Basic Equation for Celestial Body in Uniform Circular Motion (Gravity as Centripetal Force)
Formula: G (M m)/(r²) = m (v²)/(r) = m ω² r = m (4π²)/(T²) r. Conditions: Central body mass M > > orbiting body mass m, orbiting body in uniform circular motio…
Syllabus path: Mechanics › Circular Motion & Gravitation
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CSCA Physics Formula Reference
Formula and explanation
Formula: G (M m)/(r²) = m (v²)/(r) = m ω² r = m (4π²)/(T²) r. Conditions: Central body mass M > > orbiting body mass m, orbiting body in uniform circular motion with orbital radius r. Explanation: This is the fundamental relation for analyzing motions like satellites and planets.
Related tutorial and examples
Circular Motion & Gravitation
Circular Motion & Gravitation 1. Kinematics of Circular Motion Quantities describing circular motion: Linear Velocity ( v ): How fast it moves along the path. Tangential direction. Formula: v = (Δ s)/(Δ t) = (2π r)/(T) Angular Velocity ( ω ): How fast the angle changes. Formula: …
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