A crew of scientists has built a new space station. The space station is shaped like a wheel of radius R, with essentially all its mass M at the rim. When the crew arrives, the station will be set rotating at a rate that causes an object at the rim to have radial acceleration g, thereby simulating Earth’s surface gravity. This is accomplished by two small rockets, each with thrust T newtons, mounted on the station’s rim. How long a time t does one need to fire the rockets to achieve the desired condition?
Answer Choices
A. t=\sqrt{g R^{3}} M /(2 T)
B. t=\sqrt{g R} M /(2 T)
C. t=\sqrt{g R} M / T
D. t=\sqrt{g R / \pi} M / T
E. t=\sqrt{g R} M /(\pi T)