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C++ programming labs 1: Project 15: Speed of Sound. Sound travels through air as a result...

C++ programming labs

1: Project 15: Speed of Sound. Sound travels through air as a result of collisions between the molecules in the air. The temperature of the air affects the speed of the molecules, which in turn affects the speed of sound. The velocity of sound in dry air can be approximated by the formula:
     velocity = 331.3 + 0.61

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Answer #1

#include <iostream>
#include <cmath>

using namespace std;

int main(){
   int n;
   cout << "Enter number to compute the square root of: ";
   cin >> n;
   double guess = n / 2;
   if (n < 0) {
       cout << "Can't find square root of a negative number" << endl;
   }
   else {
       double pctDiff = 555555;
       double lastGuess = guess;
       while (abs(pctDiff) >= 0.01) {
           double r = n / guess;
           guess = (guess + r) / 2;
           pctDiff = ((guess - lastGuess) / lastGuess);
           lastGuess = guess;
       }
       cout << "The estimate of the square root of " << n << " is " << guess << endl;;
   }
   return 0;
}

_______________________________________________________________________________________________

#include <iostream>
#include <iomanip>

using namespace std;

double velocity(int t){
   return 331.3 + (0.61 * t);
}

int main(){
   int sTemp, eTemp;
   cout << "Enter the starting temperature, in degrees Celsius: ";
   cin >> sTemp;
   cout << "Enter the ending temperature, in degrees Celsius: ";
   cin >> eTemp;
   cout << setprecision(1) << fixed;
   if (sTemp < eTemp) {
       for (int i = sTemp; i <= eTemp; ++i) {
           cout << "At " << i << " degrees Celsius the velocity of sound is " << velocity(i) << " m/s" << endl;
       }
   }
   return 0;
}

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Answer #2

Note: (1) Project 15 and (3) Project 15 questions are same:

C++ Program Code:

//Header file section
#include<iostream>
using namespace std;

//Program begins with main function
void main()
{
    //Declare variables
int startTemp, endTemp;
//Prompt and read input from the user
cout<<"\nEnter the starting temperature, in degrees Celsius: ";
cin>>startTemp;
cout<<"Enter the ending temperature, in degrees Celsius: ";
cin>>endTemp;
cout<<endl;
     while(startTemp<=endTemp)
    {
//Display the temperature and the corresponding
  //velocity in one degree increments
      cout<<"At "<<startTemp<<" degrees Celsius the velocity of sound is "<<(331.3 + 0.61 *startTemp);
    cout<<" m/s"<<endl;
    startTemp++;
    }
//Pause system for a while
system("pause");
}

Output:

---------------------------------------------------------------------------------------------------------------

2) Project 12:

C++ Program Code:

//Header file section
#include <iostream>
#include <conio.h>
#include <math.h>  
using namespace std;

//Program begins with main function
int main()
{

//Declared variables
int n;
double guess,previousguess,r;

//Prompt and read input from the user
cout<<"Enter number to compute the square root :";
cin>>n;
//Calculating value of guess
guess = (double) n/2;
while( guess*guess < 0.99*(double)n ||
                        guess*guess > 1.01*(double)n)
{   
   previousguess = guess;   
  r = (double) n/guess;
  guess = (double)(guess+r)/2;
}
//Display the output as a double
cout << "The estimate of the square root of " << n
                          << " is = " << guess << "\n";

  //Pause system for a while
system("pause");
}

Output:

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