Angular Displacement Calculator
Rotational Motion Analysis
Calculate angular displacement, velocity, and acceleration for rotating objects and circular motion.
Calculator
Formula:
Δθ = θ₂ - θ₁
About Angular Displacement
Angular displacement is the angle through which an object rotates about a fixed axis.
Symbol:
Δθ (theta)
Units:
Radians, degrees, revolutions
Features
- Basic displacement (θ₂ - θ₁)
- Constant velocity motion
- Constant acceleration motion
- Multiple angle units
- Angular velocity calculation
- Final velocity calculation
- Real-world examples
- Copy results
Formulas
Basic:
Δθ = θ₂ - θ₁
Constant Velocity:
Δθ = ωt
Constant Acceleration:
Δθ = ω₀t + ½αt²
Final Velocity:
ω = ω₀ + αt
Unit Conversions
1 revolution:
= 2π rad ≈ 6.283 rad
= 360°
1 radian:
≈ 57.296°
≈ 0.159 rev
1 degree:
≈ 0.01745 rad
≈ 0.00278 rev
Applications
- Rotating machinery (motors, turbines)
- Wheels and gears
- Planetary motion
- Pendulums and oscillations
- Robotics (joint rotation)
- Sports (golf swing, baseball pitch)
- Engineering design
- Physics education
Key Concepts
Important Terms:
Angular Velocity (ω): Rate of change of angle (rad/s)
Angular Acceleration (α): Rate of change of angular velocity (rad/s²)
Period (T): Time for one complete revolution
Frequency (f): Number of revolutions per second (Hz)
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