Question #230607

A geometry textbook gives the equation of a parabola as y = x 2, where x

and y are measured in inches. How can this equation be dimensionally correct?

and y are measured in inches. How can this equation be dimensionally correct?

Expert's answer

To make the equation y=x^2 dimensionally correct, there must be a constant of either side with a dimension that balances both sides. Let the constant be k.

Therefore,

y=kx^2\\ Dimensionally,\\ L=kL^2\\ k=L^{1-2}=L^{-1}

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