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 achamber in which the astronaut sits. The other end of the arm isconnected to an axis about which the arm and chamber can berotated. The astronaut moves on a circular path, much like a modelairplane flying in a circle on a guideline. The chamber is located15 m from the center of the circle. At what speed must the chambermove so that an astronaut is subjected to 3.4 times the acceleration due to gravity?