Numerical Solution to the Falling Parachutist Problem: Where: DO E UD Fw=mg с Object released from rest A numerical iterative solution was formulated to be: V FD ti ti+1 Fw=mg During acceleration A parachutist of mass 68.1 kg jumps out of a stationary hot air balloon. The drag coefficient is 12.5kg/s. Given the differential equation: 9-12 v (1) g = acceleration due to gravity, 9.8 m/s² m = mass of the parachutist, 68.1 kg = drag coefficient, 12.5 kg/s = velocity, in m/s = initial time interval, in seconds = following time interval, in seconds FD=Fw=mg Fw=mg net force=Fp-Fw = mg-mg = 0 At terminal velocity v(ti+1)= v(t₁) + [g- / v(ti)](ti+1-t₁) (2)
Numerical Solution to the Falling Parachutist Problem: Where: DO E UD Fw=mg с Object released from rest A numerical iterative solution was formulated to be: V FD ti ti+1 Fw=mg During acceleration A parachutist of mass 68.1 kg jumps out of a stationary hot air balloon. The drag coefficient is 12.5kg/s. Given the differential equation: 9-12 v (1) g = acceleration due to gravity, 9.8 m/s² m = mass of the parachutist, 68.1 kg = drag coefficient, 12.5 kg/s = velocity, in m/s = initial time interval, in seconds = following time interval, in seconds FD=Fw=mg Fw=mg net force=Fp-Fw = mg-mg = 0 At terminal velocity v(ti+1)= v(t₁) + [g- / v(ti)](ti+1-t₁) (2)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter8: Time And Time-related Variables In Engineering
Section: Chapter Questions
Problem 39P
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