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Walchand College of Engineering (WCE), Sangli
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Curve length of Solid of Revolution Solution

STEP 0: Pre-Calculation Summary
Formula Used
curve_length_1 = (Lateral Surface Area 1/2*pi*Radius at curve centroid)
LCurve = (SALateral_1/2*pi*rCurveCentroid)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Lateral Surface Area 1 - Lateral Surface Area 1 is the area of the lateral surface of any shape or object. (Measured in Square Meter)
Radius at curve centroid - Radius at curve centroid is the radius measured at the centroid of a shape. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area 1: 817 Square Meter --> 817 Square Meter No Conversion Required
Radius at curve centroid: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LCurve = (SALateral_1/2*pi*rCurveCentroid) --> (817/2*pi*8)
Evaluating ... ...
LCurve = 10266.7247919314
STEP 3: Convert Result to Output's Unit
10266.7247919314 Meter --> No Conversion Required
FINAL ANSWER
10266.7247919314 Meter <-- Curve Length
(Calculation completed in 00.000 seconds)

3 Area under curve and Curve length of Solid of Revolution Calculators

Area under curve of Solid of Revolution
area_under_curve = (Lateral Surface Area 1+(((Top Radius+Bottom Radius)^2)*pi))/(2*pi*Radius at area centroid*Surface to Volume Ratio) Go
Curve length of Solid of Revolution
curve_length_1 = (Lateral Surface Area 1/2*pi*Radius at curve centroid) Go
Area under curve of Solid of Revolution given volume
area_under_curve = Volume Polyhedron/(2*pi*Radius at area centroid) Go

Curve length of Solid of Revolution Formula

curve_length_1 = (Lateral Surface Area 1/2*pi*Radius at curve centroid)
LCurve = (SALateral_1/2*pi*rCurveCentroid)

What is Solid of Revolution?

In mathematics, engineering, and manufacturing, a solid of revolution is a solid figure obtained by rotating a plane curve around some straight line that lies on the same plane.

How to Calculate Curve length of Solid of Revolution?

Curve length of Solid of Revolution calculator uses curve_length_1 = (Lateral Surface Area 1/2*pi*Radius at curve centroid) to calculate the Curve Length, Curve length of Solid of Revolution formula is defined as the distance between two points along a section of a curve of Solid of Revolution. Curve Length and is denoted by LCurve symbol.

How to calculate Curve length of Solid of Revolution using this online calculator? To use this online calculator for Curve length of Solid of Revolution, enter Lateral Surface Area 1 (SALateral_1) & Radius at curve centroid (rCurveCentroid) and hit the calculate button. Here is how the Curve length of Solid of Revolution calculation can be explained with given input values -> 10266.72 = (817/2*pi*8).

FAQ

What is Curve length of Solid of Revolution?
Curve length of Solid of Revolution formula is defined as the distance between two points along a section of a curve of Solid of Revolution and is represented as LCurve = (SALateral_1/2*pi*rCurveCentroid) or curve_length_1 = (Lateral Surface Area 1/2*pi*Radius at curve centroid). Lateral Surface Area 1 is the area of the lateral surface of any shape or object & Radius at curve centroid is the radius measured at the centroid of a shape.
How to calculate Curve length of Solid of Revolution?
Curve length of Solid of Revolution formula is defined as the distance between two points along a section of a curve of Solid of Revolution is calculated using curve_length_1 = (Lateral Surface Area 1/2*pi*Radius at curve centroid). To calculate Curve length of Solid of Revolution, you need Lateral Surface Area 1 (SALateral_1) & Radius at curve centroid (rCurveCentroid). With our tool, you need to enter the respective value for Lateral Surface Area 1 & Radius at curve centroid 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 Curve Length?
In this formula, Curve Length uses Lateral Surface Area 1 & Radius at curve centroid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • area_under_curve = Volume Polyhedron/(2*pi*Radius at area centroid)
  • area_under_curve = (Lateral Surface Area 1+(((Top Radius+Bottom Radius)^2)*pi))/(2*pi*Radius at area centroid*Surface to Volume Ratio)
  • curve_length_1 = (Lateral Surface Area 1/2*pi*Radius at curve centroid)
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