1. What is Angular Impulse?

Angular impulse is the rotational equivalent of linear impulse, representing the effect of a torque applied over a time interval. It causes a change in angular momentum of a rotating system.

2. How Does the Calculator Work?

The calculator uses the angular impulse equation:

Where:

• \( I \) — Angular impulse (kg·m²/s)
• \( m \) — Mass (kg)
• \( v \) — Velocity (m/s)
• \( r \) — Radius (m)
• \( \theta \) — Angle between velocity and radius vectors (degrees)

Explanation: The equation calculates the rotational effect of a force applied at an angle to a rotating system, with maximum impulse when θ = 90° (sin(90°) = 1).

3. Importance of Angular Impulse Calculation

Details: Angular impulse is crucial in analyzing rotational dynamics, collision mechanics, and designing mechanical systems where rotational motion is involved.

4. Using the Calculator

Tips: Enter mass in kg, velocity in m/s, radius in meters, and angle in degrees (0-180). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between angular impulse and linear impulse?
A: Angular impulse affects rotational motion (measured in kg·m²/s) while linear impulse affects straight-line motion (measured in kg·m/s or N·s).

Q2: When is angular impulse maximum?
A: Angular impulse is maximum when the angle θ is 90° (perpendicular), as sin(90°) = 1.

Q3: What are typical applications of angular impulse?
A: Used in analyzing collisions involving rotation, sports mechanics (e.g., golf swings), and mechanical engineering designs.

Q4: How does radius affect angular impulse?
A: Angular impulse increases linearly with radius - longer moment arms produce greater rotational effects for the same force.

Q5: Can angular impulse be negative?
A: The magnitude is always positive, but direction (sign) depends on the coordinate system and rotation direction.