Centripetal Force and Curving Motion: Difference between revisions
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===A Mathematical Model=== | ===A Mathematical Model=== | ||
While an object is in circular motion, the centripetal force is always perpendicular to the velocity of the object, meaning that the object experiences a force towards the centre of the circle while | While an object is in circular motion, the centripetal force is always perpendicular to the velocity of the object, meaning that the object experiences a force towards the centre of the circle while | ||
it is moving. The simple mathematical model for centripetal force is normally <math>F_c = ma_c = \frac{m v^2}{r}</math> for any object moving in a circle. However in many circumstances, it is helpful to split the centripetal force into parallel and perpendicular forces, or <math> | it is moving. The simple mathematical model for centripetal force is normally <math>F_c = ma_c = \frac{m v^2}{r}</math> for any object moving in a circle. However in many circumstances, it is helpful to split the centripetal force into parallel and perpendicular forces, or <math>F_{para}</math> and <math>F_{perp}</math> | ||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 13:15, 26 November 2015
Created by Chinmay Kulkarni
Main Idea
A centripetal force is a force acting on a body while it has curving motion. In these certain situations, the momentum of the system is not constant, since the direction of motion, or velocity always changes direction while the speed may remain constant.
A Mathematical Model
While an object is in circular motion, the centripetal force is always perpendicular to the velocity of the object, meaning that the object experiences a force towards the centre of the circle while it is moving. The simple mathematical model for centripetal force is normally [math]\displaystyle{ F_c = ma_c = \frac{m v^2}{r} }[/math] for any object moving in a circle. However in many circumstances, it is helpful to split the centripetal force into parallel and perpendicular forces, or [math]\displaystyle{ F_{para} }[/math] and [math]\displaystyle{ F_{perp} }[/math]
A Computational Model
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