As their booster rockets separate, Space Shuttle astronauts typically feel accel

Question

As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm that then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.04g while in circular motion with radius 9.3 m. revolutions per second

Explanation / Answer

acceleration=3.04g
radius =9.3m
acceleration=rw*w where w=angular speed=2*p*n/t so 3.04*9.8=9.3w*w so w=1.7898rad/sec but we know that w=2*p*n/t=>2*3.14*n/1sec=1.7898 so n=0.2850 so the rotation rate=0.2850rev/sec
acceleration=rw*w where w=angular speed=2*p*n/t so 3.04*9.8=9.3w*w so w=1.7898rad/sec but we know that w=2*p*n/t=>2*3.14*n/1sec=1.7898 so n=0.2850 so the rotation rate=0.2850rev/sec

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.