ssm How long does ittake a plane, traveling at a constant speed of 130 m/s, to f

Question

ssm How long does ittake a plane, traveling at a constant speed of 130 m/s, to fly once around a circle whose radius is3100 m?
1s


A car travels at a constant speed around a circular track whoseradius is 2.7 km. The car goes once aroundthe track in 420 s. What is the magnitudeof the centripetal acceleration of the car?
1 m/s2




The National Aeronautics and Space Administration (NASA)studies the physiological effects of large accelerations onastronauts. Some of these studies use a machine known as acentrifuge. This machine consists of a long arm, to one end ofwhich is attached a chamber in which the astronaut sits. The otherend of the arm is connected to an axis about which the arm andchamber can be rotated. The astronaut moves on a circular path,much like a model airplane flying in a circle on a guideline. Thechamber is located 15 m from the center of the circle. At whatspeed must the chamber move so that an astronaut is subjected to4.5 times the acceleration due togravity?
1 m/s

Explanation / Answer

First question: .    distance = 2r         distance = speed * time .          2r = v * t .    t = 2r / v = 2 * 3100 /130 = 150 seconds . Second queston: . speed of car = distance / time = 2r / t = 2 * 2700 meters / 420 seconds =   40.392 m/s .    centrip acc = v2 /r = 40.3922 / 2700 =   0.604m/s2 . Third question: .     4.5 g = 4.5 * 9.8 =    44.1 m/s2 . centrip acc = v2 /r          v = ar = 44.1 * 15 =    25.7m/s . centrip acc = v2 /r          v = ar = 44.1 * 15 =    25.7m/s

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