Engine efficiency: solve 44.23 = 100(1 - 1/fifth-root[R^2]) for r

[drz400dude]

I have a problem that involves engine efficiency.

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\(\displaystyle 44.23\, =\, 100\, \left(1\, -\, \dfrac{1}{\sqrt[5]{\strut R^2\,}}\right)\)

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I need to solve for r.

I'm not even sure where to start.

 

[mmm4444bot]

I have a problem that involves engine efficiency.

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\(\displaystyle 44.23\, =\, 100\, \left(1\, -\, \dfrac{1}{\sqrt[5]{\strut R^2\,}}\right)\)

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<sup>I need to solve for r. You need to solve for R.

I'm not even sure where to start.</sup>

Is this equation from a class assignment?

If, instead, the equation were:

44.23 = 100(Z)

would you know how to solve for Z?

Do you know what quantity symbol R represents? Is it always a positive quantity (eg: cylinder radius)?

Are you familiar with Rational exponents? For example, \(\displaystyle \frac{1}{\sqrt[5]{R^{2}}}\) can be expressed in the form \(\displaystyle R^{\frac{-m}{n}}\) where \(\displaystyle m\) and \(\displaystyle n\) are Integers.

Please give us some idea of what level you're at. Cheers :cool: