Rotational Dynamics Simulation
Hollow Cylinder with Rope
Simulation Parameters
3
kg
40
cm
30
N
Physics Calculation
1
Moment of inertia of hollow cylinder:
I = m × r² = 3 kg × (0.4 m)² = 0.48 kg·m²
2
Torque applied by the rope:
τ = F × r = 30 N × 0.4 m = 12 N·m
3
Angular acceleration (τ = Iα):
α = τ / I = 12 N·m / 0.48 kg·m² = 25 rad/s²
4
Linear acceleration of rope (a = rα):
a = 0.4 m × 25 rad/s² = 10 m/s²
Angular acceleration: 25 rad/s²
Linear acceleration: 10 m/s²
