|
| 1 | +""" |
| 2 | +Description : Centripetal force is the force acting on an object in |
| 3 | +curvilinear motion directed towards the axis of rotation |
| 4 | +or centre of curvature. |
| 5 | +
|
| 6 | +The unit of centripetal force is newton. |
| 7 | +
|
| 8 | +The centripetal force is always directed perpendicular to the |
| 9 | +direction of the object’s displacement. Using Newton’s second |
| 10 | +law of motion, it is found that the centripetal force of an object |
| 11 | +moving in a circular path always acts towards the centre of the circle. |
| 12 | +The Centripetal Force Formula is given as the product of mass (in kg) |
| 13 | +and tangential velocity (in meters per second) squared, divided by the |
| 14 | +radius (in meters) that implies that on doubling the tangential velocity, |
| 15 | +the centripetal force will be quadrupled. Mathematically it is written as: |
| 16 | +F = mv²/r |
| 17 | +Where, F is the Centripetal force, m is the mass of the object, v is the |
| 18 | +speed or velocity of the object and r is the radius. |
| 19 | +
|
| 20 | +Reference: https://byjus.com/physics/centripetal-and-centrifugal-force/ |
| 21 | +""" |
| 22 | + |
| 23 | + |
| 24 | +def centripetal(mass: float, velocity: float, radius: float) -> float: |
| 25 | + """ |
| 26 | + The Centripetal Force formula is given as: (m*v*v)/r |
| 27 | +
|
| 28 | + >>> round(centripetal(15.5,-30,10),2) |
| 29 | + 1395.0 |
| 30 | + >>> round(centripetal(10,15,5),2) |
| 31 | + 450.0 |
| 32 | + >>> round(centripetal(20,-50,15),2) |
| 33 | + 3333.33 |
| 34 | + >>> round(centripetal(12.25,40,25),2) |
| 35 | + 784.0 |
| 36 | + >>> round(centripetal(50,100,50),2) |
| 37 | + 10000.0 |
| 38 | + """ |
| 39 | + if mass < 0: |
| 40 | + raise ValueError("The mass of the body cannot be negative") |
| 41 | + if radius <= 0: |
| 42 | + raise ValueError("The radius is always a positive non zero integer") |
| 43 | + return (mass * (velocity) ** 2) / radius |
| 44 | + |
| 45 | + |
| 46 | +if __name__ == "__main__": |
| 47 | + import doctest |
| 48 | + |
| 49 | + doctest.testmod(verbose=True) |
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