Equations of Motion Under Constant Power - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Software Libraries (/forum-10.html) +--- Forum: HP Prime Software Library (/forum-15.html) +--- Thread: Equations of Motion Under Constant Power (/thread-1619.html) |
Equations of Motion Under Constant Power - Eddie W. Shore - 06-14-2014 08:40 PM The following HP Prime program, CARFORCE, takes the following for arguments: P = power in horsepower (hp) M = mass in pounds (lb) I = initial velocity (mph) T = time to evaluate (seconds) CARFORCE will return a list of four answers: Zip (numerical value only (ft/s^1.5)) Acceleration in miles per hour per second Velocity in miles per hour Position in feet Example: Data: Vehicle has a 100 hp engine, has a mass of 4,000 pounds. Figure the equations of motion after 10 seconds elapsed. Assume the vehicle is initially stopped. CARPOWER(100, 4000, 0, 10) returns {21.0331445022, 3.2066959696_mile/(h*s), 64.1339193918_mile/h, 627.087211833_ft} Program: Code: EXPORT CARPOWER(P,M,I,T) Sources: Lloyd, Taylor W. “The Laws of Motion Under Constant Power” The Ohio Journal of Science, v30 n4 (July, 1930), 218-220. https://kb.osu.edu/dspace/bitstream/1811/2458/1/V30N04_218.pdf Revised 6/12/2014 Stephenson, Roger “Constant power equations of motion” (Published January 29, 1982) from the compilation book The Physics of Sports edited by Angelo Armenti, Jr. American Institute of Physics: New York 1992, pp. 284-289 My blog entry: http://edspi31415.blogspot.com/2014/06/hp-prime-equations-of-motion-under.html |