1 Pascal to Newton – Full Calculation Guide

1 pascal equals 1 newton per square meter, so directly converting 1 pascal to newton requires knowing the area involved. Without area, 1 pascal alone is not equal to 1 newton.

Pascal is a pressure unit defined as force per unit area (N/m²). Newton is a unit of force. To convert pascal to newton, you need multiply the pressure value by the area over which the force acts. Therefore, 1 pascal applied on 1 square meter equals 1 newton.

Conversion Tool


Result in newton:

Conversion Formula

The conversion from pascal to newton depends on the relation between pressure and force. Pascal (Pa) is defined as one newton of force applied over an area of one square meter (N/m²). Therefore, the formula to get force in newtons is:

Force (N) = Pressure (Pa) × Area (m²)

This works because pressure describes how much force is applied per unit area. Without considering the area, the pascal value alone cannot be converted to newton directly.

Example:

  • If pressure is 1 Pa and area is 1 m², then force = 1 Pa × 1 m² = 1 N
  • If pressure is 5 Pa over 2 m², force = 5 × 2 = 10 N

Conversion Example

  • Convert 3 pascal over 2 square meters:
    • Multiply pressure by area: 3 Pa × 2 m² = 6 N
    • Result is 6 newton of force.
  • Convert 10 pascal over 0.5 square meters:
    • 10 Pa × 0.5 m² = 5 N
    • Force is 5 newtons.
  • Convert 0.25 pascal over 4 m²:
    • 0.25 Pa × 4 m² = 1 N
    • Force equals 1 newton.
  • Convert 7 pascal over 3 m²:
    • 7 × 3 = 21 N
    • The force is 21 newtons.

Conversion Chart

The table below shows force in newtons when pressure values from -24.0 to 26.0 pascal are applied over 1 square meter area. You can read the force directly in newton matching your pressure value:

Pascal (Pa) Newton (N)
-24.0 -24.0
-20.0 -20.0
-16.0 -16.0
-12.0 -12.0
-8.0 -8.0
-4.0 -4.0
0.0 0.0
4.0 4.0
8.0 8.0
12.0 12.0
16.0 16.0
20.0 20.0
24.0 24.0
26.0 26.0

Use this chart by matching your pressure value to find corresponding force in newtons when area is 1 m². Negative values indicate force in opposite direction.

Related Conversion Questions

  • How many newtons are in 1 pascal applied over 1 square meter?
  • What force does 1 pascal exert on a 0.5 square meter surface?
  • Can 1 pascal be converted to newtons without area value?
  • How to calculate newton from pascal for irregular areas?
  • Is 1 pascal always equal to 1 newton?
  • What equation is used to convert pascal to newtons?
  • Does pressure in pascal directly equal force in newtons?

Conversion Definitions

Pascal: The pascal is SI unit of pressure, measuring force applied per unit area. Defined as one newton per square meter (N/m²), it quantifies how much force presses on a surface area. Used in physics and engineering, it helps describe stresses, pressures in fluids and solids.

Newton: The newton is SI unit of force, representing the force needed to accelerate a one kilogram mass by one meter per second squared (kg·m/s²). It measures push or pull acting on an object, fundamental in mechanics and dynamics calculations.

Conversion FAQs

Why can’t 1 pascal be directly equal to 1 newton without area?

Pascal measures pressure, meaning force per square meter. Without knowing the area, the force can’t be computed. 1 pascal alone only tells the pressure applied but force depends on how big the surface is. So area is needed to convert pascal into newton.

How to convert pascal to newton for different surface sizes?

Simply multiply the pressure value in pascal by the surface area in square meters. For example, if pressure is 2 Pa and area is 3 m², force = 2 × 3 = 6 N. This formula works for any surface size, as force increases with area.

Does negative pascal value mean negative force?

Negative pressure values indicate tension or suction, which can produce force in opposite direction. So yes, negative pascal means the resulting force will be negative, pointing opposite to the assumed positive direction.

Can pressure units besides pascal be converted to newton?

Pressure units like bar or psi can be converted to pascal first, then using area, converted to newton. Direct conversion to force always needs area, regardless of pressure units used.

Is the conversion formula affected by temperature or other conditions?

The basic formula of force = pressure × area remains unaffected by temperature. However, changes in temperature may alter pressure or area physical properties, indirectly affecting the force measured.