Question

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using the formula $P=F/l^2$. If the maximum errors in the measurement of force and length are $4\%$ and $2\%$, respectively, then what is the maximum error in the measurement of pressure?

Answer 1

Formula $P=\frac{F}{l^2}$

$\frac{\Delta P}{P}\times 100=(\frac{\Delta F}{F}+\frac{2\Delta l}{l})\times 100$

% error $=(4+2\times 2)$%

$=8$%