The definition of pascal confused

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SUMMARY

One pascal (Pa) is defined as one Newton per square meter (N/m²). The discussion clarifies that two pascals (2 Pa) equate to two Newtons per square meter, not two Newtons per two square meters. The mathematical representation confirms that 2 Pa simplifies to 2 kg/m·s², demonstrating that the fraction representation does not alter the fundamental definition of pascal. Misinterpretations regarding the application of pascals over an area are addressed, emphasizing the importance of understanding the unit's definition.

PREREQUISITES
  • Understanding of basic physics concepts, particularly force and pressure.
  • Familiarity with unit conversions in the International System of Units (SI).
  • Knowledge of dimensional analysis and unit simplification.
  • Basic algebra for manipulating fractions and units.
NEXT STEPS
  • Study the relationship between pressure and force in fluid mechanics.
  • Learn about the applications of pascal in various scientific fields.
  • Explore dimensional analysis techniques for unit conversion.
  • Investigate the historical development of pressure units and their significance.
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Students in physics, engineers working with fluid dynamics, and anyone interested in understanding pressure measurements and their applications in real-world scenarios.

Femme_physics
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So 1 pascal is 1 Newton per squared meter
Are 2 pascals 2 Newtons per squared meter, or 2 Newtons per 2 squared meter applied on the object?
 
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2 Newtons per squared meter - correct.

2 Newtons per 2 squared meter - wrong.

Think about it, 2 Newtons per 2 squared meter = 1N per square meter.

Right it out with the units and you'll see that by applying it to the top and bottom cancels out to leave you with 1N per square meter always.

Pascal = kg / m s2

2 Pascal = (2/1) x (kg / m s2) = 2kg / ms2

Picture the 2 as a fraction = 2/1. Multiply that fraction out with the units and you get your answer.

It doesn't matter what fraction you represent the two with (2/1, 4/2, 8/4, 1/0.5 etc) you will always come back to: 2kg / ms2 = 2Pa

To get 2 Newtons per 2 squared meter, you'd need the fraction to be 2/2 Pa = 1 Pa.

Not the worlds greatest explanation, but that's how I work it out and check it.
 
Last edited:
Think about it, 2 Newtons per 2 squared meter = 1N per square meter.

Yes, I had this silly thought of it being a measure of how many 1 Newtons per 1 squared meter are applied over a general area...but since this general area is defined as 1 squared meter already, that resolves it!
 

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