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Projectile Motion with air drag

Projectile Motion with air drag. A Computer Lab for Calculus Based Physics Dr. Richard Taylor Department of Physics & Engineering Muskingum University. www.muskingum.edu/~richardt. Overview. Developing an Algorithm Kinematics Dynamics Algorithm Implementing the Algorithm MATLAB Excel

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Projectile Motion with air drag

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  1. Projectile Motion with air drag A Computer Lab for Calculus Based Physics Dr. Richard Taylor Department of Physics & Engineering Muskingum University www.muskingum.edu/~richardt

  2. Overview • Developing an Algorithm • Kinematics • Dynamics • Algorithm • Implementing the Algorithm • MATLAB • Excel • Calibrating the Program • Digitizing Real Data • Applying the Program • Determine the Initial Velocity • Turn Air Drag Off for Comparison

  3. Developing an Algorithm:Kinematics Air drag is a variable force. Therefore, acceleration is not constant! But… If the time interval is small, then acceleration can be treated as a constant.

  4. Developing an Algorithm:Dynamics

  5. Developing an Algorithm:Algorithm Constants & Initial Values

  6. Implementing the Algorithm:MATLAB

  7. Implementing the Algorithm:Excel

  8. Calibrating the Program Find the range for the no air drag problem by hand. Find the range using the program. Reduce the time interval in the program until the ranges agree.

  9. Digitizing Real Data

  10. Applying the Program:Determine the Launch Speed Adjust the launch speedin the program until the two curves overlap.

  11. Applying the Program:Turn Air Drag Off for Comparison

  12. Materials can be downloaded fromwww.muskingum.edu/~richardt/aapt2013

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