Bent Angle of Sharp Bent Cylinder Calculator

✖First Long Height of Sharp Bent Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder.ⓘ First Long Height of Sharp Bent Cylinder [h_1(Long)]			+10% -10%
✖First Short Height of Sharp Bent Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder.ⓘ First Short Height of Sharp Bent Cylinder [h_1(Short)]			+10% -10%
✖Bent Diameter of Sharp Bent Cylinder is the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Sharp Bent Cylinder.ⓘ Bent Diameter of Sharp Bent Cylinder [D_Bent]			+10% -10%
✖Radius of Sharp Bent Cylinder is the distance between the center and any point on the circumference of the base circular face of the Sharp Bent Cylinder.ⓘ Radius of Sharp Bent Cylinder [r]			+10% -10%

✖Bent Angle of Sharp Bent Cylinder is the angle made by the short heights of Sharp Bent Cylinder.ⓘ Bent Angle of Sharp Bent Cylinder [∠_Bent]

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Bent Angle of Sharp Bent Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bent Angle of Sharp Bent Cylinder = 2*arccos((((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)^2)+(Bent Diameter of Sharp Bent Cylinder^2)-(4*(Radius of Sharp Bent Cylinder^2)))/(2*(First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)*Bent Diameter of Sharp Bent Cylinder))
∠_Bent = 2*arccos((((h_1(Long)-h_1(Short))^2)+(D_Bent^2)-(4*(r^2)))/(2*(h_1(Long)-h_1(Short))*D_Bent))
This formula uses 2 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)

Variables Used

Bent Angle of Sharp Bent Cylinder - (Measured in Radian) - Bent Angle of Sharp Bent Cylinder is the angle made by the short heights of Sharp Bent Cylinder.
First Long Height of Sharp Bent Cylinder - (Measured in Meter) - First Long Height of Sharp Bent Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder.
First Short Height of Sharp Bent Cylinder - (Measured in Meter) - First Short Height of Sharp Bent Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder.
Bent Diameter of Sharp Bent Cylinder - (Measured in Meter) - Bent Diameter of Sharp Bent Cylinder is the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Sharp Bent Cylinder.
Radius of Sharp Bent Cylinder - (Measured in Meter) - Radius of Sharp Bent Cylinder is the distance between the center and any point on the circumference of the base circular face of the Sharp Bent Cylinder.

STEP 1: Convert Input(s) to Base Unit

First Long Height of Sharp Bent Cylinder: 12 Meter --> 12 Meter No Conversion Required
First Short Height of Sharp Bent Cylinder: 5 Meter --> 5 Meter No Conversion Required
Bent Diameter of Sharp Bent Cylinder: 14 Meter --> 14 Meter No Conversion Required
Radius of Sharp Bent Cylinder: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Bent = 2*arccos((((h_1(Long)-h_1(Short))^2)+(D_Bent^2)-(4*(r^2)))/(2*(h_1(Long)-h_1(Short))*D_Bent)) --> 2*arccos((((12-5)^2)+(14^2)-(4*(6^2)))/(2*(12-5)*14))

Evaluating ... ...

∠_Bent = 2.05886303215227

STEP 3: Convert Result to Output's Unit

2.05886303215227 Radian -->117.964162337855 Degree (Check conversion here)

FINAL ANSWER

117.964162337855 ≈ 117.9642 Degree <-- Bent Angle of Sharp Bent Cylinder

(Calculation completed in 00.004 seconds)

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< Bent Angle of Sharp Bent Cylinder Calculators

Bent Angle of Sharp Bent Cylinder

LaTeX Go Bent Angle of Sharp Bent Cylinder = 2*arccos((((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)^2)+(Bent Diameter of Sharp Bent Cylinder^2)-(4*(Radius of Sharp Bent Cylinder^2)))/(2*(First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)*Bent Diameter of Sharp Bent Cylinder))

Bent Angle of Sharp Bent Cylinder Formula

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What is a Sharp Bent Cylinder?

Sharp Bent Cylinder is made of two cut cylinders with equal radius and difference between long and short height. They are connected with each other at their elliptic surfaces. The smaller the difference between long and short height is, the larger is the bent angle, this is between 0 and 180 degrees.

How to Calculate Bent Angle of Sharp Bent Cylinder?

Bent Angle of Sharp Bent Cylinder calculator uses Bent Angle of Sharp Bent Cylinder = 2*arccos((((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)^2)+(Bent Diameter of Sharp Bent Cylinder^2)-(4*(Radius of Sharp Bent Cylinder^2)))/(2*(First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)*Bent Diameter of Sharp Bent Cylinder)) to calculate the Bent Angle of Sharp Bent Cylinder, Bent Angle of Sharp Bent Cylinder formula is defined as the angle made by the short heights of Sharp Bent Cylinder. Bent Angle of Sharp Bent Cylinder is denoted by ∠_Bent symbol.

How to calculate Bent Angle of Sharp Bent Cylinder using this online calculator? To use this online calculator for Bent Angle of Sharp Bent Cylinder, enter First Long Height of Sharp Bent Cylinder (h_1(Long)), First Short Height of Sharp Bent Cylinder (h_1(Short)), Bent Diameter of Sharp Bent Cylinder (D_Bent) & Radius of Sharp Bent Cylinder (r) and hit the calculate button. Here is how the Bent Angle of Sharp Bent Cylinder calculation can be explained with given input values -> 6758.849 = 2*arccos((((12-5)^2)+(14^2)-(4*(6^2)))/(2*(12-5)*14)).

FAQ

What is Bent Angle of Sharp Bent Cylinder?

Bent Angle of Sharp Bent Cylinder formula is defined as the angle made by the short heights of Sharp Bent Cylinder and is represented as ∠_Bent = 2*arccos((((h_1(Long)-h_1(Short))^2)+(D_Bent^2)-(4*(r^2)))/(2*(h_1(Long)-h_1(Short))*D_Bent)) or Bent Angle of Sharp Bent Cylinder = 2*arccos((((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)^2)+(Bent Diameter of Sharp Bent Cylinder^2)-(4*(Radius of Sharp Bent Cylinder^2)))/(2*(First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)*Bent Diameter of Sharp Bent Cylinder)). First Long Height of Sharp Bent Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder, First Short Height of Sharp Bent Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the first cut cylinder of Sharp Bent Cylinder, Bent Diameter of Sharp Bent Cylinder is the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Sharp Bent Cylinder & Radius of Sharp Bent Cylinder is the distance between the center and any point on the circumference of the base circular face of the Sharp Bent Cylinder.

How to calculate Bent Angle of Sharp Bent Cylinder?

Bent Angle of Sharp Bent Cylinder formula is defined as the angle made by the short heights of Sharp Bent Cylinder is calculated using Bent Angle of Sharp Bent Cylinder = 2*arccos((((First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)^2)+(Bent Diameter of Sharp Bent Cylinder^2)-(4*(Radius of Sharp Bent Cylinder^2)))/(2*(First Long Height of Sharp Bent Cylinder-First Short Height of Sharp Bent Cylinder)*Bent Diameter of Sharp Bent Cylinder)). To calculate Bent Angle of Sharp Bent Cylinder, you need First Long Height of Sharp Bent Cylinder (h_1(Long)), First Short Height of Sharp Bent Cylinder (h_1(Short)), Bent Diameter of Sharp Bent Cylinder (D_Bent) & Radius of Sharp Bent Cylinder (r). With our tool, you need to enter the respective value for First Long Height of Sharp Bent Cylinder, First Short Height of Sharp Bent Cylinder, Bent Diameter of Sharp Bent Cylinder & Radius of Sharp Bent Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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