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50 lines
1.6 KiB
Python
50 lines
1.6 KiB
Python
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"""
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Description : Centripetal force is the force acting on an object in
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curvilinear motion directed towards the axis of rotation
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or centre of curvature.
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The unit of centripetal force is newton.
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The centripetal force is always directed perpendicular to the
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direction of the object’s displacement. Using Newton’s second
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law of motion, it is found that the centripetal force of an object
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moving in a circular path always acts towards the centre of the circle.
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The Centripetal Force Formula is given as the product of mass (in kg)
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and tangential velocity (in meters per second) squared, divided by the
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radius (in meters) that implies that on doubling the tangential velocity,
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the centripetal force will be quadrupled. Mathematically it is written as:
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F = mv²/r
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Where, F is the Centripetal force, m is the mass of the object, v is the
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speed or velocity of the object and r is the radius.
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Reference: https://byjus.com/physics/centripetal-and-centrifugal-force/
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"""
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def centripetal(mass: float, velocity: float, radius: float) -> float:
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"""
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The Centripetal Force formula is given as: (m*v*v)/r
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>>> round(centripetal(15.5,-30,10),2)
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1395.0
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>>> round(centripetal(10,15,5),2)
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450.0
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>>> round(centripetal(20,-50,15),2)
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3333.33
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>>> round(centripetal(12.25,40,25),2)
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784.0
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>>> round(centripetal(50,100,50),2)
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10000.0
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"""
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if mass < 0:
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raise ValueError("The mass of the body cannot be negative")
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if radius <= 0:
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raise ValueError("The radius is always a positive non zero integer")
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return (mass * (velocity) ** 2) / radius
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if __name__ == "__main__":
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import doctest
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doctest.testmod(verbose=True)
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