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The breadth of a torus is defined as the horizontal distance from the leftmost point to the rightmost point of the torus. The formula calculates this measurement based on the radius of the torus and its surface to volume ratio.
The calculator uses the formula:
Where:
Explanation: The formula calculates the total width of the torus by adding the radius to twice the inverse of the surface to volume ratio, then doubling the result.
Details: Calculating the breadth of a torus is important in various engineering and mathematical applications, particularly in geometry, architecture, and mechanical design where toroidal shapes are used.
Tips: Enter the radius of the torus in meters and the surface to volume ratio in 1/meters. Both values must be positive numbers greater than zero.
Q1: What is a torus?
A: A torus is a three-dimensional shape resembling a doughnut or inner tube, formed by revolving a circle in three-dimensional space about an axis coplanar with the circle.
Q2: How is surface to volume ratio defined for a torus?
A: The surface to volume ratio of a torus is the ratio of its total surface area to its volume, typically expressed in units of 1/meter.
Q3: What are typical applications of torus calculations?
A: Torus calculations are used in various fields including architecture (designing arches and domes), engineering (designing pipes and rings), and physics (modeling magnetic fields).
Q4: Can this formula be used for any torus size?
A: Yes, the formula is valid for all torus sizes as long as the inputs are positive values and the surface to volume ratio is properly calculated.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of a torus, assuming perfect toroidal shape and accurate input values.