Condition for Critical Damping Calculator

✖A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass Suspended from Spring [m]			+10% -10%
✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%

✖Critical damping coefficient provides the quickest approach to zero amplitude for a damped oscillator.ⓘ Condition for Critical Damping [c_c]

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Condition for Critical Damping Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring)
c_c = 2*m*sqrt(k/m)
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

Critical Damping Coefficient - (Measured in Newton Second per Meter) - Critical damping coefficient provides the quickest approach to zero amplitude for a damped oscillator.
Mass Suspended from Spring - (Measured in Kilogram) - A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

STEP 1: Convert Input(s) to Base Unit

Mass Suspended from Spring: 1.25 Kilogram --> 1.25 Kilogram No Conversion Required
Stiffness of Spring: 60 Newton per Meter --> 60 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_c = 2*m*sqrt(k/m) --> 2*1.25*sqrt(60/1.25)

Evaluating ... ...

c_c = 17.3205080756888

STEP 3: Convert Result to Output's Unit

17.3205080756888 Newton Second per Meter --> No Conversion Required

FINAL ANSWER

17.3205080756888 ≈ 17.32051 Newton Second per Meter <-- Critical Damping Coefficient

(Calculation completed in 00.020 seconds)

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< Frequency of Free Damped Vibrations Calculators

Condition for Critical Damping

LaTeX Go Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring)

Damping Factor given Natural Frequency

LaTeX Go Damping Ratio = Damping Coefficient/(2*Mass Suspended from Spring*Natural Circular Frequency)

Critical Damping Coefficient

LaTeX Go Critical Damping Coefficient = 2*Mass Suspended from Spring*Natural Circular Frequency

Damping Factor

LaTeX Go Damping Ratio = Damping Coefficient/Critical Damping Coefficient

Condition for Critical Damping Formula

LaTeX Go

Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring)
c_c = 2*m*sqrt(k/m)

Why damping happens during vibration?

The mechanical system vibrates at one or more of its natural frequencies and damps down to motionlessness. Damped vibration happens when the energy of a vibrating system is gradually dissipated by friction and other resistances, the vibrations are said to be damped.

How to Calculate Condition for Critical Damping?

Condition for Critical Damping calculator uses Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring) to calculate the Critical Damping Coefficient, Condition for Critical Damping formula is defined as a measure that determines the threshold at which a system's oscillations cease to oscillate and come to rest, marking the boundary between underdamping and overdamping, and is crucial in understanding the behavior of physical systems in various fields such as physics, engineering, and mathematics. Critical Damping Coefficient is denoted by c_c symbol.

How to calculate Condition for Critical Damping using this online calculator? To use this online calculator for Condition for Critical Damping, enter Mass Suspended from Spring (m) & Stiffness of Spring (k) and hit the calculate button. Here is how the Condition for Critical Damping calculation can be explained with given input values -> 17.32051 = 2*1.25*sqrt(60/1.25).

FAQ

What is Condition for Critical Damping?

Condition for Critical Damping formula is defined as a measure that determines the threshold at which a system's oscillations cease to oscillate and come to rest, marking the boundary between underdamping and overdamping, and is crucial in understanding the behavior of physical systems in various fields such as physics, engineering, and mathematics and is represented as c_c = 2*m*sqrt(k/m) or Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring). A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter & Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

How to calculate Condition for Critical Damping?

Condition for Critical Damping formula is defined as a measure that determines the threshold at which a system's oscillations cease to oscillate and come to rest, marking the boundary between underdamping and overdamping, and is crucial in understanding the behavior of physical systems in various fields such as physics, engineering, and mathematics is calculated using Critical Damping Coefficient = 2*Mass Suspended from Spring*sqrt(Stiffness of Spring/Mass Suspended from Spring). To calculate Condition for Critical Damping, you need Mass Suspended from Spring (m) & Stiffness of Spring (k). With our tool, you need to enter the respective value for Mass Suspended from Spring & Stiffness of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Critical Damping Coefficient?

In this formula, Critical Damping Coefficient uses Mass Suspended from Spring & Stiffness of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Damping Coefficient = 2*Mass Suspended from Spring*Natural Circular Frequency

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