mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-23 21:11:08 +00:00
b0f68a0248
* Create centripetal_force.py Centripetal force is the force acting on an object in curvilinear motion directed towards the axis of rotation or centre of curvature. * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Update centripetal_force.py The value error should also handle negative values of the radius and using more descriptive names will be more beneficial for the users * Update centripetal_force.py Made some bug fixes Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: SparshRastogi <75373475+SparshRastogi@users.noreply.github.com>
50 lines
1.6 KiB
Python
50 lines
1.6 KiB
Python
"""
|
||
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)
|