Answered

In civil aviation, a "standard turn" for level flight of a propeller-driven airplane is one in which the airplane makes a complete circular turn in 2 min. If the plane's speed is 179 m/s, what is the radius of the circle? Answer in units of km. What is the centripetal acceleration of the plane? Answer in units of m/s^2.

Answer :

AMB000

Answer:

[tex]r=3418m[/tex]

[tex]a_{cp}=9.37m/s^2[/tex]

Explanation:

The plane makes a complete circular turn at v=179m/s in 120s, so we can calculate the circumference of this circle with C=vt since it is the distance traveled.

Since the relation between the circumference and the radius is [tex]C=2\pi r[/tex], we have:

[tex]r=\frac{C}{2\pi}=\frac{vt}{2\pi}[/tex]

Substituting our values:

[tex]r=\frac{vt}{2\pi}=\frac{(179m/s)(120s)}{2\pi}=3418m[/tex]

The centripetal acceleration is then calculated using its formula:

[tex]a_{cp}=\frac{v^2}{r}=\frac{(179m/s)^2}{(3418m)}=9.37m/s^2[/tex]

Other Questions