1. What is Centripetal Acceleration of Fluid Particle?

Centripetal Acceleration of Fluid Particle is defined as the tendency of the particle to move in circular motion when experiencing centripetal force towards the centre. It occurs when a fluid particle rotates with constant angular velocity around a fixed axis.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a_c \) — Centripetal Acceleration (m/s²)
• \( r \) — Distance of Fluid Particle from Axis of Rotation (m)
• \( \omega \) — Angular Velocity (rad/s)

Explanation: The formula calculates the acceleration experienced by a fluid particle moving in a circular path, directed toward the center of rotation.

3. Importance of Centripetal Acceleration Calculation

Details: Calculating centripetal acceleration is crucial for understanding fluid dynamics in rotating systems, designing centrifugal equipment, and analyzing forces in rotating fluid applications.

4. Using the Calculator

Tips: Enter the distance of fluid particle from axis of rotation in meters and angular velocity in radians per second. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the direction of centripetal acceleration?
A: Centripetal acceleration is always directed toward the center of the circular path.

Q2: How does angular velocity affect centripetal acceleration?
A: Centripetal acceleration increases with the square of angular velocity, making it highly sensitive to rotational speed.

Q3: What are typical applications of this calculation?
A: This calculation is used in centrifugal pumps, turbines, mixers, and any rotating fluid machinery design.

Q4: How does distance from axis affect centripetal acceleration?
A: Centripetal acceleration increases linearly with distance from the axis of rotation.

Q5: What units should be used for accurate results?
A: Use meters for distance and radians per second for angular velocity to get acceleration in m/s².