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Critical damping coefficient in terms of spring constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
critical_damping_coefficient = 2*(sqrt(Spring constant)/(Mass suspended from spring))
cc = 2*(sqrt(k)/(m))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Spring constant - Spring constant is the displacement of the spring from its equilibrium position. (Measured in Newton per Meter)
Mass suspended from spring - A mass suspended from spring is defined as the quantitative measure of inertia, a fundamental property of all matter. (Measured in Kilogram)
STEP 1: Convert Input(s) to Base Unit
Spring constant: 50 Newton per Meter --> 50 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(k)/(m)) --> 2*(sqrt(50)/(0.25))
Evaluating ... ...
cc = 56.5685424949238
STEP 3: Convert Result to Output's Unit
56.5685424949238 Newton Seconds per Meter -->0.565685424949238 Newton Seconds per Centimeter (Check conversion here)
FINAL ANSWER
0.565685424949238 Newton Seconds per Centimeter <-- Critical damping coefficient
(Calculation completed in 00.000 seconds)

10+ Equilibrium Method Calculators

Static deflection
static_deflection = (Load attached to free end of constraint*Length of constraint)/(Young's Modulus*Cross sectional area) Go
Load attached to free end of constraint
load_attached_free_end = (Static Deflection*Young's Modulus*Cross sectional area)/Length of constraint Go
Time period of free longitudinal vibrations
time_period_1 = 2*pi*sqrt(Load attached to free end of constraint/Stiffness of Constraint) Go
Natural frequency of free longitudinal vibrations
frequency = (sqrt(Acceleration Due To Gravity/Static Deflection))/(2*pi) Go
Acceleration of body in terms of stiffness of constraint
acceleration = (-Stiffness of Constraint*Displacement of Body)/Load attached to free end of constraint Go
Angular velocity of free longitudinal vibrations
natural_circular_frequency = sqrt(Stiffness of Constraint/Load attached to free end of constraint) Go
Displacement of body in terms of stiffness of constraint
displacement = (-Load attached to free end of constraint*Acceleration)/Stiffness of Constraint Go
Restoring force
force = -Stiffness of Constraint*Displacement of Body Go
Gravitational pull balanced by the spring force
force = Stiffness of Constraint*Static Deflection Go
Young's Modulus
youngs_modulus = Stress/Strain Go

Critical damping coefficient in terms of spring constant Formula

critical_damping_coefficient = 2*(sqrt(Spring constant)/(Mass suspended from spring))
cc = 2*(sqrt(k)/(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 in terms of spring constant?

Critical damping coefficient in terms of spring constant calculator uses critical_damping_coefficient = 2*(sqrt(Spring constant)/(Mass suspended from spring)) to calculate the Critical damping coefficient, Critical damping coefficient in terms of 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 in terms of spring constant using this online calculator? To use this online calculator for Critical damping coefficient in terms of spring constant, enter Spring constant (k) & Mass suspended from spring (m) and hit the calculate button. Here is how the Critical damping coefficient in terms of spring constant calculation can be explained with given input values -> 0.565685 = 2*(sqrt(50)/(0.25)).

FAQ

What is Critical damping coefficient in terms of spring constant?
Critical damping coefficient in terms of spring constant formula is defined as the quickest approach to zero amplitude for a damped oscillator and is represented as cc = 2*(sqrt(k)/(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 in terms of spring constant?
Critical damping coefficient in terms of 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 in terms of spring constant, you need Spring constant (k) & 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.
How many ways are there to calculate Critical damping coefficient?
In this formula, Critical damping coefficient uses Spring constant & Mass suspended from spring. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • youngs_modulus = Stress/Strain
  • force = Stiffness of Constraint*Static Deflection
  • force = -Stiffness of Constraint*Displacement of Body
  • acceleration = (-Stiffness of Constraint*Displacement of Body)/Load attached to free end of constraint
  • displacement = (-Load attached to free end of constraint*Acceleration)/Stiffness of Constraint
  • natural_circular_frequency = sqrt(Stiffness of Constraint/Load attached to free end of constraint)
  • time_period_1 = 2*pi*sqrt(Load attached to free end of constraint/Stiffness of Constraint)
  • frequency = (sqrt(Acceleration Due To Gravity/Static Deflection))/(2*pi)
  • static_deflection = (Load attached to free end of constraint*Length of constraint)/(Young's Modulus*Cross sectional area)
  • load_attached_free_end = (Static Deflection*Young's Modulus*Cross sectional area)/Length of constraint
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