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Time Period of Free Transverse Vibrations Formula

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Time Period is the time taken by a complete cycle of the wave to pass a point. Check FAQs

t p = 2 \cdot π \cdot \sqrt{\frac{W attached}{s}}

t_p - Time Period?W_attached - Load Attached to Free End of Constraint?s - Stiffness of Shaft?π - Archimedes' constant?

Time Period of Free Transverse Vibrations Example

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Here is how the Time Period of Free Transverse Vibrations equation looks like with Values.

Here is how the Time Period of Free Transverse Vibrations equation looks like with Units.

Here is how the Time Period of Free Transverse Vibrations equation looks like.

5.7084 = 2 \cdot 3.1416 \cdot \sqrt{\frac{0.52}{0.63}}

5.7084s = 2 \cdot 3.1416 \cdot \sqrt{\frac{0.52kg}{0.63N/m}}

5.7084 = 2 \cdot 3.1416 \cdot \sqrt{\frac{0.52}{0.63}}

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Time Period of Free Transverse Vibrations Solution

Follow our step by step solution on how to calculate Time Period of Free Transverse Vibrations?

FIRST Step Consider the formula

t p = 2 \cdot π \cdot \sqrt{\frac{W attached}{s}}

Next Step Substitute values of Variables

∴

t p = 2 \cdot π \cdot \sqrt{\frac{0.52kg}{0.63N/m}}

Next Step Substitute values of Constants

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{\frac{0.52kg}{0.63N/m}}

Next Step Prepare to Evaluate

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{\frac{0.52}{0.63}}

Next Step Evaluate

∴

t p = 5.70835883265293s

LAST Step Rounding Answer

∴

t p = 5.7084s

Time Period of Free Transverse Vibrations Formula Elements

Variables

Constants

Functions

Time Period

Time Period is the time taken by a complete cycle of the wave to pass a point.

Symbol: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period

Load Attached to Free End of Constraint

Load attached to free end of constraint is a weight or source of pressure.

Symbol: W_attached

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Load Attached to Free End of Constraint

Stiffness of Shaft

Stiffness of shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit.

Symbol: s

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in General Shaft category

Go Static Deflection given Moment of Inertia of Shaft

δ = \frac{W attached \cdot L^{3}}{3 \cdot E \cdot I shaft}

Go Load at Free End in Free Transverse Vibrations

W attached = \frac{δ \cdot 3 \cdot E \cdot I shaft}{L^{3}}

Go Length of Shaft

L = {(\frac{δ \cdot 3 \cdot E \cdot I shaft}{W attached})}^{\frac{1}{3}}

Go Moment of Inertia of Shaft given Static Deflection

I shaft = \frac{W attached \cdot L^{3}}{3 \cdot E \cdot δ}

How to Evaluate Time Period of Free Transverse Vibrations?

Time Period of Free Transverse Vibrations evaluator uses Time Period = 2*pi*sqrt(Load Attached to Free End of Constraint/Stiffness of Shaft) to evaluate the Time Period, Time Period of Free Transverse Vibrations formula is defined as the time taken by an object to complete one oscillation or cycle of free transverse vibration, which is a fundamental property of an object's natural frequency, and is crucial in understanding the object's dynamic behavior and stability. Time Period is denoted by t_p symbol.

How to evaluate Time Period of Free Transverse Vibrations using this online evaluator? To use this online evaluator for Time Period of Free Transverse Vibrations, enter Load Attached to Free End of Constraint (W_attached) & Stiffness of Shaft (s) and hit the calculate button.

FAQs on Time Period of Free Transverse Vibrations

What is the formula to find Time Period of Free Transverse Vibrations?

The formula of Time Period of Free Transverse Vibrations is expressed as Time Period = 2*pi*sqrt(Load Attached to Free End of Constraint/Stiffness of Shaft). Here is an example- 5.708359 = 2*pi*sqrt(0.52/0.63).

How to calculate Time Period of Free Transverse Vibrations?

With Load Attached to Free End of Constraint (W_attached) & Stiffness of Shaft (s) we can find Time Period of Free Transverse Vibrations using the formula - Time Period = 2*pi*sqrt(Load Attached to Free End of Constraint/Stiffness of Shaft). This formula also uses Archimedes' constant and Square Root Function function(s).

Can the Time Period of Free Transverse Vibrations be negative?

No, the Time Period of Free Transverse Vibrations, measured in Time cannot be negative.

Which unit is used to measure Time Period of Free Transverse Vibrations?

Time Period of Free Transverse Vibrations is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Period of Free Transverse Vibrations can be measured.

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Time Period of Free Transverse Vibrations Formula

Time Period of Free Transverse Vibrations Example

Time Period of Free Transverse Vibrations Solution

Time Period of Free Transverse Vibrations Formula Elements

Other formulas in General Shaft category

How to Evaluate Time Period of Free Transverse Vibrations?

FAQs on Time Period of Free Transverse Vibrations

Variable Name