Critical Damping Coefficient given Spring Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring)
cc = 2*sqrt(Kspring/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.
Spring Constant - (Measured in Newton per Meter) - Spring Constant is the displacement of the spring from its equilibrium position.
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.
STEP 1: Convert Input(s) to Base Unit
Spring Constant: 51 Newton per Meter --> 51 Newton per Meter No Conversion Required
Mass suspended from spring: 0.25 Kilogram --> 0.25 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cc = 2*sqrt(Kspring/m) --> 2*sqrt(51/0.25)
Evaluating ... ...
cc = 28.5657137141714
STEP 3: Convert Result to Output's Unit
28.5657137141714 Newton Second per Meter --> No Conversion Required
FINAL ANSWER
28.5657137141714 28.56571 Newton Second per Meter <-- Critical Damping Coefficient
(Calculation completed in 00.004 seconds)

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12 Equilibrium Method Calculators

Load Attached to Free End of Constraint
Go Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint
Length of Constraint
Go Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons
Restoring Force using Weight of Body
Go Force = Weight of Body in Newtons-Stiffness of Constraint*(Static Deflection+Displacement of Body)
Acceleration of Body given Stiffness of Constraint
Go Acceleration of Body = (-Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint
Displacement of Body given Stiffness of Constraint
Go Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
Time Period of Free Longitudinal Vibrations
Go Time Period = 2*pi*sqrt(Weight of Body in Newtons/Stiffness of Constraint)
Angular Velocity of Free Longitudinal Vibrations
Go Natural Circular Frequency = sqrt(Stiffness of Constraint/Mass suspended from spring)
Critical Damping Coefficient given Spring Constant
Go Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring)
Static Deflection given Natural Frequency
Go Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2)
Gravitational Pull Balanced by Spring Force
Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection
Restoring Force
Go Force = -Stiffness of Constraint*Displacement of Body
Young's Modulus
Go Young's Modulus = Stress/Strain

Critical Damping Coefficient given Spring Constant Formula

Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring)
cc = 2*sqrt(Kspring/m)

What is critical damping coefficient?



Critical damping provides the quickest approach to zero amplitude for a damped oscillator. With more damping (overdamping), the approach to zero is slower. Critical damping occurs when the damping coefficient is equal to the undamped resonant frequency of the oscillator.

What is critical damping and what is its importance?



Critical Damping is important so as to prevent a large number of oscillations and there being too long a time when the system cannot respond to further disturbances. Instruments such as balances and electrical meters are critically damped so that the pointer moves quickly to the correct position without oscillating.

How to Calculate Critical Damping Coefficient given Spring Constant?

Critical Damping Coefficient given Spring Constant calculator uses Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring) to calculate the Critical Damping Coefficient, Critical Damping Coefficient given Spring Constant formula is defined as the quickest approach to zero amplitude for a damped oscillator. Critical Damping Coefficient is denoted by cc symbol.

How to calculate Critical Damping Coefficient given Spring Constant using this online calculator? To use this online calculator for Critical Damping Coefficient given Spring Constant, enter Spring Constant (Kspring) & Mass suspended from spring (m) and hit the calculate button. Here is how the Critical Damping Coefficient given Spring Constant calculation can be explained with given input values -> 28.56571 = 2*sqrt(51/0.25).

FAQ

What is Critical Damping Coefficient given Spring Constant?
Critical Damping Coefficient given Spring Constant formula is defined as the quickest approach to zero amplitude for a damped oscillator and is represented as cc = 2*sqrt(Kspring/m) or Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring). Spring Constant is the displacement of the spring from its equilibrium position & A mass suspended from spring is defined as the quantitative measure of inertia, a fundamental property of all matter.
How to calculate Critical Damping Coefficient given Spring Constant?
Critical Damping Coefficient given Spring Constant formula is defined as the quickest approach to zero amplitude for a damped oscillator is calculated using Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring). To calculate Critical Damping Coefficient given Spring Constant, you need Spring Constant (Kspring) & Mass suspended from spring (m). With our tool, you need to enter the respective value for Spring Constant & Mass suspended from spring 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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