Centripetal Force: Find Min Radius of Airplane Path

In summary, centripetal force is the force that directs an object towards the center of a circular path. It can be calculated using the formula Fc = mv^2/r and is important for determining the minimum radius of an airplane's path. The velocity of the airplane directly affects the minimum radius, and other factors such as mass and external forces can also impact it.
  • #1
DJB1991
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0

Homework Statement



An Airplane is flying ina horizontal circle at a speed of 141 m/s. The 94.2 Kg pilot does not want his radial acceleration to exceed 8.88 g.

What is the minimum radius of the circular path?

Homework Equations



v^2/r
Fnet = M x A

The Attempt at a Solution



141^2 / .00888 kg?
 
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  • #2
Just try equating f=ma with your centripetal force. Then re-arrange for r. Think about what 8.88g is interns of acceleration
 

Related to Centripetal Force: Find Min Radius of Airplane Path

1. What is centripetal force?

Centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle.

2. How is centripetal force calculated?

Centripetal force can be calculated using the formula Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.

3. What is the purpose of finding the minimum radius of an airplane's path?

The minimum radius of an airplane's path is important to determine in order to ensure that the airplane can safely complete the turn without experiencing too much centripetal force. It is also useful in planning flight routes and avoiding potential obstacles.

4. How does the velocity of an airplane affect the minimum radius of its path?

The velocity of an airplane directly affects the minimum radius of its path. As the velocity increases, the minimum radius decreases, meaning that the airplane can make tighter turns at higher speeds. This is due to the fact that a higher velocity requires a greater centripetal force to keep the airplane in its circular path.

5. What factors can affect the minimum radius of an airplane's path?

The minimum radius of an airplane's path can be affected by several factors, including the airplane's velocity, mass, and the force acting on it. Other factors such as air density, air resistance, and wind also play a role in determining the minimum radius of an airplane's path.

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