(TCO 4) This question requires a numeric or algebraic answer. In order to receiv
ID: 1445967 • Letter: #
Question
(TCO 4) This question requires a numeric or algebraic answer. In order to receive full credit for this problem, you must show all your work. To show your work for this problem, you may scan neatly handwritten work or type up your work in MS Word using the equation editor and submit it using the Midterm Dropbox. You should make your submissions after you complete the exam. Astronauts use a centrifuge to simulate the acceleration of a rocket launch. The centrifuge takes 30 s to speed up from rest to its top speed of one rotation every 1.3 s. The astronaut is strapped into a seat 6.0 m from the axis of the centrifuge. What is the astronaut’s tangential acceleration during the first 30 s? How many gs of acceleration does the astronaut experience when the centrifuge is rotating at its top speed? Each 9.8 m/s2 of acceleration is 1 g. (Points : 20)
Explanation / Answer
Given T = 1.30 sec
Thus by = 2/T
=> = (2 x 3.14)/1.30 = 4.83rad/sec
By (final) = (initial) + t
=>4.83 = 0 + x 30
=> = 0.161rad/sec^2
Thus by a = r
=>a = 6.0x 0.161
=>a = 0.966 m/s^2
2) By F = mv^2/r = mr^2 {as v = r}
=>ma = mr^2
=>a = r^2
=>a/g = r^2/g = [6.0 x (4.83)^2]/9.8 = 14.28g
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