Length of Plumb Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body)
l = d/tan(θ)
This formula uses 1 Functions, 3 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Length of Plumb Line - (Measured in Meter) - Length of plumb line can be described as the length of the pendulum.
Distance Moved - (Measured in Meter) - Distance Moved can be described as the pendulum moved in a distance in horizontal scale.
Tiltting Angle of Body - (Measured in Radian) - Tiltting Angle of Body is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
STEP 1: Convert Input(s) to Base Unit
Distance Moved: 150 Meter --> 150 Meter No Conversion Required
Tiltting Angle of Body: 71.5 Degree --> 1.24791041517571 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = d/tan(θ) --> 150/tan(1.24791041517571)
Evaluating ... ...
l = 50.1892979253503
STEP 3: Convert Result to Output's Unit
50.1892979253503 Meter --> No Conversion Required
FINAL ANSWER
50.1892979253503 50.1893 Meter <-- Length of Plumb Line
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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3 Determination of Metacentric Height Calculators

Angle Made by Pendulum
Go Tiltting Angle of Body = atan(Distance Moved/Length of Plumb Line)
Distance Moved by Pendulum on Horizontal scale
Go Distance Moved = Length of Plumb Line*tan(Tiltting Angle of Body)
Length of Plumb Line
Go Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body)

Length of Plumb Line Formula

Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body)
l = d/tan(θ)

What is meant by distance?

Distance can be represented as the distance moved by the pendulum line in a horizontal direction scale

How to Calculate Length of Plumb Line?

Length of Plumb Line calculator uses Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body) to calculate the Length of Plumb Line, The Length of Plumb Line is a line (as of cord) that has at one end a weight (such as a plumb bob) and is used especially to determine verticality. Length of Plumb Line is denoted by l symbol.

How to calculate Length of Plumb Line using this online calculator? To use this online calculator for Length of Plumb Line, enter Distance Moved (d) & Tiltting Angle of Body (θ) and hit the calculate button. Here is how the Length of Plumb Line calculation can be explained with given input values -> 50.1893 = 150/tan(1.24791041517571).

FAQ

What is Length of Plumb Line?
The Length of Plumb Line is a line (as of cord) that has at one end a weight (such as a plumb bob) and is used especially to determine verticality and is represented as l = d/tan(θ) or Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body). Distance Moved can be described as the pendulum moved in a distance in horizontal scale & Tiltting Angle of Body is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Length of Plumb Line?
The Length of Plumb Line is a line (as of cord) that has at one end a weight (such as a plumb bob) and is used especially to determine verticality is calculated using Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body). To calculate Length of Plumb Line, you need Distance Moved (d) & Tiltting Angle of Body (θ). With our tool, you need to enter the respective value for Distance Moved & Tiltting Angle of Body 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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