Millimeter Water (4 °C) to Newton per Square Centimeter
mmH20
N/cm²
Conversion History
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Quick Reference Table (Millimeter Water (4 °C) to Newton per Square Centimeter)
| Millimeter Water (4 °C) (mmH20) | Newton per Square Centimeter (N/cm²) |
|---|---|
| 1 | 0.000980637999999999895876 |
| 10 | 0.009806379999999998958759 |
| 25 | 0.024515949999999997396896 |
| 100 | 0.098063799999999989587586 |
| 250 | 0.245159499999999973968964 |
| 1,000 | 0.980637999999999895875857 |
| 10,332 | 10.131951815999998924189356 |
About Millimeter Water (4 °C) (mmH20)
The millimeter of water at 4 °C (mmH₂O) is the pressure exerted by a 1 mm column of pure water at its maximum density, equal to approximately 9.807 pascals. It is used for very low pressure measurements where even pascals give large numbers: HVAC duct static pressures, spirometry and respiratory mechanics, building ventilation system balancing, and manometer readings in laboratory work. The 4 °C reference ensures maximum water density and measurement reproducibility.
HVAC supply duct static pressures typically range from 25 to 250 mmH₂O. A forced exhalation against resistance generates roughly 10–50 mmH₂O.
About Newton per Square Centimeter (N/cm²)
The newton per square centimeter (N/cm²) equals exactly 10,000 pascals. It is used in materials testing and mechanical engineering for compressive stress, tensile strength, and contact pressures at scales where pascals produce unwieldy six-digit values but megapascals are too coarse. Machine tool specifications, polymer yield strengths, and some hydraulic standards cite pressures in N/cm². One N/cm² is approximately one-tenth of standard atmospheric pressure.
The compressive strength of ordinary concrete is roughly 2–5 N/cm². A car tire contact patch experiences about 1.5–3 N/cm² of ground pressure.
Millimeter Water (4 °C) – Frequently Asked Questions
Why is HVAC duct pressure measured in millimeters of water instead of pascals?
HVAC technicians originally measured duct pressure with a simple U-tube manometer filled with water — you literally read the height difference in millimeters. One mmH₂O ≈ 9.81 Pa, so a typical 25–250 mmH₂O duct pressure range corresponds to 245–2,450 Pa. The water column scale is still used because the instruments are cheap, intuitive, and field-rugged, even though digital gauges now display the same numbers electronically.
What does the "at 4 °C" part of the unit mean?
Water reaches maximum density at 3.98 °C (roughly 4 °C), where one cubic centimeter weighs exactly 1 gram. Specifying 4 °C ensures the pressure per millimeter of column height is reproducible and standardized. At 20 °C, water is about 0.2% less dense, introducing a tiny error. For most HVAC and lab work the difference is negligible, but calibration labs insist on the 4 °C reference for traceability.
How do you read a water manometer in mmH₂O?
Connect one side of a U-tube to the duct and leave the other open to atmosphere. The water level drops on the pressurized side and rises on the open side. The total height difference in millimeters is the gauge pressure in mmH₂O. Inclined (slant) manometers amplify small readings by tilting the tube — a 10:1 slope makes each millimeter of travel represent 0.1 mmH₂O, improving resolution for filter pressure-drop testing.
What mmH₂O range indicates a clogged HVAC filter?
A clean residential furnace filter creates 12–50 mmH₂O of pressure drop. When the drop exceeds 125–250 mmH₂O (varies by manufacturer), the filter is restricting airflow enough to hurt efficiency and strain the blower motor. Commercial systems set alarms at specific mmH₂O thresholds — when the differential pressure sensor hits the limit, a "replace filter" indicator lights up on the building management system.
How does mmH₂O relate to inches of water column (inH₂O)?
1 inch of water = 25.4 mmH₂O (since 1 inch = 25.4 mm). US HVAC specs use inches of water gauge (often written "in. w.g."); European and Asian specs use mmH₂O. If a US furnace manual says "maximum 0.5 in. w.g. static pressure," that is 12.7 mmH₂O. The conversion is just the familiar inch-to-millimeter factor applied to a column of water.
Newton per Square Centimeter – Frequently Asked Questions
When would an engineer use N/cm² instead of megapascals or bar?
N/cm² sits in a sweet spot for materials testing and contact mechanics. Concrete compressive strength (2–5 N/cm²), rubber hardness testing, and tire contact patch pressures all land in single- or double-digit N/cm² values. Megapascals would give fractions; bare pascals would give five-digit numbers. The unit is not common in consumer contexts, but it shows up on lab equipment and technical data sheets for polymers and composites.
How do you convert N/cm² to more common pressure units?
1 N/cm² = 10,000 Pa = 10 kPa = 0.1 bar ≈ 1.45 psi. The factor of 10,000 comes from the area: one square centimeter is 0.0001 m², so concentrating a newton on that smaller area multiplies the pressure by 10,000 compared with N/m². For quick field estimates, just remember 1 N/cm² ≈ 1.5 psi.
What is the pressure under a car tire in N/cm²?
Typical car tire inflation pressure is 2.0–2.5 bar, which is 20–25 N/cm². But the ground contact pressure depends on tire design and load distribution — it is usually close to the inflation pressure, so roughly 2–3 N/cm² for a passenger car. Heavy trucks with higher inflation pressures can exert 6–8 N/cm², which is why truck-rated roads need thicker pavement.
Is N/cm² related to the old "kilogram-force per square centimeter" unit?
Yes — 1 kgf/cm² ≈ 9.81 N/cm². The kgf/cm² was popular in older engineering because 1 kgf equals the force of gravity on 1 kg, making it intuitive. The N/cm² is the metrically cleaner successor: it uses newtons (SI force) instead of kilogram-force (a non-SI unit). In practice you will see both on older Asian and European equipment.
What N/cm² values represent the strength of common materials?
Soft rubber fails at about 1–2 N/cm². Ordinary concrete withstands 2–5 N/cm² in compression. Hardwood can take 4–6 N/cm². Mild steel yields at roughly 25,000 N/cm² (250 MPa). These numbers show why materials scientists prefer MPa for metals and GPa for ceramics — N/cm² stays practical mainly for softer materials and moderate-pressure systems.