Home
Back
Formula Used:
| From: | To: |
Radius in curvilinear motion refers to the distance from the center of curvature to the moving object. It is a crucial parameter in circular motion and other curved path movements, determining the relationship between linear and angular quantities.
The calculator uses the formula:
Where:
Explanation: This formula establishes the relationship between linear acceleration, angular acceleration, and the radius of curvature in circular motion.
Details: Calculating radius is essential in various physics and engineering applications, including mechanical design, vehicle dynamics, robotics, and analyzing rotational systems. It helps determine the curvature of paths and the forces involved in circular motion.
Tips: Enter the acceleration for curvilinear motion in m/s² and angular acceleration in rad/s². Both values must be positive numbers greater than zero for valid calculation.
Q1: What is curvilinear motion?
A: Curvilinear motion refers to the movement of an object along a curved path, such as circular, elliptical, or parabolic motion.
Q2: How is linear acceleration related to angular acceleration?
A: Linear acceleration (a) is related to angular acceleration (α) through the radius (r) by the formula: a = r × α.
Q3: What are typical units for these measurements?
A: Linear acceleration is measured in m/s², angular acceleration in rad/s², and radius in meters.
Q4: Can this formula be used for any curved motion?
A: This specific formula applies to circular motion where the radius of curvature is constant. For variable radius paths, more complex calculations are needed.
Q5: What if the angular acceleration is zero?
A: If angular acceleration is zero, the formula becomes undefined. This represents uniform circular motion where only centripetal acceleration exists.