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more example formulas

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Álvaro González 2025-09-16 18:14:39 +02:00
parent 5198895c10
commit d396d71afc
1 changed files with 38 additions and 18 deletions
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@ -13,11 +13,11 @@ Where:
![Free Fall Diagram](https://upload.wikimedia.org/wikipedia/commons/thumb/7/72/Free-fall.svg/1200px-Free-fall.svg.png)''',
input: [
{name: "t", magnitude: "s"}, // Time in seconds
{name: "g", magnitude: "m/s²"} // Gravitational acceleration
{name: "t", unit: "s"}, // Time in seconds
{name: "g", unit: "m/s²"} // Gravitational acceleration
],
output: {name: "h", magnitude: "m"}, // Height in meters
d4rtCode: "0.5 * g * pow(t, 2)"
output: {name: "h", unit: "m"}, // Height in meters
d4rtCode: "h = 0.5 * g * pow(t, 2)"
},
// Newton's Law of Universal Gravitation
@ -35,12 +35,12 @@ Where:
![Gravitation](https://upload.wikimedia.org/wikipedia/commons/thumb/3/33/NewtonsLawOfUniversalGravitation.svg/1200px-NewtonsLawOfUniversalGravitation.svg.png)''',
input: [
{name: "m1", magnitude: "kg"}, // Mass 1
{name: "m2", magnitude: "kg"}, // Mass 2
{name: "r", magnitude: "m"} // Distance between masses
{name: "m1", unit: "kg"}, // Mass 1
{name: "m2", unit: "kg"}, // Mass 2
{name: "r", unit: "m"} // Distance between masses
],
output: {name: "F", magnitude: "N"}, // Force in newtons
d4rtCode: "(6.67430e-11 * m1 * m2) / pow(r, 2)"
output: {name: "F", unit: "N"}, // Force in newtons
d4rtCode: "F = (6.67430e-11 * m1 * m2) / pow(r, 2)"
},
// Kinetic Energy
@ -57,11 +57,11 @@ Where:
![Kinetic Energy](https://upload.wikimedia.org/wikipedia/commons/thumb/4/44/Kinetic_energy.svg/1200px-Kinetic_energy.svg.png)''',
input: [
{name: "m", magnitude: "kg"}, // Mass
{name: "v", magnitude: "m/s"} // Velocity
{name: "m", unit: "kg"}, // Mass
{name: "v", unit: "m/s"} // Velocity
],
output: {name: "KE", magnitude: "J"}, // Energy in joules
d4rtCode: "0.5 * m * pow(v, 2)"
output: {name: "KE", unit: "J"}, // Energy in joules
d4rtCode: "KE = 0.5 * m * pow(v, 2)"
},
// Projectile Motion Range
@ -75,10 +75,30 @@ Where:
"- `g` = Gravitational acceleration\n\n"
"![Projectile Motion](https://upload.wikimedia.org/wikipedia/commons/thumb/5/52/Projectile_motion_diagram.png/800px-Projectile_motion_diagram.png)",
input: [
{name: "v", magnitude: "m/s"}, // Initial velocity
{name: "θ", magnitude: "deg"} // Launch angle
{name: "v", unit: "m/s"}, // Initial velocity
{name: "θ", unit: "deg"} // Launch angle
],
output: {name: "R", magnitude: "m"}, // Horizontal distance
d4rtCode: "(pow(v, 2) * sin(2 * radians(θ))) / 9.80665"
}
output: {name: "R", unit: "m"}, // Horizontal distance
d4rtCode: "R = (pow(v, 2) * sin(2 * radians(θ))) / 9.80665"
},
{
name: "Newton's Second Law",
description: '''
Force equals mass times acceleration
`F = m * a`
Where:
- `m` = Mass of object (kg)
- `a` = Acceleration (m/s²)
![Newton's Second Law](https://upload.wikimedia.org/wikipedia/commons/thumb/7/73/Newtonslawsofmotion.jpg/800px-Newtonslawsofmotion.jpg)''',
input: [
{name: "m", unit: "kg"}, // Mass
{name: "a", unit: "m/s²"} // Acceleration
],
output: {name: "F", unit: "N"}, // Force in newtons
d4rtCode: "F = m * a"
},
]