Memorise all forms of ω: Δθ/Δt, 2π/T, 2πn, and 2πN/60 — and practice conversions NEET gives problems in terms of rpm (most practical), frequency (Hz), time period (s), or directly in rad/s. Conversions: 1 rpm = 2π/60 rad/s ≈ 0.1047 rad/s; 60 rpm = 2π rad/s ≈ 6.28 rad/s; 1 Hz = 2π rad/s. A wheel at 300 rpm: ω = 2π × 300/60 = 10π rad/s. Write the conversion formula and practise inverting it: time period T = 2π/ω; frequency n = ω/(2π) = N/60.

Apply v = ωr correctly — ω is the same for all particles, but v differs with r In a rigid body, all particles have the same angular velocity ω but different linear speeds v = ωr (since r differs). The rim of a wheel moves faster than a point midway between the rim and the axis, though both complete one revolution in the same time. NEET tests: 'Compare the linear velocity of two points on a rotating wheel at different radii' — use v₁/v₂ = r₁/r₂ at constant ω.

Know the vector direction of ω and distinguish angular speed from angular velocity Angular velocity ω is an axial vector: its direction is along the axis of rotation, determined by the right-hand rule (curl fingers in direction of rotation; thumb points in ω direction). The magnitude of angular velocity is called the angular speed (also written ω). NEET tests: 'What is the SI unit of angular speed?' — answer: rad/s (same as angular velocity, since speed = magnitude of velocity).