Bottom and Top Angle of X Shape given Crossing Length Calculator

✖Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.ⓘ Bar Thickness of X Shape [t_Bar]			+10% -10%
✖The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape.ⓘ Crossing Length of X Shape [l_Crossing]			+10% -10%

✖The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.ⓘ Bottom and Top Angle of X Shape given Crossing Length [∠_Bottom/Top]

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Bottom and Top Angle of X Shape given Crossing Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape)))
∠_Bottom/Top = pi-(2*acos(t_Bar/(2*l_Crossing)))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)
acos - The inverse cosine 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., acos(Number)

Variables Used

Bottom and Top Angle of X Shape - (Measured in Radian) - The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.
Bar Thickness of X Shape - (Measured in Meter) - Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.
Crossing Length of X Shape - (Measured in Meter) - The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape.

STEP 1: Convert Input(s) to Base Unit

Bar Thickness of X Shape: 2 Meter --> 2 Meter No Conversion Required
Crossing Length of X Shape: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Bottom/Top = pi-(2*acos(t_Bar/(2*l_Crossing))) --> pi-(2*acos(2/(2*3)))

Evaluating ... ...

∠_Bottom/Top = 0.679673818908244

STEP 3: Convert Result to Output's Unit

0.679673818908244 Radian -->38.9424412689887 Degree (Check conversion here)

FINAL ANSWER

38.9424412689887 ≈ 38.94244 Degree <-- Bottom and Top Angle of X Shape

(Calculation completed in 00.020 seconds)

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Credits

Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Calculator and 10+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< Bottom and Top Angle of X Shape Calculators

Bottom and Top Angle of X Shape given Crossing Length

LaTeX Go Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape)))

Bottom and Top Angle of X Shape given Left or Right Angle

LaTeX Go Bottom and Top Angle of X Shape = pi-Left and Right Angle of X Shape

Bottom and Top Angle of X Shape given Crossing Length Formula

LaTeX Go

Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape)))
∠_Bottom/Top = pi-(2*acos(t_Bar/(2*l_Crossing)))

What is X Shape?

When a parallelogram shaped bar is reflected and connected with the original bar in the center then the formed shape is known as X shape. The intersection of both bars is a rhombus of which side length is called crossing length.

How to Calculate Bottom and Top Angle of X Shape given Crossing Length?

Bottom and Top Angle of X Shape given Crossing Length calculator uses Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape))) to calculate the Bottom and Top Angle of X Shape, The Bottom and Top Angle of X Shape given Crossing Length formula are defined as the angles of crossing on the bottom and topside in an X Shape, calculated using its crossing length. Bottom and Top Angle of X Shape is denoted by ∠_Bottom/Top symbol.

How to calculate Bottom and Top Angle of X Shape given Crossing Length using this online calculator? To use this online calculator for Bottom and Top Angle of X Shape given Crossing Length, enter Bar Thickness of X Shape (t_Bar) & Crossing Length of X Shape (l_Crossing) and hit the calculate button. Here is how the Bottom and Top Angle of X Shape given Crossing Length calculation can be explained with given input values -> 2231.238 = pi-(2*acos(2/(2*3))).

FAQ

What is Bottom and Top Angle of X Shape given Crossing Length?

The Bottom and Top Angle of X Shape given Crossing Length formula are defined as the angles of crossing on the bottom and topside in an X Shape, calculated using its crossing length and is represented as ∠_Bottom/Top = pi-(2*acos(t_Bar/(2*l_Crossing))) or Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape))). Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape & The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape.

How to calculate Bottom and Top Angle of X Shape given Crossing Length?

The Bottom and Top Angle of X Shape given Crossing Length formula are defined as the angles of crossing on the bottom and topside in an X Shape, calculated using its crossing length is calculated using Bottom and Top Angle of X Shape = pi-(2*acos(Bar Thickness of X Shape/(2*Crossing Length of X Shape))). To calculate Bottom and Top Angle of X Shape given Crossing Length, you need Bar Thickness of X Shape (t_Bar) & Crossing Length of X Shape (l_Crossing). With our tool, you need to enter the respective value for Bar Thickness of X Shape & Crossing Length of X Shape 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 Bottom and Top Angle of X Shape?

In this formula, Bottom and Top Angle of X Shape uses Bar Thickness of X Shape & Crossing Length of X Shape. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bottom and Top Angle of X Shape = pi-Left and Right Angle of X Shape

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