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 13.0 m from the center of the circle. At what speed must the chamber move so that an astronaut is subjected to 4.50 times the acceleration due to gravity?

Answer 1

`v = 23.95 m/s`

Step-by-step explanation:

As we know that when astronaut is revolving in circular path then the acceleration of the astronaut is due to centripetal acceleration

so it is given as

`a_c = (v^2)/(R)`

here we know that

`a_c = 4.50 g`

also we know that

`R = 13 m`

now we have

`4.50 * 9.81 = (v^2)/(13)`

`v = 23.95 m/s`