December 11, 2023, 06:02:44 PM
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### Topic: unit conversion proof?  (Read 16900 times)

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#### everydaygame

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##### unit conversion proof?
« on: November 11, 2008, 07:00:36 AM »
Hi, im trying to prove pC/N (coloumb per newton) is equivilant to pM/V (meter per volt) but im stuck

C (coloumb) = F.V (farad by volt)

F (farad) = S4. A2. M-2. Kg-1

So using F

C= V. S4. A2. M-2. Kg-1

Overall: C/N

N (newton) = Kg. M. S-2

therefore

C/N = V. S4. A2. M-2. Kg-1 / Kg. M. S-2

V. S6. A2 / M3. Kg 2

at this point i cant see how to procced.

What have idone wrong or what realtionship do i need to complete the proof?
« Last Edit: November 11, 2008, 07:29:50 AM by everydaygame »

#### Borek

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##### Re: unit conversion proof?
« Reply #1 on: November 11, 2008, 07:42:41 AM »
Explaining your symbols won't hurt. I have no idea what you mean.
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#### everydaygame

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##### Re: unit conversion proof?
« Reply #2 on: November 11, 2008, 08:41:30 AM »
Hi sorry a little presumptive of me, the units are
coloumbs    c
Kilograms    kg
meters       m
amperes     a
seconds     s

I really meant to put this in the physical forum i was just browsing the materials section, oh well. Ill leave this here though to avoid a cross post.

#### everydaygame

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##### Re: unit conversion proof?
« Reply #3 on: November 11, 2008, 08:47:59 AM »
In fact heres the whole thing again:

Hi, im trying to prove pC/N (coloumb per newton) is equivilant to pM/V (meter per volt) but im stuck

C (coloumb) = F x V (farad by volt)

coloumbs    c
Kilograms    kg
meters       m
amperes     a
seconds     s
volt           v

F (farad) = S4x A2x M-2x Kg-1

So using F

C= V x S4x A2x M-2x Kg-1

Overall: C/N

N (newton) = Kg x M x S-2

therefore

C/N = V x S4 x A2 x M-2 x Kg-1 / Kg. M x S-2

V x S6 x A2 / M3 x Kg 2

at this point i cant see how to procced.

What have i done wrong or what realtionship do i need to complete the proof?

#### Astrokel

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##### Re: unit conversion proof?
« Reply #4 on: November 11, 2008, 09:15:46 AM »
hi everydaygame, what is SI base units of Volt? It will be clearer to you once you have express it and so far so good
No matters what results are waiting for us, it's nothing but the DESTINY!!!!!!!!!!!!

#### Borek

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##### Re: unit conversion proof?
« Reply #5 on: November 11, 2008, 09:21:47 AM »
coloumbs    c
Kilograms    kg
meters       m
amperes     a
seconds     s
volt           v

F (farad) = S4x A2x M-2x Kg-1

Note:
second is s, not S
meter is m, not M
kilogram is kg, not Kg

That's one of the reasons I had no idea what you were writing about.
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#### everydaygame

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##### Re: unit conversion proof?
« Reply #6 on: November 11, 2008, 09:53:39 AM »
thanks for the replies

ahh sorry borek i am aware of the convention i was just being sloppy

I think i may have solved the conversion if some one would check they agree:

Using V = m 2 x kg / s 3 x A

put into

C/N = V x s4 x A2 x m-2 x kg-1 / kg. m x s-2
C/N = A x s 3 / kg x m

as V = m 2 x kg / s 3 x A
1/ V = A x s 3 / kg x m 2

time both sides by m

m/v = A x s 3 / kg x m

#### Astrokel

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##### Re: unit conversion proof?
« Reply #7 on: November 11, 2008, 10:38:17 AM »
That's one possible way and remember to make a concluding statement.
No matters what results are waiting for us, it's nothing but the DESTINY!!!!!!!!!!!!

#### everydaygame

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##### Re: unit conversion proof?
« Reply #8 on: November 11, 2008, 10:47:14 AM »
Thanks just wanted to check it worksnot usre I know what you mean by a concluding statement though

#### Astrokel

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##### Re: unit conversion proof?
« Reply #9 on: November 11, 2008, 11:01:19 AM »
Conluding statement is something like mathematical induction.

Since C/N = A x s 3 / kg x m  and  m/v = A x s 3 / kg x m as such units of C/N is equalvalent to units of m/V.  (Proved)

No matters what results are waiting for us, it's nothing but the DESTINY!!!!!!!!!!!!

#### DrCMS

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##### Re: unit conversion proof?
« Reply #10 on: November 11, 2008, 11:07:26 AM »
1 Colomb =  1 Joule per volt

1 Joule = 1 Newton metre

C/N = (J/V)/N = ((N.m)/V)/N = m/V