You are on an airplane that is landing. The plane in front of your plane blows a tire. The pilot of your plane is advised to abort the landing, so he pulls up, moving in a semicircular upward-bending path. The path has a radius of 500 m with a radial acceleration of 18 m/s2. What is the plane's speed?

Question

Physics

Beau Chapman

2 September, 00:14

You are on an airplane that is landing. The plane in front of your plane blows a tire. The pilot of your plane is advised to abort the landing, so he pulls up, moving in a semicircular upward-bending path. The path has a radius of 500 m with a radial acceleration of 18 m/s2. What is the plane's speed?

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Mathew Dickerson · Answer 1

Answer: plane speed is 94.87m/s

Explanation: since the plane move upward in a semicircular path, the acceleration is a centripetal acceleration with radius of 500metre. But the Centripetal acceleration is given as

Centripetal acceleration

= Speed ²/radius

Making speed subject of formula we have,

Speed² = centripetal acceleration*radius

Speed² = 18*500

=9000

Speed = √9000

= 94.87m/s