1. What is Linear Velocity?

Linear velocity is the rate of change of an object's position with respect to time along a straight path. It's a vector quantity with both magnitude and direction, commonly measured in meters per second (m/s).

2. How Does the Calculator Work?

The calculator uses the linear velocity formula:

Where:

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

Explanation: This formula relates the linear velocity of a point on a rotating object to its angular velocity and the distance from the axis of rotation.

3. Importance of Linear Velocity Calculation

Details: Calculating linear velocity is essential in various fields including mechanical engineering, physics, robotics, and automotive design. It helps determine the speed of objects in rotational motion and is crucial for designing safe and efficient mechanical systems.

4. Using the Calculator

Tips: Enter angular velocity in radians per second (rad/s) and radius in meters (m). Both values must be positive numbers greater than zero.

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 degrees per second instead of radians?
A: No, the formula requires angular velocity in radians per second. Convert degrees to radians first (1° = π/180 radians).

Q3: Does this formula work for any rotating object?
A: Yes, it applies to any point on a rigid body rotating about a fixed axis.

Q4: What if the object is not moving in a perfect circle?
A: This formula specifically applies to circular motion. For other paths, different calculations are needed.

Q5: How does radius affect linear velocity?
A: Points farther from the axis of rotation have higher linear velocity for the same angular velocity.