2014 F = ma Exam — Question 13 — Physics Guide

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F = ma (11–17)

Dimensional Analysis

FMA-2014-13 · 2014 F = ma (AAPT)

2014 F = ma Exam — Question 13

The following information applies to questions 12 and 13 A paper helicopter with rotor radius r and weight W is dropped from a height h in air with a density of ρ. r Assuming that the helicopter quickly reaches terminal velocity, a function for the time of ﬂight T can be found in the form T = khαrβρδW ω. where k is an unknown dimensionless constant (actually, 1.164). α, β, δ, and ω are constant exponents to be determined. 13. Determine β. — Source: Question 13, 2014 F = ma Exam, © 2014 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.

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F = ma problems are © the American Association of Physics Teachers (AAPT) and the U.S. Physics Team, the original source, and are used with permission. Problems shown here are adaptations: they have been reformatted by Physics Guide into separate question and answer-choice pieces for online multiple-choice practice. Physics Guide is an independent student project and is not affiliated with, endorsed by, operated by, or supported by AAPT, F = ma, USAPhO, or the U.S. Physics Team.

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