Question

An experiment measures quantities a,b,c and X is calculated from the formula X= ab²/c³.The percentage errors in a,b,c are 1%,2% amd 3% respectively. What is the percentage error in X

Answer 1

HELLO THERE!

Equation:

$X = \frac{ab^{2}}{c^{3}}$

Percentage error in X can be given by:

$\frac{\Delta X}{X} \times 100 = 1(\frac{\Delta a}{a} \times100 ) + 2(\frac{\Delta b}{b} \times100 ) + 3(\frac{\Delta c}{c} \times 100 )$

= (1x1) + (2x2) + (3x3)

= 1 + 4 + 9

= 14%

THANKS!