A student needs to measure the drag on a prototype of characteristic length d, moving at velocity U, in air at sea-level conditions. She constructs a model of characteristic length dm such that the ratio d,/dm = a factor f. She then measures the model drag under dynamically similar conditions in sea-level air. The student claims that the drag force on the prototype will be identical to that of the model.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A student needs to measure the drag on a prototype of characteristic length \(d_p\) moving at velocity \(U_p\) in air at sea-level conditions. She constructs a model of characteristic length \(d_m\) such that the ratio \(d_p/d_m =\) a factor \( f \). She then measures the model drag under dynamically similar conditions in sea-level air. The student claims that the drag force on the prototype will be identical to that of the model.

Is her claim correct? Explain, showing your work (no credit for just guessing).
Transcribed Image Text:A student needs to measure the drag on a prototype of characteristic length \(d_p\) moving at velocity \(U_p\) in air at sea-level conditions. She constructs a model of characteristic length \(d_m\) such that the ratio \(d_p/d_m =\) a factor \( f \). She then measures the model drag under dynamically similar conditions in sea-level air. The student claims that the drag force on the prototype will be identical to that of the model. Is her claim correct? Explain, showing your work (no credit for just guessing).
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