Respuesta :
The centripetal acceleration of an object is given by the relation,
[tex]Ac =V^2/R[/tex]
where Ac = centripetal acceleration = [tex]98 m/s^2[/tex]
R = radius of rotation = 15 m
V = speed of astronaut
Hence, [tex]\frac{V^2}{15} =98[/tex]
solving this we get, V = 38.34 m/s
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 = [tex] =a_c=98m/s^2[/tex]
Velocity of the astronaut in a device ,v = ?
[tex]a_c=\frac{v^2}{r}[/tex]
[tex]v^2=98 m/s^2\times 15 m[/tex]
[tex]v=38.34 m/s[/tex]
Hence,the speed of the astronaut in this device 38.34 m/s.
