mass=1.2E5*12.5/(69)^2
recheck that.
NASA wants to build a centrifuge to train its astronauts to handle the strong accelerations they will experience when the space shuttle lifts off. A composite material capable of withstanding a normal force of 120000N without rupturing is used to manufacture the base of the cabin on which the astronaut's seat rests. What is the maximum mass that this base can support without rupturing when the apparatus turns at a velocity of 250km/h and the astronaut's cabin is located at a distance of 12.5m from the centre of the rotation?
So first I converted 250km/h into 250000m/3600s = 69m/s
Then since the normal force FN = 120000N, then I guess the centripetal force Fc = 120000N as well, just in the opposite direction. (So would it make sense that I interpret the FN being the force that resists against the Fc and they are equal magnitude?)
Then the equation:
Fc = mv^2/r
120000N = ((m)(69m/s)^2)/12.5m
m = 311.04kg = 310kg
Correct or not? If not, please explain where I went wrong.
2 answers
But my final answer is correct?
2 answers