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The image provided contains a mathematical activity focused on calculating the glide angle (\( \gamma \)), airspeed (\( v \)), and rate of descent (RD) for a glider. The key information provided includes the glider's weight (\( W = 300 \, \text{kg} \)), wing area (\( S = 14.1 \, \text{m}^2 \)), and altitude (SSLC). The formulas for various aerodynamic coefficients, angles, and velocities are listed step-by-step.

Here’s a breakdown of the key components from the explanation in the image:

1. **Formulas**:
    - \( \alpha \) (Angle of attack) is given.
    - \( c_L \) (Lift coefficient) is given.
    - \( c_D \) (Drag coefficient) is given.
    - \( c_R = \sqrt{c_L^2 + c_D^2} \) (Resultant coefficient).
    - \( \frac{c_L}{c_D} \) and \( \frac{c_L^3}{c_D^2} \) are derived from the given coefficients.
    - \( \tan \gamma = \frac{1}{\frac{c_L}{c_D}} \).
    - \( \gamma = \arctan \left( \frac{1}{\frac{c_L}{c_D}} \right) \) gives the glide angle in degrees.
    - Airspeed (\( v \)) in m/s is calculated by \( v = \sqrt{\frac{W}{S}} \cdot \sqrt{\frac{2}{c_L}} \cdot \cos(\gamma) \).
    - To convert airspeed to km/h: \( v \text{ (km/h)} = v \text{ (m/s)} \times 3.6 \).
    - Rate of descent (RD): \( RD = \sqrt{\frac{W}{S}} \cdot \sqrt{\frac{2}{c_L}} \cdot (1/6) \cdot \cos^3(\gamma) \).

2. **Explanation of Table**:
    The table seems to require values to be calculated for various parameters, but the exact data points are not filled in.

Would you like help in filling out the table with specific values or to clarify any of the calculations in more detail?

Here are 5 related questions that might expand on this:
1. What is the value of \( c_L \) and \( c_D \) for the glider?
2. How do we calculate the glide angle \( \gamma \) once we know \( c_L \) and \( c_D \)?
3. How does airspeed (\( v \)) relate to the weight and wing area of the glider?
4. Why is the rate of descent (RD) calculated with \( \cos^3(\gamma) \)?
5. Can we use this model for different types of gliders or aircraft?

**Tip**: When calculating angles using trigonometric functions (like \( \tan^{-1} \)), always make sure the calculator is set to the correct mode (degrees or radians) depending on the context.

Activity No. 3: Calculation of Glide Angle, Airspeed, and Rate of Descent for a Glider.

Learn how to calculate the glide angle (γ), airspeed, and rate of descent for a glider based on aerodynamic coefficients and physical parameters. This example uses trigonometric functions and key aerodynamic formulas to solve problems related to glider motion.

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