A laboratory experiment uses a column of an unknown incompressible liquid to measure…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A laboratory experiment uses a column of an unknown incompressible liquid to measure gravitational acceleration. A researcher measures a gauge pressure of 2.20×104 Pa2.20\times10^{4}\,\text{Pa} at a point 25.0 cm25.0\,\text{cm} below the liquid’s free surface. A separate density measurement later yields 880 kg m−3880\,\text{kg}\,\text{m}^{-3}. (a) Using the pressure reading and depth, calculate the experimental value of the local gravitational acceleration gexpg_{\text{exp}}. (b) The accepted value at the laboratory location is 9.79 m s−29.79\,\text{m}\,\text{s}^{-2}. Compute the percent error of the experimental value. (c) Identify two plausible experimental sources of error that could account for the difference between gexpg_{\text{exp}} and the accepted value, explaining how each source would affect the calculated result.

Related theory

Browse the problem library