1. What is Radius of Curvilinear Motion?

The radius of curvilinear motion is the distance from the center of rotation to the moving object. It is a fundamental parameter in circular motion calculations that determines the path curvature.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius (meters)
• \( v_{cm} \) — Velocity of curvilinear motion (m/s)
• \( \omega \) — Angular velocity (rad/s)

Explanation: The formula calculates the radius of the circular path by dividing the linear velocity by the angular velocity.

3. Importance of Radius Calculation

Details: Calculating the radius is crucial for understanding circular motion dynamics, designing mechanical systems, and analyzing rotational motion in physics and engineering applications.

4. Using the Calculator

Tips: Enter velocity in m/s and angular velocity in rad/s. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is curvilinear motion?
A: Curvilinear motion is the movement of an object along a curved path, which can be circular, elliptical, or any other curved trajectory.

Q2: How is angular velocity different from linear velocity?
A: Angular velocity measures how fast an object rotates around a fixed point (rad/s), while linear velocity measures how fast it moves along the path (m/s).

Q3: What are typical units for these measurements?
A: Velocity is typically measured in meters per second (m/s), angular velocity in radians per second (rad/s), and radius in meters (m).

Q4: Can this formula be used for non-circular motion?
A: This specific formula applies to circular motion. For other curvilinear paths, more complex calculations are needed.

Q5: What if the angular velocity is zero?
A: If angular velocity is zero, the object is not rotating, and the radius calculation becomes undefined (division by zero).