Accession Number:

ADA196270

Title:

The Use of Numerical Methods and Microcomputers in Undergraduate Experiments

Descriptive Note:

Final rept.

Corporate Author:

ARMY MILITARY PERSONNEL CENTER ALEXANDRIA VA

Personal Author(s):

Report Date:

1988-05-01

Pagination or Media Count:

139.0

Abstract:

The analytical power of a microcomputer in experiments is demonstrated through the use of numerical methods to solve the differential equations of motion, Both Heuns method a second order Runge-Kutta method and a fourth order Predictor-Corrector method are used to calculate approximate solutions to the equations of motion for physical systems. These rather tedious calculations are performed quickly with the computer and provide solutions for differential equations which are difficult or impossible to solve analytically in closed form. These methods are used to simulate and analyze the motion of a rotating disk and a a physical pendulum, both including friction and air resistance. The motion of each system is recorded and plotted by the microcomputer. The Pascal software written allows comparison of the data with the numerical solution and will also calculate constants of the actual motion through computer is then used in two college freshmen experiments and one experiment at the level of a college junior. Keywords theses.

Subject Categories:

  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE