How Can You Calculate Plane Acceleration with a Watch on a String?

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To calculate the acceleration of a plane using a watch on a string, one can analyze the forces acting on the watch. A free body diagram reveals that the tension in the string (T) and the gravitational force (mg) must be considered, with the angle of 25 degrees affecting the components of these forces. The acceleration can be derived by applying Newton's second law, resulting in equations that relate T and m to the acceleration. Although the mass of the watch and the tension are unknown, they can be treated as variables in the equations. Ultimately, the acceleration can be calculated by solving the resulting equations based on the given angle and time of acceleration.
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Another Problem

A watch is tied to a string on an airplane. As the airplane takes off the string makes an angle of 25* to the vertical. The accleration takes about 18s. What is the accleration of the plane.

I drew a free body diagram, but I am confused as to how I would solve this without knowing the mass of the watch or the tension of the string.
 
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Just call the tension T and the mass m and solve for the acceleration.
 

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