<title>Ballistics Calculator</title> <meta name="description" content="A Ballistics Calculator to compute force at impact, heat gained, and range of a projectile."> <meta name="keywords" content="ballistics, calculator, force, impact, heat, projectile, range">
function calculate() { // Retrieve input values var projectileWeight = parseFloat($("#projectileWeight").val()); var initialSpeed = parseFloat($("#initialSpeed").val()); var rangeOfImpact = parseFloat($("#rangeOfImpact").val()); var altitude = parseFloat($("#altitude").val());
// Error handling if (isNaN(projectileWeight) || isNaN(initialSpeed) || isNaN(rangeOfImpact) || isNaN(altitude)) { showError("Please enter valid input values."); return; }
// Calculate results var projectileWeightKg = projectileWeight * 0.453592; var initialSpeedMeters = initialSpeed * 0.3048; var airDensity = calculateAirDensity(altitude); var dragForce = calculateDragForce(projectileWeightKg, initialSpeedMeters, airDensity); var forceAtImpact = 0.5 * projectileWeightKg * Math.pow(initialSpeedMeters, 2); var heatGained = calculateHeatGained(dragForce, airDensity, altitude, rangeOfImpact); var rangeAt45Degrees = calculateRangeAt45Degrees(initialSpeedMeters);
function showError(message) { $("#error").text(message); $("#error").show(); }
function hideError() { $("#error").hide(); }
function calculateAirDensity(altitude) { // Standard atmosphere model approximation (valid for altitudes up to 11,000 meters) var temperature = 288.15 - 0.0065 * altitude; var pressure = 101325 * Math.pow(1 - 0.0065 * altitude / 288.15, 5.255); var airDensity = pressure / (287.05 * temperature); return airDensity; }
function calculateDragForce(projectileWeight, initialSpeed, airDensity) { // Simplified drag force calculation (assumes constant drag coefficient) var dragCoefficient = 0.47; // For a sphere var crossSectionalArea = Math.PI * Math.pow(projectileWeight / (4 / 3 * Math.PI * 7870), 2 / 3); var dragForce = 0.5 * airDensity * Math.pow(initialSpeed, 2) * dragCoefficient * crossSectionalArea; return dragForce; }
function calculateHeatGained(dragForce, airDensity, altitude, rangeOfImpact) { // Simplified heat gained calculation (assumes constant drag force and air density) var heatGained = dragForce * rangeOfImpact; return heatGained; }
function calculateRangeAt45Degrees(initialSpeed) { // Calculate range of the projectile when fired at 45 degrees (ignores air resistance) var g = 9.81; // Standard earth gravity (m/s^2) var range = (Math.pow(initialSpeed, 2) * Math.sin(2 * (Math.PI / 4))) / g; return range * 3.28084; // Convert meters to feet } </script>
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