Answer:
[tex]a_c=1.57\frac{m}{s^2}[/tex]
Explanation:
In order to find its centripetal acceleration we need to use the next equation:
[tex]a_c=\frac{v^2}{r}[/tex]
So, we need to find its velocity in first place. Considering that the time T required for one complete revolution is called the period. For constant speed is given by:
[tex]T=\frac{2\pi r}{v}[/tex]
Solving for v, considering that in this case T=1.3min=78s, and r=242
[tex]v=\frac{2\pi *(242)}{78} =19.49398518m/s[/tex]
Finally, replacing v in the centripetal acceleration equation:
[tex]a_c=\frac{(19.49398518)^{2} }{242}=1.570311811m/s^2[/tex]
