Centrifugal Force

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

force centrifugalCentrifugal force, abbreviated as \(F_c\) or \(F_{cf}\), is when a force pushes away from the center of a circle, but this does not really exist.  When an object travels in a circle, the object always wants to go straight, but the centripetal force keeps the object traveling along an axis of rotation.

 

Centrifugal force by Angular Velocity formula

\(\large{ F_c =  m \; \omega^2 \; r  }\)
Symbol English Metric
\(\large{ F_c }\) = centrifugal force \(\large{lbf}\) \(\large{N}\) 
\(\large{ \omega }\)   (Greek symbol omega) = angular velocity \(\large{\frac{deg}{sec}}\) \(\large{\frac{rad}{s}}\)
\(\large{ m }\) = mass \(\large{lbm}\) \(\large{kg}\)
\(\large{ r }\) = radius from the origin \(\large{ft}\) \(\large{m}\)

 

Centrifugal force by Tangential Velocity formula

\(\large{ F_c = \frac { m \; v_t^2 }{ r } }\)
Symbol English Metric
\(\large{ F_c }\) = centrifugal force \(\large{lbf}\) \(\large{N}\) 
\(\large{ m }\) = mass \(\large{lbm}\) \(\large{kg}\)
\(\large{ r }\) = radius from the origin \(\large{ft}\) \(\large{m}\)
\(\large{ v_t }\) = tangential velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{sec}}\)

 

Centrifugal force in RPM formula

\(\large{ F_c = \frac{30}{\pi} \; m \; RPM^2 \; r  }\)
Symbol English Metric
\(\large{ F_c }\) = centrifugal force \(\large{lbf}\) \(\large{N}\) 
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)
\(\large{ m }\) = mass \(\large{lbm}\) \(\large{kg}\)
\(\large{ r }\) = radius from the origin \(\large{ft}\) \(\large{m}\)
\(\large{ RPM } \) = revolutions per minute \(\large{\frac{rev}{min}}\)  \(\large{\frac{rev}{min}}\) 

 

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Tags: Force Equations