A small airplane of mass 1200 kg is doing a horizontal turn. The turn requires the pilot to bank the plane with an angle 0 =24° as shown in the figure. If the radius of the turn is 2400 m, what is the speed of the airplane measured in m/s? Ө Fg

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### Horizontal Turn of a Small Airplane

**Problem Statement:**
A small airplane of mass 1200 kg is performing a horizontal turn. The turn requires the pilot to bank the plane with an angle \( \theta = 24^\circ \) as shown in the figure. If the radius of the turn is 2400 m, what is the speed of the airplane measured in m/s?

**Diagram Explanation:**
The diagram illustrates a small airplane executing a horizontal turn. The airplane is banked at an angle \( \theta \) of 24 degrees. The forces acting on the airplane are indicated:

- **L**: Lift force acting perpendicular to the plane's wings.
- **\( F_g \)**: Gravitational force acting downward.

The radius of the turn is specified as 2400 meters.

**Given Data:**
- Mass of the airplane, \( m \) = 1200 kg
- Banking angle, \( \theta \) = 24°
- Radius of turn, \( r \) = 2400 m

**Objective:**
Determine the speed of the airplane in meters per second (m/s).
Transcribed Image Text:### Horizontal Turn of a Small Airplane **Problem Statement:** A small airplane of mass 1200 kg is performing a horizontal turn. The turn requires the pilot to bank the plane with an angle \( \theta = 24^\circ \) as shown in the figure. If the radius of the turn is 2400 m, what is the speed of the airplane measured in m/s? **Diagram Explanation:** The diagram illustrates a small airplane executing a horizontal turn. The airplane is banked at an angle \( \theta \) of 24 degrees. The forces acting on the airplane are indicated: - **L**: Lift force acting perpendicular to the plane's wings. - **\( F_g \)**: Gravitational force acting downward. The radius of the turn is specified as 2400 meters. **Given Data:** - Mass of the airplane, \( m \) = 1200 kg - Banking angle, \( \theta \) = 24° - Radius of turn, \( r \) = 2400 m **Objective:** Determine the speed of the airplane in meters per second (m/s).
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