Angle of Intersection of Torus Sector given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Intersection of Torus Sector = (Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)))*(2*pi)
Intersection = (VSector/(2*(pi^2)*(r)*(rCircular Section^2)))*(2*pi)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angle of Intersection of Torus Sector - (Measured in Radian) - Angle of Intersection of Torus Sector is the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained.
Volume of Torus Sector - (Measured in Cubic Meter) - Volume of Torus Sector is the amount of three dimensional space occupied by Torus Sector.
Radius of Torus - (Measured in Meter) - Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.
Radius of Circular Section of Torus - (Measured in Meter) - Radius of Circular Section of Torus is the line connecting the center of the circular cross section to any point on the circumference of the circular cross section of the Torus.
STEP 1: Convert Input(s) to Base Unit
Volume of Torus Sector: 1050 Cubic Meter --> 1050 Cubic Meter No Conversion Required
Radius of Torus: 10 Meter --> 10 Meter No Conversion Required
Radius of Circular Section of Torus: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Intersection = (VSector/(2*(pi^2)*(r)*(rCircular Section^2)))*(2*pi) --> (1050/(2*(pi^2)*(10)*(8^2)))*(2*pi)
Evaluating ... ...
Intersection = 0.522227157020282
STEP 3: Convert Result to Output's Unit
0.522227157020282 Radian -->29.9214120443835 Degree (Check conversion here)
FINAL ANSWER
29.9214120443835 29.92141 Degree <-- Angle of Intersection of Torus Sector
(Calculation completed in 00.020 seconds)

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2 Angle of Intersection of Torus Sector Calculators

Angle of Intersection of Torus Sector
Go Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(2*pi)
Angle of Intersection of Torus Sector given Volume
Go Angle of Intersection of Torus Sector = (Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)))*(2*pi)

Angle of Intersection of Torus Sector given Volume Formula

Angle of Intersection of Torus Sector = (Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)))*(2*pi)
Intersection = (VSector/(2*(pi^2)*(r)*(rCircular Section^2)))*(2*pi)

What is Torus Sector?

Torus Sector is a piece cut straight out of a torus. The size of the piece is determined by the angle of intersection originating at the center. An angle of 360° covers the whole torus.

What is Torus?

In geometry, a Torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.

How to Calculate Angle of Intersection of Torus Sector given Volume?

Angle of Intersection of Torus Sector given Volume calculator uses Angle of Intersection of Torus Sector = (Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)))*(2*pi) to calculate the Angle of Intersection of Torus Sector, Angle of Intersection of Torus Sector given Volume formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained, calculated using volume of Torus Sector. Angle of Intersection of Torus Sector is denoted by Intersection symbol.

How to calculate Angle of Intersection of Torus Sector given Volume using this online calculator? To use this online calculator for Angle of Intersection of Torus Sector given Volume, enter Volume of Torus Sector (VSector), Radius of Torus (r) & Radius of Circular Section of Torus (rCircular Section) and hit the calculate button. Here is how the Angle of Intersection of Torus Sector given Volume calculation can be explained with given input values -> 1714.371 = (1050/(2*(pi^2)*(10)*(8^2)))*(2*pi).

FAQ

What is Angle of Intersection of Torus Sector given Volume?
Angle of Intersection of Torus Sector given Volume formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained, calculated using volume of Torus Sector and is represented as Intersection = (VSector/(2*(pi^2)*(r)*(rCircular Section^2)))*(2*pi) or Angle of Intersection of Torus Sector = (Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)))*(2*pi). Volume of Torus Sector is the amount of three dimensional space occupied by Torus Sector, Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus & Radius of Circular Section of Torus is the line connecting the center of the circular cross section to any point on the circumference of the circular cross section of the Torus.
How to calculate Angle of Intersection of Torus Sector given Volume?
Angle of Intersection of Torus Sector given Volume formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained, calculated using volume of Torus Sector is calculated using Angle of Intersection of Torus Sector = (Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)))*(2*pi). To calculate Angle of Intersection of Torus Sector given Volume, you need Volume of Torus Sector (VSector), Radius of Torus (r) & Radius of Circular Section of Torus (rCircular Section). With our tool, you need to enter the respective value for Volume of Torus Sector, Radius of Torus & Radius of Circular Section of Torus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angle of Intersection of Torus Sector?
In this formula, Angle of Intersection of Torus Sector uses Volume of Torus Sector, Radius of Torus & Radius of Circular Section of Torus. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(2*pi)
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