1. What is Linear Velocity?

Linear velocity is the rate of change of an object's position with respect to time when moving along a straight path. It's related to angular velocity through the radius of rotation.

2. How Does the Calculator Work?

The calculator uses the linear velocity formula:

Where:

• \( v \) — Linear velocity (m/s)
• \( r \) — Radius (m)
• \( \omega \) — Angular velocity (rad/s)

Explanation: The linear velocity of a point on a rotating object is equal to the product of the angular velocity and the distance from the rotation axis.

3. Importance of Linear Velocity Calculation

Details: Calculating linear velocity is essential in mechanical engineering, physics, and various applications involving rotational motion like wheels, gears, and turbines.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use this for any rotating object?
A: Yes, as long as you know the radius and angular velocity, this formula applies to any point on a rotating rigid body.

Q3: What if my angular velocity is in RPM?
A: Convert RPM to rad/s by multiplying by π/30 (1 RPM = π/30 rad/s) before using the calculator.

Q4: Does this work for non-circular motion?
A: This specific formula is for circular motion. For other paths, more complex calculations are needed.

Q5: How does radius affect linear velocity?
A: For a given angular velocity, points farther from the center have higher linear velocity (v increases with r).