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50 lines
1.2 KiB
Python
50 lines
1.2 KiB
Python
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"""
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Calculates buoyant force on object submerged within static fluid.
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Discovered by greek mathematician, Archimedes. The principle is named after him.
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Equation for calculating buoyant force:
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Fb = ρ * V * g
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Source:
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- https://en.wikipedia.org/wiki/Archimedes%27_principle
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"""
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# Acceleration Constant on Earth (unit m/s^2)
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g = 9.80665
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def archimedes_principle(
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fluid_density: float, volume: float, gravity: float = g
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) -> float:
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"""
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Args:
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fluid_density: density of fluid (kg/m^3)
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volume: volume of object / liquid being displaced by object
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gravity: Acceleration from gravity. Gravitational force on system,
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Default is Earth Gravity
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returns:
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buoyant force on object in Newtons
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>>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
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4885.3
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>>> archimedes_principle(fluid_density=997, volume=0.7)
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6844.061035
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"""
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if fluid_density <= 0:
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raise ValueError("Impossible fluid density")
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if volume < 0:
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raise ValueError("Impossible Object volume")
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if gravity <= 0:
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raise ValueError("Impossible Gravity")
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return fluid_density * gravity * volume
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if __name__ == "__main__":
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import doctest
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# run doctest
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doctest.testmod()
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