1)The National Aeronautics and Space Administration (NASA) studiesthe physiological effects of large accelerations on astronauts.Some of these studies use a machine known as a centrifuge. Thismachine 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 6.9 times theacceleration due to gravity? (in m/s)
2)At an amusement park there is a ride in which cylindricallyshaped chambers spin around a central axis. People sit in seatsfacing the axis, their backs against the outer wall. At one instantthe outer wall moves at a speed of 4.0 m/s, and an 83 kg personfeels a 460 N force pressing against his back. What is the radiusof the chamber?
(in m)
3)A "swing" ride at a carnival consists of chairs that are swung ina circle by 12.0 m cables attached to a vertical rotating pole, asthe drawing shows. (? = 55.5°) Suppose the total mass of a chairand its occupant is 230 kg.
(a) Determine the tension in the cable attached to the chair.(inN)
(b) Find the speed of the chair.(in m/s)
1)The National Aeronautics and Space Administration (NASA) studiesthe physiological effects of large accelerations on astronauts.Some of these studies use a machine known as a centrifuge. Thismachine 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 6.9 times theacceleration due to gravity? (in m/s)
2)At an amusement park there is a ride in which cylindricallyshaped chambers spin around a central axis. People sit in seatsfacing the axis, their backs against the outer wall. At one instantthe outer wall moves at a speed of 4.0 m/s, and an 83 kg personfeels a 460 N force pressing against his back. What is the radiusof the chamber?
(in m)
3)A "swing" ride at a carnival consists of chairs that are swung ina circle by 12.0 m cables attached to a vertical rotating pole, asthe drawing shows. (? = 55.5°) Suppose the total mass of a chairand its occupant is 230 kg.
(a) Determine the tension in the cable attached to the chair.(inN)
(b) Find the speed of the chair.(in m/s)
