Lab 6 - Air Drag.docx

Lab 6 - Air Drag.docx - Mackenzie Corbin Shannon Hawkins...

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Mackenzie Corbin Shannon Hawkins Air Drag Abstract Using coffee filters and a sonic ranger, we confirmed the expression for air drag from Newton’s second law of motion. That is, we show that the magnitude of air drag for falling coffee filters is f =+ k v s . This law implies that the terminal velocity is proportional to one over the s power of mass. We verified this experimentally by obtaining a v t -m graph, where k =10.2181 N ( m s ) s and s = 2.1478 Also, we expect a linear relationship in the logarithm graph of lnv t -lnm with an expected error, where k = 9.4084 ± 0.603 N ( m s ) s and s = 2.1436 ± 0.0207. By comparing the slope of the latter graph with the theoretical inverse of the power, we found that percent discrepancy = 7% Theory According to Newton’s second law of motion, the sum of forces F is proportional to the mass of the object m multiplied by acceleration a of the system. Using the force diagram (See Fig. 1) the following force equation can be derived, when an object falling under the influence of gravity with an air drag force, mg k v t s = ma . By setting acceleration equal to zero, terminal velocity can be determined through v t = ( mg k ) 1 s (1). In order to find the linear
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  • Fall '13
  • Nickas
  • Physics, Drag equation, terminal velocity, Stokes' law, Coffee Filters

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