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Kinematics · Physics

Uniform Circular Motion

Understand why constant speed can still mean acceleration — and master centripetal relationships.

This topic includes

Subtopics to master

Learn the key quantities and how they connect: v, a_c, T, and f.

Speed direction
Tangential Velocity
Describe motion along a circular path and connect linear speed to rotation.
  • Velocity is tangent to the circle
  • Same speed, changing direction
  • v = 2πr / T
Start subtopic Direction matters.
Acceleration
Centripetal Acceleration
Learn why circular motion requires inward acceleration, even at constant speed.
  • a_c points toward the center
  • a_c = v² / r
  • Common misconceptions
Start subtopic Core formula + intuition.
Cycles
Period and Frequency
Connect rotation rate to time per cycle and cycles per second.
  • Period T (seconds per revolution)
  • Frequency f (revolutions per second)
  • f = 1/T
Start subtopic Great for linking formulas.
Practice
Practice & Exercises
Drill v, a_c, r, T, and f relationships with quick conversions and multi-step problems.
  • v = 2πr/T conversion drills
  • a_c = v²/r mixed questions
  • Period/frequency conversions
  • Conceptual “direction of a” questions
  • Exam-style circular motion sets
Open practice Make circular motion easy.