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 . If the maximum error in the measurement of force and length are , respectively , `4% and 2%`. Find the maximum error in the measurement of pressure.

Answer 1

`P = (F)/(A) = (F)/(l^(2))`, so maximum error in pressure `(P)`
`((Delta P)/(P) xx 100)_(max) = (Delta F)/(F) xx 100 + 2 (Delta l)/(l) xx 100`
` = 4% + 2 xx 2% = 8%`