Calculating Minimum Radius for a Stunt Plane Dive

In summary, the conversation discusses a stunt pilot who changes her course from a vertical dive to a circle in a vertical plane. The question is asked about the minimum radius of the circle in order to limit acceleration to 3.00 g. The pilot experiences an upward force when changing direction, pushing her downwards into her seat.
  • #1
nitro2109
2
0

Homework Statement



A 56.0 {\rm kg} stunt pilot who has been diving her airplane vertically pulls out of the dive by changing her course to a circle in a vertical plane.

Q? If the plane's speed at the lowest point of the circle is 100 {\rm m}/{\rm s}, what should the minimum radius of the circle be in order for the acceleration at this point not to exceed 3.00 g?
 
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  • #2
Well, what is he relationship between the pilot's acceleration, speed and radius of circular motion?
 
  • #3
thx 4 tryin but i got the answer thx... i still don't get the question tho...
 
  • #4
The pilot is diving downwards towards the Earth and then exits the dive by turning into a circle. When the direction of motion is changed she will experience an accelerating force from her seat pushing her upwards. According to N3 she pushes just as hard downwards on the seat, so she will descibe it as sinking into the seat.
 

FAQ: Calculating Minimum Radius for a Stunt Plane Dive

What is the purpose of calculating the minimum radius for a stunt plane dive?

The purpose of calculating the minimum radius for a stunt plane dive is to ensure the safety of the pilot and those on the ground. It is also important for the success of the stunt and to avoid any potential accidents.

What factors are involved in calculating the minimum radius for a stunt plane dive?

The factors involved in calculating the minimum radius for a stunt plane dive include the speed of the plane, the angle of the dive, the weight and size of the plane, and the altitude at which the stunt will be performed.

How do you calculate the minimum radius for a stunt plane dive?

To calculate the minimum radius for a stunt plane dive, you will need to use the formula: R = (V² * cosθ) / (g * tanθ), where R is the minimum radius, V is the speed of the plane, θ is the angle of the dive, and g is the acceleration due to gravity.

Why is it important to consider the altitude when calculating the minimum radius for a stunt plane dive?

The altitude at which the stunt is performed affects the air density, which in turn affects the lift and drag forces on the plane. These factors must be taken into account when calculating the minimum radius to ensure the safety and success of the stunt.

What are some potential consequences of not calculating the minimum radius for a stunt plane dive?

If the minimum radius is not calculated correctly, the stunt plane could potentially crash or lose control during the dive. This could result in serious injury or even death for the pilot and anyone on the ground. It could also damage the plane and be costly to repair.

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