FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Amplitude Reduction Factor Formula

Fx Copy

LaTeX Copy

The amplitude reduction factor is the ratio of any two successive amplitudes on the same side of the mean position. Check FAQs

A r = e^{a \cdot t p}

A_r - Amplitude Reduction Factor?a - Frequency Constant for Calculation?t_p - Time Period?

Amplitude Reduction Factor Example

With values

With units

Only example

Here is how the Amplitude Reduction Factor equation looks like with Values.

Here is how the Amplitude Reduction Factor equation looks like with Units.

Here is how the Amplitude Reduction Factor equation looks like.

1.1972 = e^{0.2 \cdot 0.9}

1.1972 = e^{0.2Hz \cdot 0.9s}

1.1972 = e^{0.2 \cdot 0.9}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Amplitude Reduction Factor

Amplitude Reduction Factor Solution

Follow our step by step solution on how to calculate Amplitude Reduction Factor?

FIRST Step Consider the formula

A r = e^{a \cdot t p}

Next Step Substitute values of Variables

∴

A r = e^{0.2Hz \cdot 0.9s}

Next Step Prepare to Evaluate

∴

A r = e^{0.2 \cdot 0.9}

Next Step Evaluate

∴

A r = 1.19721736312181

LAST Step Rounding Answer

∴

A r = 1.1972

Amplitude Reduction Factor Formula Elements

Variables

Amplitude Reduction Factor

The amplitude reduction factor is the ratio of any two successive amplitudes on the same side of the mean position.

Symbol: A_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Amplitude Reduction Factor

Frequency Constant for Calculation

The Frequency Constant for Calculation is the constant whose value is equal to the damping coefficient divided by twice of suspended mass.

Symbol: a

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency Constant for Calculation

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

Other formulas in Frequency of Free Damped Vibrations category

Go Condition for Critical Damping

c c = 2 \cdot m \cdot \sqrt{\frac{k}{m}}

Go Critical Damping Coefficient

c c = 2 \cdot m \cdot ω n

Go Damping Factor

ζ = \frac{c}{c c}

Go Damping Factor given Natural Frequency

ζ = \frac{c}{2 \cdot m \cdot ω n}

How to Evaluate Amplitude Reduction Factor?

Amplitude Reduction Factor evaluator uses Amplitude Reduction Factor = e^(Frequency Constant for Calculation*Time Period) to evaluate the Amplitude Reduction Factor, Amplitude Reduction Factor formula is defined as a measure of the reduction in amplitude of a vibrating system due to damping, providing a quantitative representation of the energy loss in a free damped vibration, which is essential in understanding the behavior of oscillating systems in various fields such as physics and engineering. Amplitude Reduction Factor is denoted by A_r symbol.

How to evaluate Amplitude Reduction Factor using this online evaluator? To use this online evaluator for Amplitude Reduction Factor, enter Frequency Constant for Calculation (a) & Time Period (t_p) and hit the calculate button.

FAQs on Amplitude Reduction Factor

What is the formula to find Amplitude Reduction Factor?

The formula of Amplitude Reduction Factor is expressed as Amplitude Reduction Factor = e^(Frequency Constant for Calculation*Time Period). Here is an example- 1.822119 = e^(0.2*0.9).

How to calculate Amplitude Reduction Factor?

With Frequency Constant for Calculation (a) & Time Period (t_p) we can find Amplitude Reduction Factor using the formula - Amplitude Reduction Factor = e^(Frequency Constant for Calculation*Time Period).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit