Ace Chapter 3 Circular and Rotational Motion (New Course 2025-2026) with hsanotes.com notes – guaranteed 90+ marks in Punjab Board exams!
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Solved MCQs
- Ratio of angular speed (minute:hour hand): 12:1
Solved Short Questions
- Prove v = rω → s = rθ → v = ds/dt = r dθ/dt = rω
- Prove a = rα → v = rω → a = dv/dt = r dω/dt = rα
Solved Numerical Problems
- Laser divergence: d=2.5 m, D=3.8×10⁸ m → θ = 2.5 / 3.8×10⁸ = 6.6×10⁻⁹ rad
- Car wheel: v=108 km/h=30 m/s, r=0.3 m → ω=100 rad/s, f≈16 rev/s
- Motor stop: ω₀=1800 rpm=30 rev/s, t=20 s → θ=300 rev
- Vertical circle max speed: r=0.5 m, T_max=35.6 N, m=0.5 kg → v≈5.5 m/s
- Flywheel torque: ω₀=2100 rpm=70π rad/s, t=180 s, I=38 kg·m² → τ≈44 N·m
- Sphere I: M=200 kg, R=0.3 m → I=(2/5)MR²=7.2 kg·m²
- Satellite speed: r=6.6×10⁶ m → v≈7.77 km/s
- Artificial gravity: r=20 m, ω=0.5 rad/s → a=5 m/s²
- I from L: L=10 kg·m²/s, ω=2 rad/s → I=5 kg·m²
- Diver: I₁=18, I₂=3.6 kg·m², ω₂=4π rad/s, t=1.5 s → θ=0.6 rev
View full PDF for complete diagrams, tables, extra MCQs/shorts & examples.
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