Answer to Question #230607 in Electrical Engineering for Nano

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?
1
Expert's answer
2021-08-30T01:54:32-0400

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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