Answer:
(a). The speed of the airplane is 78.53 m/s.
(b). The centripetal acceleration 1.234 m/s².
Explanation:
Given that,
Radius = 5000 m
Time = 400 second
We need to calculate the speed of the airplane
Using formula of speed
[tex]v=\dfrac{d}{t}[/tex]
[tex]v= \dfrac{2\pi r}{t}[/tex]
Put the value into the formula
[tex]v=\dfrac{2\times\pi\times5000}{400}[/tex]
[tex]v=78.53\ m/s[/tex]
We need to calculate the centripetal acceleration
Using formula formula
[tex]a=\dfrac{v^2}{r}[/tex]
Put the value into the formula
[tex]a=\dfrac{78.53^2}{5000}[/tex]
[tex]a=1.234\ m/s^2[/tex]
Hence, (a). The speed of the airplane is 78.53 m/s.
(b). The centripetal acceleration 1.234 m/s².