1. What is Speed From Angular Velocity?

Definition: This calculator determines the linear speed of an object moving in a circular path based on its angular velocity and radius.

Purpose: It helps in physics, engineering, and mechanical applications where rotational motion needs to be converted to linear speed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( v \) — Linear speed (meters/second)
• \( \omega \) — Angular velocity (radians/second)
• \( r \) — Radius of circular path (meters)

Explanation: The angular velocity (how fast something rotates) multiplied by the radius (distance from center) gives the linear speed at that point.

3. Importance of Speed Calculation

Details: Understanding this relationship is crucial for designing rotating machinery, analyzing circular motion, and solving physics problems.

4. Using the Calculator

Tips: Enter the angular velocity in radians per second and the radius in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between angular and linear velocity?
A: Angular velocity measures rotation rate (rad/s), while linear velocity measures straight-line speed (m/s).

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (1 RPM = 0.10472 rad/s).

Q3: Does this work for any point on a rotating object?
A: Yes, but remember speed increases with radius - points farther from the center move faster.

Q4: What if my radius is in cm instead of meters?
A: Convert to meters first (divide cm by 100) for accurate results.

Q5: Can I use this for planetary motion?
A: Yes, it applies to any circular motion, though planetary orbits are often elliptical.