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Radial Distance Given Centripetal Acceleration From Axis Calculator

Formula Used:

\[ dr = \frac{ac}{\omega^2} \]

m/s²
rad/s

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1. What is Radial Distance from Central Axis?

Radial distance from central axis is defined as the distance between the whisker sensor's pivot point to the whisker-object contact point in rotational systems. It represents how far an object is from the center of rotation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ dr = \frac{ac}{\omega^2} \]

Where:

Explanation: This formula calculates the radial distance based on the centripetal acceleration and angular velocity of a rotating object.

3. Importance of Radial Distance Calculation

Details: Calculating radial distance is crucial for understanding rotational dynamics, designing mechanical systems with rotating components, and analyzing circular motion in physics and engineering applications.

4. Using the Calculator

Tips: Enter centripetal acceleration in m/s² 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 centripetal acceleration?
A: Centripetal acceleration is the property of the motion of a body traversing a circular path, directed toward the center of rotation.

Q2: How is angular velocity measured?
A: Angular velocity is measured in radians per second (rad/s) and indicates how fast an object rotates or revolves relative to another point.

Q3: What are typical applications of this calculation?
A: This calculation is used in robotics (whisker sensors), mechanical engineering (rotating machinery), physics experiments, and any system involving circular motion.

Q4: Can this formula be used for any rotating object?
A: Yes, this formula applies to any object in uniform circular motion where centripetal acceleration and angular velocity are known.

Q5: What units should be used for accurate results?
A: For consistent results, use meters per second squared (m/s²) for centripetal acceleration and radians per second (rad/s) for angular velocity.

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