A diving bell is certified for a maximum absolute pressure of

MATHEMATICS · Single correct · GCSE · Mathematics · Number · Number

Problem

550\,\text{kPa}

. At a coastal site where atmospheric pressure is

101\,\text{kPa}

, engineers quickly estimate the maximum safe depth in seawater (

\rho = 1.025\times10^{3}\,\text{kg/m}^3

) using

g = 9.8\,\text{m/s}^2

. Later, they recompute using the more precise value

g = 9.81\,\text{m/s}^2

. What is the percent error in their original depth estimate? (a) Approximately

0.5\%

(b) Approximately

1.0\%

0.1\%

(d) Approximately

0.2\%