Total Mass of Constraint for Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2)
mc = (280*KE)/(33*Vtraverse^2)
This formula uses 3 Variables
Variables Used
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.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
Transverse Velocity of Free End - (Measured in Meter per Second) - The Transverse Velocity of Free End is the component of an object's velocity that is perpendicular to our line of sight.
STEP 1: Convert Input(s) to Base Unit
Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Transverse Velocity of Free End: 6 Meter per Second --> 6 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mc = (280*KE)/(33*Vtraverse^2) --> (280*75)/(33*6^2)
Evaluating ... ...
mc = 17.6767676767677
STEP 3: Convert Result to Output's Unit
17.6767676767677 Kilogram --> No Conversion Required
FINAL ANSWER
17.6767676767677 17.67677 Kilogram <-- Total Mass of Constraint
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
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

Total Mass of Constraint for Transverse Vibrations Formula

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

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 Total Mass of Constraint for Transverse Vibrations?

Total Mass of Constraint for Transverse Vibrations calculator uses Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2) to calculate the Total Mass of Constraint, The Total mass of constraint for transverse vibrations formula is defined as both a property of a physical body and a measure of its resistance to acceleration. Total Mass of Constraint is denoted by mc symbol.

How to calculate Total Mass of Constraint for Transverse Vibrations using this online calculator? To use this online calculator for Total Mass of Constraint for Transverse Vibrations, enter Kinetic Energy (KE) & Transverse Velocity of Free End (Vtraverse) and hit the calculate button. Here is how the Total Mass of Constraint for Transverse Vibrations calculation can be explained with given input values -> 17.67677 = (280*75)/(33*6^2).

FAQ

What is Total Mass of Constraint for Transverse Vibrations?
The Total mass of constraint for transverse vibrations formula is defined as both a property of a physical body and a measure of its resistance to acceleration and is represented as mc = (280*KE)/(33*Vtraverse^2) or Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes & The Transverse Velocity of Free End is the component of an object's velocity that is perpendicular to our line of sight.
How to calculate Total Mass of Constraint for Transverse Vibrations?
The Total mass of constraint for transverse vibrations formula is defined as both a property of a physical body and a measure of its resistance to acceleration is calculated using Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2). To calculate Total Mass of Constraint for Transverse Vibrations, you need Kinetic Energy (KE) & Transverse Velocity of Free End (Vtraverse). With our tool, you need to enter the respective value for Kinetic Energy & Transverse Velocity of Free End 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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