Quick Answer
Calculate Torsional Natural Frequency and Critical Speed Estimator for Uniform Shaft with Two Rigid Disks
Calculator
Result Interpretation
Torsional Natural Frequency and Critical Speed Estimator for Uniform Shaft with Two Rigid Disks Calculator computes Torsional natural frequency in rad/s using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Polar moment of inertia of disk 1 = 0.05
- Polar moment of inertia of disk 2 = 0.03
- Torsional stiffness of shaft = 12000
Expected Result:
- Torsional natural frequency = 800
Engineering Interpretation:
Under the given input conditions, the calculated result is: Torsional natural frequency = 800 rad/s.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
torsional natural frequency = sqrt((torsional stiffness of shaft * (polar moment of inertia of disk 1 + polar moment of inertia of disk 2)) / (polar moment of inertia of disk 1 * polar moment of inertia of disk 2))Formula family: formula_vibration_torsional_vibration_natural_frequency_critical_speed_estimator_for_shaft_systems
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| J1 | Polar moment of inertia of disk 1 | INPUT | Polar moment of inertia of disk 1 |
| J2 | Polar moment of inertia of disk 2 | INPUT | Polar moment of inertia of disk 2 |
| k_t | Torsional stiffness of shaft | INPUT | Torsional stiffness of shaft |
| result | Torsional natural frequency | OUTPUT | Torsional natural frequency |
Calculation Steps
- Enter the polar moment of inertia of disk 1 in kg*m^2.
- Enter the polar moment of inertia of disk 2 in kg*m^2.
- Enter the torsional stiffness of shaft in N*m/rad.
- Step 1: Compute torsional natural frequency.
- Read the torsional natural frequency (rad/s) from the results.
Engineering Summary
Calculate Torsional Natural Frequency and Critical Speed Estimator for Uniform Shaft with Two Rigid Disks
Frequently Asked Questions
What does this calculator calculate?
The Torsional Natural Frequency and Critical Speed Estimator for Uniform Shaft with Two Rigid Disks Calculator estimates Torsional natural frequency based on the input parameters you provide
Why is polar moment of inertia of disk 1 important in this calculation?
polar moment of inertia of disk 1 is directly proportional to torsional natural frequency. When you enter polar moment of inertia of disk 1 in kg*m^2, the calculator uses it in the engineering formula to compute the output
How should I interpret the result torsional natural frequency?
The calculator outputs torsional natural frequency in rad/s. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Polar moment of inertia of disk 1 (kg*m^2), Polar moment of inertia of disk 2 (kg*m^2), Torsional stiffness of shaft (N*m/rad). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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