Answer with Explanation:
We are given that
Diameter of fighter plane=2.3 m
Radius=[tex]r=\frac{d}{2}=\frac{2.3}{2}=1.15 m[/tex]
a.We have to find the angular velocity in radians per second if it spins=1200 rev/min
Frequency=[tex]\frac{1200}{60}=20 Hz[/tex]
1 minute=60 seconds
Angular velocity=[tex]\omega=2\pi f[/tex]
Angular velocity=[tex]2\times \frac{22}{7}\times 20=125.7 rad/s[/tex]
b.We have to find the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac.
[tex]v=r\omega=1.15\times 125.7=144.56 m/s[/tex]
c.Centripetal acceleration=[tex]\omega^2 r=(125.7)^2(1.15)=18170.56 m/s^2[/tex]
Centripetal acceleration==[tex]\frac{18170.56\times g}{9.81}=1852.25 g m/s^2[/tex]