46 lines
1.9 KiB
Text
46 lines
1.9 KiB
Text
[
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{"name":"Density","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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""","input":[{"name":"m","unit":"kilogram"},{"name":"V","unit":"cubic meter"}],"output":{"name":"rho","unit":"kilogram per cubic meter"},"d4rtCode":"rho = m / V;","tags":["physics","mechanics","material"]},
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{"name":"Pressure","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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""","input":[{"name":"F","unit":"newton"},{"name":"A","unit":"square meter"}],"output":{"name":"P","unit":"pascal"},"d4rtCode":"P = F / A;","tags":["physics","mechanics","fluid"]},
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{"name":"Buoyant Force","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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""","input":[{"name":"rho","unit":"kilogram per cubic meter"},{"name":"g","unit":"meters per square second"},{"name":"V","unit":"cubic meter"}],"output":{"name":"Fb","unit":"newton"},"d4rtCode":"Fb = rho * g * V;","tags":["physics","fluid","mechanics"]}
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]
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