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Next exam on November 14 – 15, 2026:
All concepts

Circular Motion

圆周运动

Linear speed, angular velocity, period and frequency in uniform circular motion and the relations among them, plus centripetal acceleration and the source of the centripetal force.

11 real-exam questions · 4 sittings12 in mock papers8 practice

Formulas

  • Linear and angular velocity

    Formula
    v=ωrv=\omega r

    Applies when:Uniform circular motion; r is the orbital radius

  • Centripetal acceleration

    Formula
    an=v2r=ω2ra_n=\frac{v^2}{r}=\omega^2r

    Applies when:Always directed at the centre; it changes the direction of the velocity, not its magnitude

  • Angular velocity and period

    Formula
    ω=2πT=2πf\omega=\frac{2\pi}{T}=2\pi f

    Applies when:Uniform circular motion; T is the period and f the frequency

How the real exam tests it

Questions from real CSCA papers that test this concept. Work each one out before you open the answer.

  1. CSCA Physics December 2025 Past Paper
    A point moves in uniform circular motion with a speed of v=6 m⋅ s−1\mathrm { v } = 6 \mathrm {~m} \cdot \mathrm {~s} ^ { - 1 }. The radius of the circular path is R=3 mR = 3 \mathrm {~m}. The angular velocity of the point is ().
    • A.2πrad/s2 \pi \mathrm { rad } / \mathrm { s }
    • B.3πrad/s3 \pi \mathrm { rad } / \mathrm { s }
    • C.2rad/s2 \mathrm { rad } / \mathrm { s }
    • D.3rad/s3 \mathrm { rad } / \mathrm { s }
    Show answer & solution

    Answer: C

    1 For uniform circular motion: ω=v/R=6/3=2rad/s\omega = v / R = 6 / 3 = 2 \mathrm { rad } / \mathrm { s }.
    See it in the full CSCA Physics December 2025 Past Paper
  2. CSCA Physics March 2026 Past Paper
    An object in uniform circular motion has radius 0.5 m and period 2 s . Its linear speed is
    • A.0.5π m/s0.5 \pi \mathrm {~m} / \mathrm { s }
    • B.πm/s\pi \mathrm { m } / \mathrm { s }
    • C.1.5π m/s1.5 \pi \mathrm {~m} / \mathrm { s }
    • D.2π m/s2 \pi \mathrm {~m} / \mathrm { s }
    Show answer & solution

    Answer: A

    v=2πr/T=2π×0.5/2=0.5π m/s\mathrm { v } = 2 \pi \mathrm { r } / \mathrm { T } = 2 \pi \times 0.5 / 2 = 0.5 \pi \mathrm {~m} / \mathrm { s }. Answer: A.
    Take the full CSCA Physics March 2026 Past Paper — timed & graded
  3. CSCA Physics April 2026 Past Paper
    A particle undergoes uniform circular motion with linear speed v=4 m/sv = 4 \mathrm {~m} / \mathrm { s } and radius R=2 mR = 2 \mathrm {~m}. Its angular velocity is
    • A.2rad/s2 \mathrm { rad } / \mathrm { s }
    • B.8rad/s8 \mathrm { rad } / \mathrm { s }
    • C.4rad/s4 \mathrm { rad } / \mathrm { s }
    • D.1rad/s1 \mathrm { rad } / \mathrm { s }
    Show answer & solution

    Answer: A

    ω=vR=42=2rad/s\omega = \frac { v } { R } = \frac { 4 } { 2 } = 2 \mathrm { rad } / \mathrm { s }.
    Take the full CSCA Physics April 2026 Past Paper — timed & graded

Real-exam evidence

Recorded past-paper appearances are listed below; online verification is labelled separately.

11 questions across 4 sittings1 of 4 sittings available to verify free online

12 questions across 6 mock papers — our own papers, so a coverage signal rather than real-exam evidence

8 related practice questions availablePractise free: Circular Motion and Universal Gravitation

Sitting evidence comes from the CSCA past papers on record; questions whose original paper is missing are excluded, and sprint papers are deliberately not counted.

Glossary

Related concepts