78 lines
2.2 KiB
Text
78 lines
2.2 KiB
Text
[
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// Density
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{
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"name": "Density",
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"description": r"""
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Mass per unit volume of a substance.
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$$\rho = \frac{m}{V}$$
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Where:
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- $\rho$: Density ($\mathrm{kg/m^3}$)
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- $m$: Mass (kilograms)
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- $V$: Volume (cubic meters)
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Density is an intrinsic property of materials.
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""",
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"input": [
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{"name": "m", "unit": "kilogram"},
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{"name": "V", "unit": "cubic meter"}
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],
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"output": {"name": "rho", "unit": "kilogram per cubic meter"},
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"d4rtCode": "rho = m / V;",
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"tags": ["physics", "mechanics", "material"]
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},
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// Pressure
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{
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"name": "Pressure",
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"description": r"""
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Force applied perpendicular to a surface per unit area.
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$$P = \frac{F}{A}$$
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Where:
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- $P$: Pressure (Pascals)
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- $F$: Force (Newtons)
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- $A$: Area (square meters)
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Pressure is transmitted equally in all directions in fluids.
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""",
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"input": [
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{"name": "F", "unit": "newton"},
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{"name": "A", "unit": "square meter"}
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],
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"output": {"name": "P", "unit": "pascal"},
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"d4rtCode": "P = F / A;",
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"tags": ["physics", "mechanics", "fluid"]
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},
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// Buoyant Force
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{
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"name": "Buoyant Force",
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"description": r"""
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Upward force exerted on an object immersed in a fluid (Archimedes' principle).
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$$F_b = \rho g V$$
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Where:
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- $F_b$: Buoyant force (Newtons)
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- $\rho$: Fluid density ($\mathrm{kg/m^3}$)
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- $g$: Gravitational acceleration ($\mathrm{m/s^2}$)
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- $V$: Displaced volume (cubic meters)
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An object floats when buoyant force equals its weight.
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""",
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"input": [
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{"name": "rho", "unit": "kilogram per cubic meter"},
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{"name": "g", "unit": "meters per square second"},
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{"name": "V", "unit": "cubic meter"}
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],
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"output": {"name": "Fb", "unit": "newton"},
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"d4rtCode": "Fb = rho * g * V;",
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"tags": ["physics", "fluid", "mechanics"]
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}
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]
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