Loop the loop question, given only radius.

In summary, the minimum velocity needed to complete a loop the loop can be calculated using v = √(rg), where v is the minimum velocity, r is the radius, and g is the acceleration due to gravity. Not all radii can be used to create a loop the loop, as the radius must be large enough to allow for the necessary centripetal force. The radius and height of a loop the loop are directly proportional, meaning they both must increase for the object to complete the loop. It is not possible to have a loop the loop with a radius of 0, as this would result in an infinitely tight loop. The radius of a loop the loop can affect the forces acting on an object, with larger radii
  • #1
marvolo1300
15
0
How fast must a plan fly in a loop-de-loop if the pilot experiences no force from either the seat or the safety belt when he is at the top of the loop?

I just need to be pointed in the right direction. Thanks in advance for your help.
 
Last edited:
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  • #2
His weight becomes the centripetal force.
 

1. How do you calculate the minimum velocity needed to complete a loop the loop given only the radius?

In order to calculate the minimum velocity needed to complete a loop the loop, you can use the equation v = √(rg), where v is the minimum velocity, r is the radius, and g is the acceleration due to gravity (9.8 m/s²).

2. Can any radius be used to create a loop the loop?

No, not all radii can be used to create a loop the loop. The radius must be large enough to allow for the necessary centripetal force to keep the object moving in a circular motion.

3. What is the relationship between the radius and the height of a loop the loop?

The radius and height of a loop the loop are directly proportional. This means that as the radius increases, the height of the loop must also increase in order for the object to complete the loop.

4. Is it possible to have a loop the loop with a radius of 0?

No, it is not possible to have a loop the loop with a radius of 0. This would result in an infinitely tight loop, which is physically impossible to achieve.

5. Can the radius of a loop the loop affect the forces acting on an object?

Yes, the radius of a loop the loop can affect the forces acting on an object. A larger radius will require a larger centripetal force, and therefore a greater velocity, to keep the object moving in a circular motion. A smaller radius will require a smaller centripetal force and velocity.

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