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Longest Interval Of Annulus Given Breadth And Inner Circle Radius Calculator

Formula Used:

\[ l = 2 \times \sqrt{b \times (b + 2 \times r_{Inner})} \]

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1. What is Longest Interval of Annulus?

The Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle. It represents the maximum distance between two points on the outer circle that doesn't intersect the inner circle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l = 2 \times \sqrt{b \times (b + 2 \times r_{Inner})} \]

Where:

Explanation: This formula calculates the longest chord of the annulus that is tangent to the inner circle, using the breadth and inner radius of the annulus.

3. Importance of Longest Interval Calculation

Details: Calculating the longest interval of an annulus is important in various engineering and geometric applications, particularly in mechanical design, architecture, and material science where annular shapes are used.

4. Using the Calculator

Tips: Enter the breadth of the annulus and the inner circle radius in meters. Both values must be positive numbers. The calculator will compute the longest interval of the annulus.

5. Frequently Asked Questions (FAQ)

Q1: What is an annulus?
A: An annulus is a ring-shaped object, the region bounded by two concentric circles.

Q2: How is the breadth of annulus defined?
A: The breadth of annulus is the shortest distance between the outer and inner circles, equal to the difference between their radii.

Q3: Can this formula be used for any annulus?
A: Yes, this formula applies to all annular shapes where the inner and outer circles are concentric.

Q4: What are practical applications of this calculation?
A: This calculation is useful in designing mechanical parts like washers, pipes, bearings, and in architectural elements that use annular shapes.

Q5: How accurate is this formula?
A: The formula is mathematically exact for perfect annular shapes with concentric circles.

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