D) a space station, consisting of a long thin uniform rod of mass 3.3 x 10^6 kg
ID: 2077380 • Letter: D
Question
D) a space station, consisting of a long thin uniform rod of mass 3.3 x 10^6 kg and length 405 meters, with two identical uniform hollow spheres, each of mass 2.2 x 10^6 kg and radius 189 meters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! 90 degree perspectve shift so you're looking straight along the new rotation axis (d) Let's start again with the station not rotating, and back to its original size, with the rod again at C. Do meters long. This time, we would like to get the station rotating at a rate of F, elc rad/s, but now about an axis that passes straight down the length of the rod. We will accomplish this by placing a pair of rocket engines as shown, each again with a thrust of G. 4.0 x 106 N, on one of the spherical end modules. How long must these engines fire in order to get the station's angular velocity up to F l4 rad/s? Answer: minutesExplanation / Answer
Torque*time = change in angular momentum
4e6*2*189*t = 2*2/3*(2.2e6*189^2)*0.14
t = [ 2*2/3*(2.2e6*189^2)*0.14] /[ 4e6*2*189]
= 9.702 s answer
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.