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

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SUMMARY

The discussion focuses on calculating the acceleration of an airplane using a watch tied to a string, which makes a 25-degree angle with the vertical during takeoff. The acceleration is observed over a duration of 18 seconds. Participants suggest using a free body diagram to analyze the forces acting on the watch, specifically the tension (T) in the string and the mass (m) of the watch, to derive the acceleration of the plane. The key takeaway is that the mass of the watch and the tension in the string are not necessary to determine the acceleration, as the angle and time provide sufficient information for calculation.

PREREQUISITES
  • Understanding of basic physics concepts, particularly Newton's laws of motion.
  • Familiarity with free body diagrams and vector resolution.
  • Knowledge of trigonometric functions, specifically sine and cosine.
  • Basic algebra skills for solving equations.
NEXT STEPS
  • Study the application of Newton's second law in non-vertical motion scenarios.
  • Learn about vector decomposition in physics, focusing on inclined planes.
  • Explore the concept of tension in strings and its role in dynamic systems.
  • Investigate the effects of acceleration on objects in motion, particularly in aviation contexts.
USEFUL FOR

Physics students, aerospace engineers, and anyone interested in understanding the dynamics of acceleration in aviation scenarios.

engineer2010
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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 acceleration takes about 18s. What is the acceleration 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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