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eHow »Education »Calculate Quantities »Calculate Force »How to Calculate Centrifugal Force

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InstructionsSet the terms for the problem. S is an arc of the circle that the object is traveling in, V is

the velocity, R is the radius of the circle and t is time.

Establish the basic formula for force. Newton's second law of motion defines force as F =

ma where F is force, m is mass and a is acceleration.

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Determine the acceleration of an object moving in a circle. As the

change in the arc S (also known as delta S) approaches zero, the change

in the velocity's direction (delta V) approaches zero as well. We

therefore have (delta S)/R = (delta V)/R which means V (delta S) = R

(delta V). Dividing both sides by delta t, we now have V (delta S/delta t) = R (delta

V/delta t). Since velocity is defined as delta S/delta t and acceleration is defined as delta

V/delta t we now have V^2 = Ra. Therefore a = V^2/R.

Substitute the value of a obtained in step 3 for a in the equation of step 2. Since F = ma

and a = V^2/R, we now have F = mV^2/R.

Use the equation in step 4 to solve a specific centrifugal force problem. A 0.8 kilogram

mass on the end of a 1.5 meter string is traveling at 9 meters per second. The force that

must be exerted on the string to hold on to the mass is given by 0.8 x 9^2 / 1.5 = 43.2

newtons.

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How How How How to Calculate Centrifugal to Calculate Centrifugal to Calculate Centrifugal to Calculate Centrifugal ForceForceForceForce

Centrifugal force is the apparent outward

force that acts on an object moving in a

circle. The use of the term "apparent" is

important in this definition because

centrifugal force is a virtual force that does

not actually exist. While centrifugal force

appears real to the object being accelerated,

it is merely the effect of accelerating in a

circle. Centrifugal force may be calculated when the mass and velocity of the object are

known as well as the radius of the circle in which it is traveling.

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4/4/2013http://www.ehow.com/how_5130895_calculate-centrifugal-force.html