Length of Constraint for Transverse Vibrations Calculator

✖Total Mass of Constraint is both a property of a physical body and a measure of its resistance to acceleration.ⓘ Total Mass of Constraint [m_c]			+10% -10%
✖Mass per Unit length is the mass of an object distributed over the unit length of the object.ⓘ Mass [m]			+10% -10%

✖Length of Constraint is a measure of distance.ⓘ Length of Constraint for Transverse Vibrations [l]

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Formula

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Length of Constraint for Transverse Vibrations

Formula

`"l" = "m"_{"c"}/"m"`

Example

`"7mm"="28kg"/"4000kg/m"`

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

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 a measure of distance.
Total Mass of Constraint - (Measured in Kilogram) - Total Mass of Constraint is both a property of a physical body and a measure of its resistance to acceleration.
Mass - (Measured in Kilogram per Meter) - Mass per Unit length is the mass of an object distributed over the unit length of the object.

STEP 1: Convert Input(s) to Base Unit

Total Mass of Constraint: 28 Kilogram --> 28 Kilogram No Conversion Required
Mass: 4000 Kilogram per Meter --> 4000 Kilogram per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = m_c/m --> 28/4000

Evaluating ... ...

l = 0.007

STEP 3: Convert Result to Output's Unit

0.007 Meter -->7 Millimeter (Check conversion here)

FINAL ANSWER

7 Millimeter <-- Length of Constraint

(Calculation completed in 00.004 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 » 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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< 6 Transverse Vibration Calculators

Velocity of Small Element for Transverse Vibrations

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)

Natural Frequency of Transverse Vibration

Go Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi)

Transverse Velocity of Free End

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

Total Mass of Constraint for Transverse Vibrations

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

Total Kinetic Energy of Constraint for Transverse Vibrations

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

Length of Constraint for Transverse Vibrations

Go Length of Constraint = Total Mass of Constraint/Mass

Length of Constraint for Transverse Vibrations Formula

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

What is transverse and longitudinal vibration?

The difference between transverse and longitudinal waves is the direction in which the waves shake. If the wave shakes perpendicular to the movement direction, it's a transverse wave, if it shakes in the movement direction, then it's a longitudinal wave.

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, The Length of constraint for transverse vibrations formula is defined as a measure of distance. Length is the term used for identifying the size of an object or distance from one point to Length is a measure of how long an object is or the distance between two points. 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 -> 2.3E+6 = 28/4000.

FAQ

What is Length of Constraint for Transverse Vibrations?

The Length of constraint for transverse vibrations formula is defined as a measure of distance. Length is the term used for identifying the size of an object or distance from one point to Length is a measure of how long an object is or the distance between two points and is represented as l = m_c/m or Length of Constraint = Total Mass of Constraint/Mass. Total Mass of Constraint is both a property of a physical body and a measure of its resistance to acceleration & Mass per Unit length is the mass of an object distributed over the unit length of the object.

How to calculate Length of Constraint for Transverse Vibrations?

The Length of constraint for transverse vibrations formula is defined as a measure of distance. Length is the term used for identifying the size of an object or distance from one point to Length is a measure of how long an object is or the distance between two points 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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