# Unit conversions involving Pascals

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Summary:: Pascal units digits

Do somebody have a chart that converts pascals , mega pascals etc to units to know how many digits or zeros there are after the point please ?

Thanks

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Staff Emeritus
2019 Award
Theres' nothing special about pascals. Kilo is 1000, mega is 1000000 etc.

So for example when you have the result of 15 625 000 N m 2 how you put in pascals ? 15 625 kPa ?

Thanks

etotheipi
Gold Member
2019 Award
So for example when you have the result of 15 625 000 N m 2 how you put in pascals ? 15 625 kPa ?

Thanks
Yes, $1 \text{ Pa} = 1 \text{ N} \text{m}^{-2}$ by definition. Like @Vanadium 50 alluded to, the SI prefixes are general.

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• vanhees71 and chriscarson
A.T.
• chriscarson

Thank you

Yes, $1 Pa = 1 Nm^{-2}$ by definition. Like @Vanadium 50 alluded to, the SI prefixes are general.
So 1 Pa = 0.01Nm with tha little -2 ?

etotheipi
Gold Member
2019 Award
So 1 Pa = 0.01Nm with tha little -2 ?
No, $\text{N} \text{m}^{-2}$ is equivalent to $\frac{\text{N}}{\text{m}^{2}}$! It has no relevance to the prefix whatsoever!

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• chriscarson
No, $Nm^{-2}$ is equivalent to $N/m^{2}$! It has no relevance to the prefix whatsoever!

Ok
Thanks . Have to study more about these to understand.

etotheipi
Gold Member
2019 Award
So for example when you have the result of 15 625 000 N m 2 how you put in pascals ? 15 625 kPa ?

Thanks
You seemed like you had it here! You can think of units sort of like algebraic quantities. To do the conversion, you could write down

$15625000 \text{ N}\text{m}^{-2} = 15625 \times 10^{3} \text{ N}\text{m}^{-2} = 15625 \text{ kN}\text{m}^{-2} = 15625 \text{ kPa}$

just like you obtained. Once you get the hang of it, you'll find that you won't really need to think at all/write all of that junk out!

Last edited:
• chriscarson
You seemed like you had it here! You can think of units sort of like algebraic quantities. To do the conversion, you could write down

$15625000 Nm^{-2} = 15625 \times 10^{3} Nm^{-2} = 15625 kNm^{-2} = 15625 kPa$

just like you obtained. Once you get the hang of it, you'll find that you won't really need to think at all/write all of that junk out!
I notice you made always a -2 on the m .

Mister T
Gold Member
I notice you made always a -2 on the m .
$m^{-2}=\frac{1}{m^2}$

• chriscarson
$m^{-2}=\frac{1}{m^2}$
It s ok I give up . But thanks anyway for your help .

vanhees71
Gold Member
2019 Award
You seemed like you had it here! You can think of units sort of like algebraic quantities. To do the conversion, you could write down

$15625000 Nm^{-2} = 15625 \times 10^{3} Nm^{-2} = 15625 kNm^{-2} = 15625 kPa$

just like you obtained. Once you get the hang of it, you'll find that you won't really need to think at all/write all of that junk out!
And it's very important to typeset units in roman (upright), it should read
$$1 \, \text{Pa}=1 \, \text{N} \, \text{m}^{-2}=1 \, \frac{\text{N}}{\text{m}^2}$$
etc.

• • chriscarson and etotheipi
etotheipi
Gold Member
2019 Award
And it's very important to typeset units in roman (upright), it should read
$$1 \, \text{Pa}=1 \, \text{N} \, \text{m}^{-2}=1 \, \frac{\text{N}}{\text{m}^2}$$
etc.
Ah that's useful, never knew \text{} was a thing! My latex is dreadful...

• chriscarson and vanhees71
jtbell
Mentor
$m^{-2}=\frac{1}{m^2}$
It s ok I give up . But thanks anyway for your help .
Have you never seen negative exponents used to indicate reciprocals? $$10^{-2}=\frac 1 {10^2} = \frac 1 {100}$$ $$x^{-3} = \frac 1 {x^3}$$ etc.

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Have you never seen negative exponents used to indicate reciprocals? $$10^{-2}=\frac 1 {10^2} = \frac 1 {100}$$ $$x^{-3} = \frac 1 {x^3}$$ etc.

No . I finished school early now I m taking a course .

jbriggs444
Homework Helper
2019 Award
No . I finished school early now I m taking a course .
The meaning for negative exponents follows naturally from the law of exponents:$$x^{a+b}=x^a \times x^b$$
If you have an exponent $-a$, it then follows that:$$x^{-a} \times x^a = x^{-a+a} = x^0$$ By definition(*), $x^0=1$ so we can write: $$x^{-a} \times x^a = 1$$ If we divide through by $x^a$ that yields: $$x^{-a} = \frac{1}{x^a}$$

(*) One might quibble about the grounding definitions for exponentiation. But I like to start with the idea that an empty product yields the multiplicative identity (1) just like an empty sum yields the additive identity (0).

• chriscarson
The meaning for negative exponents follows naturally from the law of exponents:$$x^{a+b}=x^a \times x^b$$
If you have an exponent $-a$, it then follows that:$$x^{-a} \times x^a = x^{-a+a} = x^0$$ By definition(*), $x^0=1$ so we can write: $$x^{-a} \times x^a = 1$$ If we divide through by $x^a$ that yields: $$x^{-a} = \frac{1}{x^a}$$

(*) One might quibble about the grounding definitions for exponentiation. But I like to start with the idea that an empty product yields the multiplicative identity (1) just like an empty sum yields the additive identity (0).

I will need a very basic lesson to understand this . I started from the middle of the subject. but thanks

jbriggs444
Homework Helper
2019 Award
I will need a very basic lesson to understand this . I started from the middle of the subject. but thanks

I will but I m focusing on what the exams will be about and we stopped to work out stress , strain, and young modulus because it s an assistant technician course.

Mister T
Gold Member
So for example when you have the result of 15 625 000 N m 2 how you put in pascals ? 15 625 kPa ?
First of all it would be 15 625 000 N/m². That's 15 625 000 newtons of force on each square meter of area. This would be, by definition, 15 625 000 Pa. And since there are 1000 pascals in a kilopascal, it would be equivalent to 15 625 kPa.

• chriscarson
this one it s ok i fully understood it

Staff Emeritus
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