Reduced Frequency Calculator

Circular Frequency (ω):

Airfoil Semi-Chord (b):

Flow Velocity (V):

Reduced Frequency (k):

1. What is Reduced Frequency?

Definition: Reduced frequency is a dimensionless parameter used in aerodynamics to characterize unsteady flow, calculated using the formula:

\[ k = \frac{(\omega \cdot b)}{V} \]

Variables:

\( k \): Reduced frequency (dimensionless).
\( \omega \): Circular frequency (in rad/s).
\( b \): Airfoil semi-chord (in inches).
\( V \): Flow velocity (in in/s).

Explanation: This formula relates the oscillatory motion of an airfoil to the flow velocity, helping to analyze aerodynamic stability and flutter.

2. Importance of Reduced Frequency Calculation

Details: Reduced frequency is critical in aerodynamics for understanding unsteady flow effects, such as flutter, which can impact aircraft stability and safety.

3. Using the Calculator

Tips: Enter the circular frequency, airfoil semi-chord, and flow velocity with their respective units. Click "Calculate" to get the reduced frequency.

Frequently Asked Questions (FAQ)

Q1: What is circular frequency?
A: Circular frequency (\( \omega \)) is the rate of oscillation, convertible to rad/s from various units like degrees, revolutions, etc.

Q2: What is airfoil semi-chord?
A: The semi-chord (\( b \)) is half the chord length of an airfoil, where the chord is the straight-line distance from the leading edge to the trailing edge.

Q3: Why calculate reduced frequency?
A: It helps analyze unsteady aerodynamic effects, such as flutter, which are critical for aircraft design and safety.

Q4: Can I use different units?
A: Yes, the calculator supports frequency units (rad/s, rad/day, rad/h, rad/min, deg/day, deg/h, deg/min, deg/s, rev/s, rpm, rev/h, rev/day) for circular frequency, length units (in, cm, mm, ft, yd, m) for semi-chord, and velocity units (ft/s, m/s, km/h, mph) for flow velocity.

Q5: How accurate is this calculator?
A: The calculator is accurate based on the formula and input values, though real-world factors like turbulence may affect actual aerodynamic behavior.

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