Create centripetal_force.py

physics/centripetal_force.py

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