UNIFORM CIRCULAR MOTION CALCULATOR

Uniform circular motion calculator calculates the uniform circular motion parameters such as angular velocity, constant speed, centripetal acceleration, period, frequency and radius of the circle. Uniform circular motion formulas are given below the calculator for each of the calculation cases.

Uniform Circular Motion Calculator

Uniform Circular Motion Formulas

Uniform circular motion formulas which are used in calculations are listed below.

Circle Radius Formulas:

\(r=\frac { { V }^{ 2 } }{ { a }_{ c } } \)
\(r=\frac { { a }_{ c } }{ { w }^{ 2 } } \)
\(r=V/w\)

 

Angular Velocity Formulas:

\(w=\frac { V }{ r }\)
\(w=\frac { 2\pi }{ T }\)

 

Period Formulas:

\(T=\frac { 2\pi }{ w }\)
\(T=\frac { 1 }{ f }\)

 

Frequency Formulas:

\(f=\frac { 1 }{ T }\)

 

Centripetal Acceleration Formulas:

\({ a }_{ c }=\frac { { V }^{ 2 } }{ r } \)
\({ a }_{ c }={ w }^{ 2 }r\)

 

Constant Speed Formulas:

\(V=\sqrt { { a }_{ c }r } \)
\(V=wr \)

 

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