Uniform circular motion and centripetal accelerationएकसमान वृत्तीय गति और अभिकेंद्र त्वरण

NCERT Fig 3.18 · interactive diagram

Parts and their functions

• Circular path, radius R (वृत्तीय पथ, त्रिज्या R) — Speed v is constant in uniform circular motion.
• Velocity v (tangent) (वेग v (स्पर्श-रेखीय)) — Always along the tangent, perpendicular to the radius. Its direction keeps changing.
• Centripetal acceleration a_c (अभिकेंद्र त्वरण a_c) — Points to the centre at every instant; magnitude v²/R = ω²R. Not a constant vector.
• Radius CP (त्रिज्या CP) — Turns through Δθ in time Δt.
• Angular displacement Δθ (कोणीय विस्थापन Δθ) — Angular speed ω = Δθ/Δt (rad s⁻¹).
• Arc Δs (चाप Δs) — Δs = R Δθ, so v = Δs/Δt = Rω.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 3.18. Report a mistake