I need to learn how to solve metric conversions through dimensional analysis. Can someone please help any info would be greatly appreciated.

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- May 8th 2013, 11:09 AMdwinns17dimensional analysis for metric conversions
I need to learn how to solve metric conversions through dimensional analysis. Can someone please help any info would be greatly appreciated.

- May 8th 2013, 11:35 AMtopsquarkRe: dimensional analysis for metric conversions
Do you mean something like 100 m = ? ft or something like finding the unit of a quantity by using an equation? (Such as F = Gm_1*m_2/r^2, and find the unit for G)? Or is it something else?

-Dan - May 8th 2013, 11:45 AMShakarriRe: dimensional analysis for metric conversions
I think I know what you are asking but I might be wrong. I think the best way to explain is with an example.

We want a formula to describe how long it takes a ripple moving through a liquid to die down.

We assume that the time taken is a function of the fluid's density , viscosity and the speed of sound in the fluid

Assume that the formula is in the form

Examining the units of each quantity

The formula must be such that the units are balanced

The indexes on the units must match up

seconds,

meters,

kilograms,

If you solve this set of equations you find that b=1, c=-4, a=-1.

So we know the equation must be

- May 8th 2013, 12:56 PMHartlwRe: dimensional analysis for metric conversions
convert m/sec

^{2}to ft/hr^{2}

1 meter = 3.28 ft

1 hr =60 sec

(m/sec^{2})(3.28ft/m)(60sec/hr)^{2}= 11822ft/hr^{2}

That's the pattern for any unit conversion, if that's what you are asking.