Math  /  Word Problems

QuestionFind the rotation rate in revolutions per second for a 32.5ft32.5 \mathrm{ft} radius centrifuge to achieve 20.0 g20.0 \mathrm{~g} acceleration.

Studdy Solution
Calculate the value of ω\omegaω=643.48ft/s2407.15ft=1.26s1\omega = \sqrt{\frac{643.48 \, \mathrm{ft/s^2}}{407.15 \, \mathrm{ft}}} =1.26 \, \mathrm{s^{-1}}The rotation rate required to give the astronaut a centripetal acceleration of 20.0g20.0 \, g is 1.26s11.26 \, \mathrm{s^{-1}} or 1.261.26 revolutions per second.

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