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Q-Factor Formula

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Q Factor is non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation. Check FAQs

Q = \frac{1}{2 \cdot ζ}

Q - Q Factor?ζ - Damping Ratio?

Q-Factor Example

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With units

Only example

Here is how the Q-Factor equation looks like with Values.

Here is how the Q-Factor equation looks like with Units.

Here is how the Q-Factor equation looks like.

5 = \frac{1}{2 \cdot 0.1}

5 = \frac{1}{2 \cdot 0.1}

5 = \frac{1}{2 \cdot 0.1}

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Q-Factor Solution

Follow our step by step solution on how to calculate Q-Factor?

FIRST Step Consider the formula

Q = \frac{1}{2 \cdot ζ}

Next Step Substitute values of Variables

∴

Q = \frac{1}{2 \cdot 0.1}

Next Step Prepare to Evaluate

∴

Q = \frac{1}{2 \cdot 0.1}

LAST Step Evaluate

∴

Q = 5

Q-Factor Formula Elements

Variables

Q Factor

Q Factor is non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Q Factor

Damping Ratio

Damping Ratio in control system is defined as the ratio with which any signal gets decayed.

Symbol: ζ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Damping Ratio

Other formulas in Fundamental Parameters category

Go Damping Ratio or Damping Factor

ζ = \frac{c}{2 \cdot \sqrt{m \cdot K spring}}

Go Damped Natural Frequency

ω d = ω n \cdot \sqrt{1 - ζ^{2}}

Go Resonant Peak

M r = \frac{1}{2 \cdot ζ \cdot \sqrt{1 - ζ^{2}}}

Go Resonant Frequency

ω r = ω n \cdot \sqrt{1 - 2 \cdot ζ^{2}}

How to Evaluate Q-Factor?

Q-Factor evaluator uses Q Factor = 1/(2*Damping Ratio) to evaluate the Q Factor, The Q-Factor formula is defined as a non-dimensional characterization of the amount of damping; high Q indicates slow damping relative to the oscillation. Q Factor is denoted by Q symbol.

How to evaluate Q-Factor using this online evaluator? To use this online evaluator for Q-Factor, enter Damping Ratio (ζ) and hit the calculate button.

FAQs on Q-Factor

What is the formula to find Q-Factor?

The formula of Q-Factor is expressed as Q Factor = 1/(2*Damping Ratio). Here is an example- 5 = 1/(2*0.1).

How to calculate Q-Factor?

With Damping Ratio (ζ) we can find Q-Factor using the formula - Q Factor = 1/(2*Damping Ratio).

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