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The National Aeronautics and Space Administration (NASA) studies the physiologic

ID: 1708942 • Letter: T

Question

The National Aeronautics and Space Administration (NASA) studies the physiological effects of large accelerations on astronauts. Some of these studies use a machine known as a centrifuge. This machine consists of a long arm, to one end of which is attached a chamber in which the astronaut sits. The other end of the arm is connected to an axis about which the arm and chamber can be rotated. The astronaut moves on a circular path, much like a model airplane flying in a circle on a guideline. The chamber is located 15 m from the center of the circle. At what speed must the chamber move so that an astronaut is subjected to 5.7 times the acceleration due to gravity?

Explanation / Answer

ac = 4pie^2 * r * f^2 =5*9.8=4.9 thus f= 0.2876 rotations per second should be the speed