updated physics/archimedes_principle.py

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()

physics/archimedes_principle_of_buoyant_force.py

@@ -0,0 +1,63 @@
+"""
+Calculate the buoyant force of any body completely or partially submerged in a static
+fluid. This principle was discovered by the Greek mathematician Archimedes.
+
+Equation for calculating buoyant force:
+Fb = ρ * V * g
+
+https://en.wikipedia.org/wiki/Archimedes%27_principle
+"""
+
+
+# Acceleration Constant on Earth (unit m/s^2)
+g = 9.80665 # Also available in scipy.constants.g
+
+
+def archimedes_principle(
+ fluid_density: float, volume: float, gravity: float = g
+) -> float:
+ """
+ Args:
+ fluid_density: density of fluid (kg/m^3)
+ volume: volume of object/liquid being displaced by the object (m^3)
+ gravity: Acceleration from gravity. Gravitational force on the system,
+ The default is Earth Gravity
+ returns:
+ the buoyant force on an object in Newtons
+
+ >>> archimedes_principle(fluid_density=500, volume=4, gravity=9.8)
+ 19600.0
+ >>> archimedes_principle(fluid_density=997, volume=0.5, gravity=9.8)
+ 4885.3
+ >>> archimedes_principle(fluid_density=997, volume=0.7)
+ 6844.061035
+ >>> archimedes_principle(fluid_density=997, volume=-0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible object volume
+ >>> archimedes_principle(fluid_density=0, volume=0.7)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible fluid density
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=0)
+ 0.0
+ >>> archimedes_principle(fluid_density=997, volume=0.7, gravity=-9.8)
+ Traceback (most recent call last):
+ ...
+ ValueError: Impossible gravity
+ """
+
+ if fluid_density <= 0:
+ raise ValueError("Impossible fluid density")
+ if volume <= 0:
+ raise ValueError("Impossible object volume")
+ if gravity < 0:
+ raise ValueError("Impossible gravity")
+
+ return fluid_density * gravity * volume
+
+
+if __name__ == "__main__":
+ import doctest
+
+ doctest.testmod()