Noah Formula is in airplane which is flying at constant speed in a circular course of radius 5000 m., circling O'Hare Airport prior to landing. Noah observes that the plane completes each round trip in 400 seconds. What is the speed of the airplane? What is centripetal acceleration?

Respuesta :

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.

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