}{6894.757293168}\approx14.5038psi \]

Convert \(100N\cdot m\) to ft·lb

Since:

\[ 1ft\cdot lbf=1.3558179483314N\cdot m \]

Then:

\[ 100N\cdot m\div1.3558179483314\approx73.7562ft\cdot lbf \]

How to Use This Converter

1. Select Force, Pressure, Torque, or one of the formula calculators.
2. Enter the input value.
3. Choose the input and output units.
4. Click calculate.
5. Review the main result, quick cards, conversion table, and formula steps.
6. Use the copy button to paste the result into notes, reports, homework, or engineering calculations.

Practical Uses

Why This Page Does Not Include Exam Score Tables

Force, pressure, and torque conversion is a physics and engineering unit-conversion topic, not an exam score calculator. Score guidelines, score tables, and next exam timetables do not apply directly to this page. The equivalent high-value material is correct SI definitions, unit conversion tables, formulas, worked examples, safety notes, SVG diagrams, and practical use cases.

Suggested internal links: pressure converter, torque converter, force converter, stress calculator, work calculator, power converter, energy converter, and physics calculators.