Home
Back
Velocity of Curvilinear Motion Formula:
| From: | To: |
Velocity of Curvilinear Motion is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time when the object is moving along a curved path.
The calculator uses the formula:
Where:
Explanation: The linear velocity of an object moving in a circular path is equal to the product of its angular velocity and the radius of the circular path.
Details: Calculating velocity in curvilinear motion is essential for understanding circular motion dynamics, designing rotating machinery, analyzing planetary motion, and various engineering applications involving rotational systems.
Tips: Enter angular velocity in radians per second and radius in meters. Both values must be positive numbers greater than zero.
Q1: What is the difference between linear velocity and angular velocity?
A: Linear velocity measures how fast an object is moving along a path (m/s), while angular velocity measures how fast an object is rotating (rad/s).
Q2: Can this formula be used for any curved path?
A: This specific formula \( v = \omega \times r \) applies specifically to circular motion. For other curvilinear paths, different mathematical approaches are needed.
Q3: What are typical units for angular velocity?
A: Angular velocity is typically measured in radians per second (rad/s), but can also be expressed in revolutions per minute (RPM) or degrees per second.
Q4: How does radius affect the velocity?
A: For a constant angular velocity, the linear velocity increases proportionally with the radius. Objects farther from the center move faster.
Q5: Is velocity in curvilinear motion constant?
A: The magnitude of velocity (speed) can be constant in uniform circular motion, but the direction is always changing, making it accelerated motion.