If percentage uncertainties in force (F) and area (A) are 2% and 5% respectively, then what will be percentage uncertainty in pressure (P) exerted by force on the area?

If percentage uncertainties in force (F) and area (A) are 2% and 5% respectively, then what will be percentage uncertainty in pressure (P) exerted by force on the area?

Explanation

Pressure P = F/A. The uncertainty in P is given by:

(ΔP/P) = (ΔF/F) + (ΔA/A)

Given ΔF/F = 2% and ΔA/A = 5%,

(ΔP/P) = 2% + 5% = 7%