Length of Constraint for Transverse Vibrations Calculator

✖Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.ⓘ Total Mass of Constraint [m_c]			+10% -10%
✖Mass is the measure of an object's resistance to changes in its motion, which affects its longitudinal and transverse vibrations under inertial constraints.ⓘ Mass [m]			+10% -10%

✖Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system.ⓘ Length of Constraint for Transverse Vibrations [l]

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Download Effect of Inertia of Constraint in Longitudinal and Transverse Vibrations Formulas PDF PDF Image

Length of Constraint for Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Constraint = Total Mass of Constraint/Mass
l = m_c/m
This formula uses 3 Variables

Variables Used

Length of Constraint - (Measured in Meter) - Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system.
Total Mass of Constraint - (Measured in Kilogram) - Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.
Mass - (Measured in Kilogram per Meter) - Mass is the measure of an object's resistance to changes in its motion, which affects its longitudinal and transverse vibrations under inertial constraints.

STEP 1: Convert Input(s) to Base Unit

Total Mass of Constraint: 28.125 Kilogram --> 28.125 Kilogram No Conversion Required
Mass: 3842.2 Kilogram per Meter --> 3842.2 Kilogram per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = m_c/m --> 28.125/3842.2

Evaluating ... ...

l = 0.00732002498568528

STEP 3: Convert Result to Output's Unit

0.00732002498568528 Meter -->7.32002498568528 Millimeter (Check conversion here)

FINAL ANSWER

7.32002498568528 ≈ 7.320025 Millimeter <-- Length of Constraint

(Calculation completed in 00.008 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Effect of Inertia of Constraint in Longitudinal and Transverse Vibrations » Mechanical » Transverse Vibration » Length of Constraint for Transverse Vibrations

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< Transverse Vibration Calculators

Velocity of Small Element for Transverse Vibrations

LaTeX Go Velocity of Small Element = ((3*Length of Constraint*Distance between Small Element and Fixed End^2-Distance between Small Element and Fixed End^3)*Transverse Velocity of Free End)/(2*Length of Constraint^3)

Transverse Velocity of Free End

LaTeX Go Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint))

Total Mass of Constraint for Transverse Vibrations

LaTeX Go Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2)

Total Kinetic Energy of Constraint for Transverse Vibrations

LaTeX Go Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280

Length of Constraint for Transverse Vibrations Formula

LaTeX Go

Length of Constraint = Total Mass of Constraint/Mass
l = m_c/m

What is Transverse Vibration?

Transverse vibration occurs when the particles of a medium vibrate perpendicular to the direction of wave propagation. This creates alternating peaks and troughs. Examples of transverse vibration include waves on a guitar string, electromagnetic waves, and light waves.

How to Calculate Length of Constraint for Transverse Vibrations?

Length of Constraint for Transverse Vibrations calculator uses Length of Constraint = Total Mass of Constraint/Mass to calculate the Length of Constraint, Length of Constraint for Transverse Vibrations formula is defined as a measure of the length of a constraint in a system undergoing transverse vibrations, which is affected by the inertia of the constraint and is crucial in understanding the behavior of longitudinal and transverse vibrations. Length of Constraint is denoted by l symbol.

How to calculate Length of Constraint for Transverse Vibrations using this online calculator? To use this online calculator for Length of Constraint for Transverse Vibrations, enter Total Mass of Constraint (m_c) & Mass (m) and hit the calculate button. Here is how the Length of Constraint for Transverse Vibrations calculation can be explained with given input values -> 7319.834 = 28.125/3842.2.

FAQ

What is Length of Constraint for Transverse Vibrations?

Length of Constraint for Transverse Vibrations formula is defined as a measure of the length of a constraint in a system undergoing transverse vibrations, which is affected by the inertia of the constraint and is crucial in understanding the behavior of longitudinal and transverse vibrations and is represented as l = m_c/m or Length of Constraint = Total Mass of Constraint/Mass. Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia & Mass is the measure of an object's resistance to changes in its motion, which affects its longitudinal and transverse vibrations under inertial constraints.

How to calculate Length of Constraint for Transverse Vibrations?

Length of Constraint for Transverse Vibrations formula is defined as a measure of the length of a constraint in a system undergoing transverse vibrations, which is affected by the inertia of the constraint and is crucial in understanding the behavior of longitudinal and transverse vibrations is calculated using Length of Constraint = Total Mass of Constraint/Mass. To calculate Length of Constraint for Transverse Vibrations, you need Total Mass of Constraint (m_c) & Mass (m). With our tool, you need to enter the respective value for Total Mass of Constraint & Mass 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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