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// This program/converter is designed to find the desired 'real' values using Einstein's theory of relativity
#include<iostream>
#include<math.h>
#include<stdlib.h>
using namespace std;
int main()
{
int choice; // User's choice
float c; //Speed of light
c = 299792458;
cout << " " << endl;
cout << "Welcome to Craig McRae's Relitivity Calculator!" << endl;
cout << "What would you like to calculate?" << endl;
cout << "1) Relativistic Length, Mass and Time dilation" << endl;
cout << "2) Relativistic Velocity addition" << endl;
cout << "3) Mass energy equivilence" << endl;
cin >> choice;
cout << " " << endl;
if ( choice == 1 )
{
float V; //Speed
float length, mass, time; //Initial mass, length, and time
float Rlength, Rmass, Rtime; //Relitivistic Length, mass and time
float y; //Gamma or Lorentz transform
cout << "How fast are you going? (m/s)";
cin >> V;
while ( V >= c )
{cout << "IMPOSSIBLE! NOTHING CAN GO THAT FAST!" << endl;
cout << "How fast are you REALLY going? (m/s)";
cin >> V;
}
cout << "How long were you traveling at this speed? (in seconds) ";
cin >> time;
cout << "Enter your mass in kg: ";
cin >> mass;
cout << "Enter your length in meters: ";
cin >> length;
y = sqrt(1 - ((V*V)/(c*c)));
Rmass = mass / y;
Rtime = time / y;
Rlength = length * y;
cout << " " << endl;
cout << "Traveling at a speed of " << V << "m/s, to an observer at rest you would appear to have a length of " << Rlength << " meters, a mass of " << Rmass << " kg, and " << time << " seconds for you would be " << Rtime << " seconds for the observer!" << endl;
}
if ( choice == 2 )
{
float V1, V2, Vf; //Velocities
char ans; //For y/n
cout << "What is the first velocity (in m/s)? ";
cin >> V1;
while ( V1 >= c )
{cout << "Error: Velocity can not be greater the speed of light" << endl;
cout << "What is the first velocity (in m/s)? ";
cin >> V1;
}
cout << "What is the second Velocity (in m/s)? ";
cin >> V2;
while ( V2 >= c )
{cout << "Error: Velocity can not be greater the speed of light" << endl;
cout << "What is the second Velocity (in m/s)? ";
cin >> V2;
}
cout << "Are they going in the same direction? (Y/N)";
cin >> ans;
if ( ans == 'Y' || ans == 'y')
{V2 = -1 * V2;
}
//Calculations
Vf = abs(V1 + V2);
if ( ans == 'Y' || ans == 'y')
{V2 = -1 * V2;
}
Vf = Vf/(1 + (V1*V2)/(c*c));
cout << " " << endl;
cout << "The combined relativistic speed of " << V1 << " and " << V2 << " is " << Vf << "m/s" << endl;
}//End Choice =2
if (choice == 3)
{
int conv; //Which Converter to use
float mass;
float energy;
float V; //Speed
float P; //Momentum
float y; //Gamma
cout << "Which conversion are you doing?" << endl;
cout << "1) Mass & momentum to Energy, or 2) Energy to mass " << endl;
cin >> conv;
if ( conv == 1 )
{cout << "What is the objects mass in kg? " << endl;
cin >> mass;
cout << "What is the objects speed in m/s? " << endl;
cin >> V;
while ( V >= c )
{cout << "Error: Speed can not surpass the speed of light" << endl;
cout << "What is the objects Velocity?" << endl;
cin >> V;
}
y = sqrt(1 - ((V*V)/(c*c)));
P = (mass * V)/y;
energy = sqrt((mass*c*c)*(mass*c*c) + (P*c)*(P*c));
cout << "The total energy stored in a " << mass << " kg object with a speed of " << V << " m/s is " << energy << " joules!" << endl;
}
if ( conv == 2)
{cout << "Enter the energy you want to convert to mass, in joules: " << endl;
cin >> energy;
mass = energy/(c*c);
cout << energy << " joules of energy is equivalent to " << mass << "kg. " << endl;
}
}//Choice = 3
return 0;
}
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