Answer:
The centripetal acceleration of the object is [tex]31550.72\ m/s^2[/tex].
Explanation:
We have,
Radius of a circular path is 200 m
It takes 5 seconds to complete 10 revolutions. The angular velocity of the object is given by the rate of change of angular displacement per unit time :
[tex]\omega=\dfrac{\Delta \theta}{\Delta t}\\\\\omega=\dfrac{2\pi \times 10}{5}\\\\\omega=12.56\ rad/s[/tex]
The centripetal acceleration of the object is given by :
[tex]a=\omega^2 r\\\\a=(12.56)^2 \times 200\\\\a=31550.72\ m/s^2[/tex]
So, the centripetal acceleration of the object is [tex]31550.72\ m/s^2[/tex].