relativity maths

i am making a calculator thing that does math based around particles and need some equations i couldn't find on wikipedia
i have gamma, beta, rest mass energy, and kinetic energy calculations
to complete this calculator i need acceleration and mass calculations
if anybody is interested maybe i could post the code for you
update after a long bit of internet searching i found
force = velocity * acceleration * gamma^3
Last edited on
I think you are looking for invariant mass and acceleration if I'm understanding you correctly?

http://en.wikipedia.org/wiki/Mass_in_special_relativity#Invariant_mass

The two equations are there. I'd be quite interested to see your code to see what you're doing. Presumably working out special relativity equations for a user given particle?
thanks that helped
my code is not even half complete and is 12000+ characters
is it considered spam if i post it between two replys
I don't think that is considered spam. If you are worried, you can upload it to somewhere and just post the link. ;)

Nope, it's relevant information so I guess the admin wouldn't have a problem with it.

He's pretty chill with most things, as long as you don't post naughty pictures.
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#include <iostream>
#include <cmath>

using namespace std;


int main ()
{
    int w = 1;
    double gamma;
    double gammaA;
    double gammaB;
    double beta;
    double betaSQ;
    double C = 299792458;
    double CSQ = 89875517873681764;
    double Gc = 6.67384 / 100000000000;
    double Ge = 9.78;
    double G;
    double V;
    double Va;
    double Vb;
    double VSQ;
    double VCU;
    double Vstr;
    double Vend;
    double length;
    double M;
    double Mr;
    double Mn;
    double A;
    double F;
    double T;
    double Ep;
    double Em;
    double Ek;
    double Et;
    double x;
    double y;
    double z;
    double a;
    double b;
    double c;
    while (w == 1){
    cout << "all variables are metric (meters, seconds, newtons, kilograms, joules) \n";
    cout << "relative 1 or newtonian 2 \n";
    cin >> y;
    if (y == 1){
    cout << "solve for gamma 1, beta 2, gravity 3, mass 4, acceleration 5, force 6, time 7, mass energy 8, kinetic energy 9, total energy 10 \n";
    cin >> x;
    if (x == 1) {
            cout << "input beta \n";
            cin >> beta;
            betaSQ = beta * beta;
            gammaA = 1 - betaSQ;
            gammaB = sqrt(gammaA);
            gamma = 1 / gammaB;
            cout << "\ngamma is " << gamma;

    }
    else if (x == 2) {
            cout << "input velocity \n";
            cin >> V;
            beta = V / C;
            cout << "\nbeta is " << beta;
    }
    else if (x == 3) {

    }
    else if (x == 4) {
            cout << "rest mass 1 or moving mass 2 \n";
            cin >> z;
            if (z == 1) {
                cout << "mass energy 1 or total energy 2 \n";
                cin >> a;
                if (a == 1) {
                    cout << "input mass energy \n";
                    cin >> Em;
                    Mn = Em / CSQ;
                    cout << "\nthe rest mass is " << Mn;
                }
                else {
                    cout << "input total energy \n";
                    cin >> Et;
                    cout << "\ninput gamma \n";
                    cin >> gamma;
                    cout << "\ninput velocity \n";
                    cin >> velocity;
                    Em = (Et / gamma) / V;
                    Mn = Em / CSQ;
                    cout << "\nthe rest mass is " << Mn;
                }
            }
            else {

            }
    }
    else if (x == 5) {

    }
    else if (x == 6) {

    }
    else if (x == 7) {

    }
    else if (x == 8) {
            cout << "input rest mass \n";
            cin >> Mn;
            Em = M * CSQ;
            cout << "\nthe mass energy is " << CSQ;
    }
    else if (x == 9) {
            cout << "input gamma \n";
            cin >> gamma;
            cout << "\ninput rest mass \n";
            cin >> Mn;
            cout << "\ninput V \n";
            cin >> V;
            Em = Mn * CSQ;
            Et = Em * gamma * V;
            Ek = Et - Em;
            cout << "\nthe kinetic energy is " << Ek;
    }
    else {
            cout << "input gamma \n";
            cin >> gamma;
            cout << "\ninput rest mass \n";
            cin >> Mn;
            cout << "\ninput velocity \n";
            cin >> V;
            Em = Mn * CSQ;
            Et = Em * gamma * V;
            cout << "\nthe total energy is " << Et;
    }
    }
    else {
        cout << "solve for velocity 1, mass 2, acceleration 3, force 4, time 5, kinetic energy 6, gravity 7 \n";
    cin >> x;
    if (x == 1) {
            cout << "timed acceleration 1 or kinetic energy and mass 2 \n";
            cin >> z;
            if (z == 1) {
                cout << "input time \n";
                cin >> T;
                cout << "\ninput acceleration \n";
                cin >> A;
                V = A * T;
                cout << "\nthe velocity is " << V;
            }
            else {
                cout << "input mass \n";
                cin >> M;
                cout << "\ninput kinetic energy \n";
                cin >> Ek;
                Va = Ek / M;
                Vb = Va * 2;
                V = sqrt (Vb);
                cout << "\nthe velocity is " << V;
            }
    }
    else if (x == 2) {
            cout << "input kinetic energy \n";
            cin >> Ek;
            cout << "\ninput velocity \n";
            cin >> V;
            VSQ = V * V;
            M = Ek * 2 / VSQ;
            cout << "\nthe mass is " << M;
    }
    else if (x == 3) {
            cout << "input force \n";
            cin >> F;
            cout << "\ninput mass \n";
            cin >> M;
            A = F / M;
            cout << "\nthe acceleration is " << A;
    }
    else if (x == 4) {
            cout << "input mass \n";
            cin >> M;
            cout << "\ninput acceleration \n";
            cin >> A;
            F = M * A;
            cout << "\nthe force is " << F;
    }
    else if (x == 5) {
            cout << "input acceleration \n";
            cin >> A;
            cout << "\ninput start velocity \n";
            cin >> Vstr;
            cout << "\ninput velocity end \n";
            cin >> Vend;
            V = Vend - Vstr;
            T = A / V;
            cout << "\nthe time is " << T;
    }
    else if (x == 6) {
        cout << "input velocity \n";
        cin >> V;
        cout << "\ninput mass \n";
        cin >> M;
        VSQ = V * V;
        Ek = VSQ * M / 2;
        cout << "\nthe kinetic energy is " << Ek;
    }
    else {
            cout << "graitational force 1, potential energy 2, or acceleration 3 \n";
            cin >> z;
            if (z == 1) {
                cout << "\ninput mass \n";
                cin >> M;
                cout << "\ninput other mass \n";
                cin >> Mn;
                cout << "\ninput distance \n";
                cin >> length;
                G = M * Mn * Gc / (length * length);
                cout << "\nthe gravitational force is " << G;
            }
            else if (z == 2) {
                    cout << "\ntotal potential energy 1, lengthed/timed fall 2, or lengthed/timed fall on earth 3 \n";
                    cin >> a;
                    if (a == 1) {

                    }
                    else if (a == 2) {
                        cout << "\n potential energy 1, end veloctiy 2, or average veloctiy 3 \n";
                        cin >> b;
                        if (b == 1) {
                            cout << "\ninput gravitation \n";
                            cin >> G;
                            cout << "\ninput fall length \n";
                            cin >> length;
                            cout << "\ninput mass \n";
                            cin >> M;
                            Ep = G * length * M;
                            cout << "\nthe potential energy is " << Ep;
                        }
                        else if (b == 2) {
                            cout << "\ntime 1 or length 2 \n";
                            cin >> c;
                            if (c == 1) {
                                cout << "\ninput fall time \n";
                                cin >> T;
                                cout << "\ninput gravitation \n";
                                cin >> G;
                                length = G * T * T / 2;
                                Ep = G * length;
                                VSQ = Ep * 2;
                                V = sqrt(VSQ);
                                cout << "\nthe end velocity is " << V;
                            }
Last edited on
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}
                            else {
                                cout << "\ninput fall length \n";
                                cin >> length;
                                cout << "\ninput gravitation \n";
                                cin >> G;
                                Ep = G * length;
                                VSQ = Ep * 2;
                                V = sqrt(VSQ);
                                cout << "\nthe end velocity is " << V;
                            }

                        }
                        else {
                            cout << "\ntime 1 or length 2 \n";
                            cin >> c;
                            if (c == 1) {
                                cout << "\ninput fall time \n";
                                cin >> T;
                                cout << "\ninput gravitation \n";
                                cin >> G;
                                V = T * G / 2;
                                cout << "\nthe average velocity is " << V;
                            }
                            else {
                                cout << "\ninput fall length \n";
                                cin >> length;
                                cout << "\ninput gravitation \n";
                                cin >> G;
                                T = sqrt(length * 2 / G);
                                V = T * G / 2;
                                cout << "\nthe average velocity is " << V;
                            }
                        }
                    }
                    else {
                        cout << "\npotential energy 1, end velocity 2, or average velocity 3 \n";
                        cin >> b;
                        if (b == 1) {
                            cout << "\ntime 1 or length 2 \n";
                            cin >> c;
                            if (c == 1) {
                                cout << "\ninput time \n";
                                cin >> T;
                                cout << "\ninput mass \n";
                                cin >> M;
                                length = Ge * T * T / 2;
                                Ep = length * M * Ge;
                                cout << "\nthe potential energy is " << Ep;
                            }
                            else {
                                cout << "\ninput fsll length \n";
                                cin >> length;
                                cout << "\ninput mass \n";
                                cin >> M;
                                Ep = length * M * Ge;
                                cout << "\nthe potential energy is " << Ep;
                            }
                        }
                        else if (b == 2) {
                            cout << "\ntime or length \n";
                            cin >> c;
                            if (c == 1) {
                                cout << "\ninput fall time \n";
                                cin >> T;
                                length = Ge * T * T / 2;
                                Ep = length * Ge;
                                VSQ = Ep * 2;
                                V = sqrt(VSQ);
                                cout << "\nthe end velocity is " << V;
                            }
                            else {
                                cout << "\ninput fall length \n";
                                cin >> length;
                                Ep = length * Ge;
                                VSQ = Ep * 2;
                                V = sqrt(VSQ);
                                cout << "\nthe end velocity is " << V;
                            }
                        }
                        else {
                            cout << "\ntime or length \n";
                            cin >> c;
                            if (c == 1) {
                                cout << "\ninput time \n";
                                cin >> T;
                                V = T * Ge / 2;
                                cout << "\nthe average velocity is " << V;
                            }
                            else {
                                cout << "\ninput length \n";
                                cin >> length;
                                T = sqrt(length * 2 / Ge);
                                V = T * Ge / 2;
                                cout << "\nthe average velocity is " << V;
                            }
                        }
                        }
                    }
            }
    }
    cout << "\n would you like to do another equation? 1 yes 2 no \n";
    cin >> w;
    }
}

i like if statements
Last edited on
Please put your code in [code][/code] tags:

http://www.cplusplus.com/articles/z13hAqkS/
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