Angular Acceleration Simulation
This simulation demonstrates the angular acceleration of a motor wheel as its speed increases from 1200 rpm to 3120 rpm in 16 seconds.
Time: 0 s
Initial Angular Speed (ω₀):
40π rad/s (1200 rpm)
Final Angular Speed (ω):
104π rad/s (3120 rpm)
Angular Acceleration (α):
4π rad/s²
Current Angular Speed:
40π rad/s
Total Revolutions:
0
Angular Displacement (θ):
0 rad
Understanding the Problem
The motor wheel's angular speed increases uniformly from 1200 rpm to 3120 rpm in 16 seconds. We need to calculate:
- The angular acceleration (α)
- The total number of revolutions made during this time
Key Formulas Used
1. Convert rpm to rad/s: ω (rad/s) = (2π × rpm) / 60
2. Angular acceleration: α = (ω - ω₀) / t
3. Angular displacement: θ = ω₀t + ½αt²
4. Revolutions = θ / (2π)
