Question

Astronauts often undergo special training in which they are subjected to extremely high centripetal accelerations. One device has a radius of 15 m and can accelerate a person at 98 m/s2. What is the speed of the astronaut in this device?

Answer 1

Answer: The speed of the astronaut in this device 38.34 m/s.

Step-by-step explanation:

Radius of the device ,r = 15 m

Acceleration of the device =
`=a_c=98m/s^2`

Velocity of the astronaut in a device ,v = ?

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

`v^2=98 m/s^2* 15 m`

`v=38.34 m/s`

Hence,the speed of the astronaut in this device 38.34 m/s.

Answer 2

The centripetal acceleration of an object is given by the relation,

`Ac =V^2/R`

where Ac = centripetal acceleration =
`98 m/s^2`

R = radius of rotation = 15 m

V = speed of astronaut

Hence,
`(V^2)/(15) =98`

solving this we get, V = 38.34 m/s