Suppose you fly a propeller-driven model air Plane on a 5.00m string in a horizontal circle. The airplane, which has a mass of 0.500 kg, flies level and at constant speed and makes one revolution every 4.00 seconds. How hard must string to keep the plane flying in a circle? you pull on the R= 5.00m a rad

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

Suppose you fly a propeller-driven model airplane on a 5.00 m string in a horizontal circle. The airplane, which has a mass of 0.500 kg, flies level and at constant speed and makes one revolution every 4.00 seconds. How hard must you pull on the string to keep the plane flying in a circle?

**Diagram Explanation:**

The diagram shows a top-down view of the airplane flying in a circle:

- A circle represents the flight path with a radius (R) labeled as 5.00 m.
- The model airplane is shown at a point on the circle, with an arrow labeled "v" indicating the direction of velocity, tangent to the circle.
- Another arrow points towards the center of the circle labeled "a_rad," indicating the direction of radial (centripetal) acceleration.
- The circle indicates one complete rotation around the center point where the string is attached. 

This setup represents uniform circular motion, where the centripetal force required to keep the airplane flying in a circular path is provided by the tension in the string.
Transcribed Image Text:**Problem Statement:** Suppose you fly a propeller-driven model airplane on a 5.00 m string in a horizontal circle. The airplane, which has a mass of 0.500 kg, flies level and at constant speed and makes one revolution every 4.00 seconds. How hard must you pull on the string to keep the plane flying in a circle? **Diagram Explanation:** The diagram shows a top-down view of the airplane flying in a circle: - A circle represents the flight path with a radius (R) labeled as 5.00 m. - The model airplane is shown at a point on the circle, with an arrow labeled "v" indicating the direction of velocity, tangent to the circle. - Another arrow points towards the center of the circle labeled "a_rad," indicating the direction of radial (centripetal) acceleration. - The circle indicates one complete rotation around the center point where the string is attached. This setup represents uniform circular motion, where the centripetal force required to keep the airplane flying in a circular path is provided by the tension in the string.
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