How to quickly find the damping ratio of a system? Enter specific values into the Damping ratio calculator, you can easily determine the damping ratio, mass, or spring constant.
What is Damping Ratio?
The damp ratio checks how wobbles in a thing fade after a bump. It shows how the thing fights wiggle. A high damp ratio means the thing settles fast. A low ratio means wobbles last longer. The ratio tells us how bouncy or calm the thing acts after trouble starts. It helps know if it wiggles for a long time or chills out quick once the bump is gone.
How to Use the Calculator
1. Basic Calculator
- Enter Spring Constant (N-m): Input the spring constant value to find the damping ratio or mass.
- Example: 25 N-m
- Enter Mass (kg): Input the mass value to find the damping ratio or spring constant.
- Example: 10 kg
- Enter Damping Ratio: Input the damping ratio to find the spring constant or mass.
- Example: Leave this field empty to calculate it.
2. Advanced Calculator
- Enter Spring Constant (N-m): Provide the spring constant value.
- Example: 50 N-m
- Enter Mass (kg): Provide the mass value.
- Example: 20 kg
- Enter Damping Coefficient (Ns/m): Provide the damping coefficient.
- Example: 5 Ns/m
Damping Ratio Formula
Variable | Description |
---|---|
Damping Ratio | |
Spring Constant (N-m) | |
Mass (kg) |
How to Calculate Damping Ratio
Example 1
Given Values
- Spring Constant: 25 N-m
- Mass: 10 kg
- Damping Ratio: (to be calculated)
Calculation:
1. Given:
2. Formula:
3. Calculation:
4. Simplify:
5. Result:
Thus, the damping ratio is 31.62.
Example 2
Given Values are:
- Spring Constant: 50 N-m
- Mass: 20 kg
- Damping Ratio: (to be calculated)
Calculation:
1. Given:
2. Formula:
3. Calculation:
4. Simplify:
5. Result:
Thus, the damping ratio is 63.24.
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