Centripetal force (from Latin centrum "center" and petere "to seek"[1]) is a force that makes a body follow a curved path: its direction is always orthogonal to the velocity of the body, toward the fixed point of the instantaneous center of curvature of the path. Centripetal force is generally the cause of circular motion. In simple terms, centripetal force is defined as a force which keeps a body moving with a uniform speed along a circular path and is directed along the radius towards the centre.[2][3] The mathematical description was derived in 1659 by Dutch physicist Christiaan Huygens. Isaac Newton's description was: "A centripetal force is that by which bodies are drawn or impelled, or in any way tend, towards a point as to a centre."[4] Contents [hide] * 1 Formula * 2 Sources of centripetal force * 3 Analysis of several cases * 3.1 Uniform circular motion * 3.1.1 Calculus derivation * 3.1.2 Derivation using vectors * 3.1.3 Example: The banked turn * 3.2 Nonuniform circular motion * 3.3 General planar motion * 3.3.1 Polar coordinates * 3.3.2 Local coordinates * 3.3.2.1 Alternative approach * 3.3.2.2 Example: circular motion * 4 See also * 5 Notes and references * 6 Further reading * 7 External links| -------------------------------------------------

[edit]Formula
The magnitude of the centripetal force on an object of mass m moving at tangential speed v along a path with radius of curvature r is:[5]

where is the centripetal acceleration. The direction of the force is toward the center of the circle in which the object is moving, or the osculating circle, the circle that best fits the local path of the object, if the path is not circular.[6] The speed in the formula is squared, so twice the speed needs four times the force. The inverse relationship with the radius of curvature shows that half the radial distance requires twice the force. This force is also...

...Purpose
To be able to understand and verify the relationship centripetalforce, mass, velocity, and the radius of orbit for a body that is undergoing centripetal acceleration.
Background Information
An object moving in the same direction is not necessarily undergoing acceleration. If the object changes speed while moving in the same direction there is acceleration (or deceleration). On the other hand, if the object moves at a constant...

...Title: CentripetalForce
Tools and Equipments: nylon cord, different weighing hanging masses, stopwatch, meter stick.
Purpose: To be able to determine the relationship between centripetalforce, mass, velocity, and the radius of orbit for a body that is undergoing centripetal acceleration. To investigate the dynamics of uniform circular motion. Specifically the relationships among the centripetal...

...Physics Lab Report
Experiment M3 CentripetalForce
School: La Salle College
Class: 6G
Group members (Group 7): Carson Ho, Tang Yui Hong, John Yu, Justin Kwong
Date: 1 / 10 / 2014
Report is written by: Tang Yui Hong 6G (27)
Title
CentripetalForce
Objective
To verify the equation for centripetalforce
Apparatus
Instrument
Descriptions
1 rubber bung
circular,...

...Title : Centripetalforce
Objective
To measure the centripetalforce for whirling a mass round a horizontal circle and compare the result with the theoretical value given by F = m(2r .
Apparatus
12 slotted weights with hanger (0.02kg each)
1 rubber bung with nylon string about 1.5m
1 glass tube about 20cm long
1 triple beam balance
1 meter rule
1 stop watch
Several small paper markers
Theory
When a mass m attached to...

...Centripetal Acceleration
Experiment # 7
Abstract
In this experiment we studied the centripetal acceleration of an object while it was moving in a constant circular motion.
Introduction
In this experiment we studied the centripetal acceleration of an object at different constant motions. We found that when an object is traveling at a constant circular motion, the object does not stop unless an outside force acts upon it to...

...Centripetalforce
From Wikipedia, the free encyclopedia
Jump to: navigation, search
Not to be confused with Centrifugal force.
This article contains many unreferenced sections and needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (January 2011)
Roller coaster cars are forced through a loop by the track applying a...

...AL Physics CentripetalForce(1ST Lab Report)
Objective :
To measure the centripetalforce by whirling it around a horizontal circle, then compare the result with theoretical value FC = m(2r.
Apparatus :
1Rubber bung
1Glass tube (About 15 cm long)
1Slotted weights, with hanger 12 × 0.02 kg
1Nylon thread 1.5 m
1Paper marker
1Adhesive tape
1Metre rule
1Stop watch
1Safety goggles
Set-up:
Procedure:
1. Attach one end...