Total Kinetic Energy of Constraint for Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280
KE = (33*mc*Vtraverse^2)/280
This formula uses 3 Variables
Variables Used
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.
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.
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
Total Mass of Constraint: 28 Kilogram --> 28 Kilogram 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
KE = (33*mc*Vtraverse^2)/280 --> (33*28*6^2)/280
Evaluating ... ...
KE = 118.8
STEP 3: Convert Result to Output's Unit
118.8 Joule --> No Conversion Required
FINAL ANSWER
118.8 Joule <-- Kinetic Energy
(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 Kinetic Energy of Constraint for Transverse Vibrations Formula

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

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 Kinetic Energy of Constraint for Transverse Vibrations?

Total Kinetic Energy of Constraint for Transverse Vibrations calculator uses Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280 to calculate the Kinetic Energy, The Total kinetic energy of constraint for transverse vibrations formula is defined as the energy that it possesses due to its motion. Kinetic Energy is denoted by KE symbol.

How to calculate Total Kinetic Energy of Constraint for Transverse Vibrations using this online calculator? To use this online calculator for Total Kinetic Energy of Constraint for Transverse Vibrations, enter Total Mass of Constraint (mc) & Transverse Velocity of Free End (Vtraverse) and hit the calculate button. Here is how the Total Kinetic Energy of Constraint for Transverse Vibrations calculation can be explained with given input values -> 14.42571 = (33*28*6^2)/280.

FAQ

What is Total Kinetic Energy of Constraint for Transverse Vibrations?
The Total kinetic energy of constraint for transverse vibrations formula is defined as the energy that it possesses due to its motion and is represented as KE = (33*mc*Vtraverse^2)/280 or Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280. Total Mass of Constraint is both a property of a physical body and a measure of its resistance to acceleration & 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 Kinetic Energy of Constraint for Transverse Vibrations?
The Total kinetic energy of constraint for transverse vibrations formula is defined as the energy that it possesses due to its motion is calculated using Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280. To calculate Total Kinetic Energy of Constraint for Transverse Vibrations, you need Total Mass of Constraint (mc) & Transverse Velocity of Free End (Vtraverse). With our tool, you need to enter the respective value for Total Mass of Constraint & 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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