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

Speed of astronaut = 38.34 m/s

Step-by-step explanation:

Centripetal acceleration is given by the expression,
`a=(v^2)/(r)`, where v is the velocity and r is the radius.

Here centripetal acceleration is given, radius is given, we need to find velocity.

Centripetal acceleration = 98 m/s²

Radius = 15 m.

We have,

`a=(v^2)/(r) \\ \\ 98=(v^2)/(15) \\ \\ v=38.34m/s`

Speed of astronaut = 38.34 m/s