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.

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 = ?

$a_c=\frac{v^2}{r}$

$v^2=98 m/s^2\times 15 m$

$v=38.34 m/s$

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, $\frac{V^2}{15} =98$

solving this we get, V = 38.34 m/s