Velocity of Small Element for Transverse Vibrations Calculator

✖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 [l]			+10% -10%
✖Distance between Small Element and Fixed End is the length between a small element and the fixed end in a vibrating system, affecting inertia constraints.ⓘ Distance between Small Element and Fixed End [x]			+10% -10%
✖Transverse Velocity of Free End is the velocity of the free end of a vibrating system, influenced by the inertia of constraints in longitudinal and transverse vibrations.ⓘ Transverse Velocity of Free End [V_traverse]			+10% -10%

✖Velocity of Small Element is the speed at which a small element of a vibrating system moves in response to longitudinal and transverse vibrations.ⓘ Velocity of Small Element for Transverse Vibrations [v_s]

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Velocity of Small Element for Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
v_s = ((3*l*x^2-x^3)*V_traverse)/(2*l^3)
This formula uses 4 Variables

Variables Used

Velocity of Small Element - (Measured in Meter per Second) - Velocity of Small Element is the speed at which a small element of a vibrating system moves in response to longitudinal and transverse vibrations.
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.
Distance between Small Element and Fixed End - (Measured in Meter) - Distance between Small Element and Fixed End is the length between a small element and the fixed end in a vibrating system, affecting inertia constraints.
Transverse Velocity of Free End - (Measured in Meter per Second) - Transverse Velocity of Free End is the velocity of the free end of a vibrating system, influenced by the inertia of constraints in longitudinal and transverse vibrations.

STEP 1: Convert Input(s) to Base Unit

Length of Constraint: 7.32 Millimeter --> 0.00732 Meter (Check conversion here)
Distance between Small Element and Fixed End: 3.66 Millimeter --> 0.00366 Meter (Check conversion here)
Transverse Velocity of Free End: 4.756707 Meter per Second --> 4.756707 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = ((3*l*x^2-x^3)*V_traverse)/(2*l^3) --> ((3*0.00732*0.00366^2-0.00366^3)*4.756707)/(2*0.00732^3)

Evaluating ... ...

v_s = 1.4864709375

STEP 3: Convert Result to Output's Unit

1.4864709375 Meter per Second --> No Conversion Required

FINAL ANSWER

1.4864709375 ≈ 1.486471 Meter per Second <-- Velocity of Small Element

(Calculation completed in 00.004 seconds)

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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

Velocity of Small Element for Transverse Vibrations Formula

LaTeX Go

What is Transverse Wave?

A transverse wave is a type of wave where the particles of the medium vibrate perpendicular to the direction of the wave's travel. This creates alternating peaks and troughs. Examples of transverse waves include light waves, electromagnetic waves, and waves on a guitar string.

How to Calculate Velocity of Small Element for Transverse Vibrations?

Velocity of Small Element for Transverse Vibrations calculator uses 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) to calculate the Velocity of Small Element, Velocity of Small Element for Transverse Vibrations formula is defined as a measure of the velocity of a small element in a transverse vibration, which is affected by the inertia of the constraint, and is used to analyze the motion of particles in longitudinal and transverse vibrations. Velocity of Small Element is denoted by v_s symbol.

How to calculate Velocity of Small Element for Transverse Vibrations using this online calculator? To use this online calculator for Velocity of Small Element for Transverse Vibrations, enter Length of Constraint (l), Distance between Small Element and Fixed End (x) & Transverse Velocity of Free End (V_traverse) and hit the calculate button. Here is how the Velocity of Small Element for Transverse Vibrations calculation can be explained with given input values -> 1.486469 = ((3*0.00732*0.00366^2-0.00366^3)*4.756707)/(2*0.00732^3).

FAQ

What is Velocity of Small Element for Transverse Vibrations?

Velocity of Small Element for Transverse Vibrations formula is defined as a measure of the velocity of a small element in a transverse vibration, which is affected by the inertia of the constraint, and is used to analyze the motion of particles in longitudinal and transverse vibrations and is represented as v_s = ((3*l*x^2-x^3)*V_traverse)/(2*l^3) or 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). Length of Constraint is the distance between the point of application of the force and the point of constraint in a vibrating system, Distance between Small Element and Fixed End is the length between a small element and the fixed end in a vibrating system, affecting inertia constraints & Transverse Velocity of Free End is the velocity of the free end of a vibrating system, influenced by the inertia of constraints in longitudinal and transverse vibrations.

How to calculate Velocity of Small Element for Transverse Vibrations?

Velocity of Small Element for Transverse Vibrations formula is defined as a measure of the velocity of a small element in a transverse vibration, which is affected by the inertia of the constraint, and is used to analyze the motion of particles in longitudinal and transverse vibrations is calculated using 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). To calculate Velocity of Small Element for Transverse Vibrations, you need Length of Constraint (l), Distance between Small Element and Fixed End (x) & Transverse Velocity of Free End (V_traverse). With our tool, you need to enter the respective value for Length of Constraint, Distance between Small Element and Fixed End & 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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