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63 lines
1.9 KiB
Python
63 lines
1.9 KiB
Python
"""
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Calculate the buoyant force of any body completely or partially submerged in a static
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fluid. This principle was discovered by the Greek mathematician Archimedes.
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Equation for calculating buoyant force:
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Fb = ρ * V * g
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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 # Also available in scipy.constants.g
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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 the object (m^3)
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gravity: Acceleration from gravity. Gravitational force on the system,
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The default is Earth Gravity
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returns:
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the buoyant force on an object in Newtons
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>>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
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19600.0
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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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>>> archimedes_principle(fluid_density=997, volume=-0.7)
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Traceback (most recent call last):
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...
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ValueError: Impossible object volume
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>>> archimedes_principle(fluid_density=0, volume=0.7)
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Traceback (most recent call last):
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...
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ValueError: Impossible fluid density
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>>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
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0.0
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>>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
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Traceback (most recent call last):
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...
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ValueError: Impossible gravity
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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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doctest.testmod()
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