Transverse Velocity of Free End Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint))
Vtraverse = sqrt((280*KE)/(33*mc))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Total Mass of Constraint: 28 Kilogram --> 28 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vtraverse = sqrt((280*KE)/(33*mc)) --> sqrt((280*75)/(33*28))
Evaluating ... ...
Vtraverse = 4.76731294622796
STEP 3: Convert Result to Output's Unit
4.76731294622796 Meter per Second --> No Conversion Required
FINAL ANSWER
4.76731294622796 4.767313 Meter per Second <-- Transverse Velocity of Free End
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
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

Transverse Velocity of Free End Formula

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

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 Transverse Velocity of Free End?

Transverse Velocity of Free End calculator uses Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)) to calculate the Transverse Velocity of Free End, The Transverse velocity of free end formula is defined as the component of a object's velocity that is perpendicular to our line of sight. Transverse Velocity of Free End is denoted by Vtraverse symbol.

How to calculate Transverse Velocity of Free End using this online calculator? To use this online calculator for Transverse Velocity of Free End, enter Kinetic Energy (KE) & Total Mass of Constraint (mc) and hit the calculate button. Here is how the Transverse Velocity of Free End calculation can be explained with given input values -> 13.68085 = sqrt((280*75)/(33*28)).

FAQ

What is Transverse Velocity of Free End?
The Transverse velocity of free end formula is defined as the component of a object's velocity that is perpendicular to our line of sight and is represented as Vtraverse = sqrt((280*KE)/(33*mc)) or Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)). 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 is both a property of a physical body and a measure of its resistance to acceleration.
How to calculate Transverse Velocity of Free End?
The Transverse velocity of free end formula is defined as the component of a object's velocity that is perpendicular to our line of sight is calculated using Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)). To calculate Transverse Velocity of Free End, you need Kinetic Energy (KE) & Total Mass of Constraint (mc). With our tool, you need to enter the respective value for Kinetic Energy & Total Mass of Constraint 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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