Analysis of Experiment
Analysis - Inclusion of drag forces in a model
Derivation of equation 9.3
(9.3) The force balance on the bob involves inertia, gravitation, and drag forces as in the case of the skydiver. Thus we can start with equation (3.1).where mass of the bob, kg
(3.1)
drag coefficient of the bob, Ns2/m2The initial condition is represented by the first experimental point taken at t=t0. Thus
m/s (9.1) Separating variables in equation (3.1) we obtain
Multiplying each side of the equation by k/m and including the initial condition as the lower limit of integration. Integrating we obtain
Rearranging the equation Taking the of both sides of the equation and Copyright © 1998 Rensselaer Polytechnic Institute. All Rights Reserved.