pauladancer said:What is the minimum speed that a glider must fly in order to make a perfect vertical circle in the air if the circle has a radius of 200.0 m?
pauladancer said:Homework Statement
What is the minimum speed that a glider must fly in order to make a perfect vertical circle in the air if the circle has a radius of 200.0 m?
Homework Equations
Fc = mv2 / r
V = 2(Pi)r / T
The Attempt at a Solution
I have drawn the free body diagram and I think that the formula should be Fg = mv2 / r but I am confused why there is no mass given in the question. Is there a way that I can solve for the mass?
the solution is independent of mass ! acceleration is the important quantitypauladancer said:Homework Statement
What is the minimum speed that a glider must fly in order to make a perfect vertical circle in the air if the circle has a radius of 200.0 m?
Homework Equations
Fc = mv2 / r
V = 2(Pi)r / T
The Attempt at a Solution
I have drawn the free body diagram and I think that the formula should be Fg = mv2 / r but I am confused why there is no mass given in the question. Is there a way that I can solve for the mass?
The problem statement is a glider flying in a vertical circle. At the top, the acceleration only needs to be equal to v2 / r, where r is the radius of the circle, and with the glider generating negative lift (upwards force on inverted glider), the centripetal acceleration can be less than 1 g, with a corresponding lower speed.lychette said:the question asks for the MINIMUM speed to complete the vertical circle so the ACCELERATION at the top of the circle must equal 'g' ( g= v2 /r ).
A glider and vertical circle question is a type of physics problem that involves a glider traveling along a circular path, either horizontally or vertically, while experiencing various forces such as gravity, friction, and tension.
The key concepts involved in solving a glider and vertical circle question include Newton's laws of motion, centripetal force, free body diagrams, and understanding the components of forces acting on the glider at different points along the circular path.
The speed of a glider in a vertical circle can be determined using the equation v = √(rg), where v is the speed, r is the radius of the circle, and g is the acceleration due to gravity. This equation assumes that the glider is moving at a constant speed and does not include the effects of air resistance.
The main difference between a glider moving in a horizontal circle and a vertical circle is the direction of the centripetal force. In a horizontal circle, the force acts towards the center of the circle, while in a vertical circle, the force acts towards the bottom of the circle.
Friction can be accounted for by including it as a force in the free body diagram of the glider. The direction of the friction force will depend on the direction of the glider's motion and can either help or hinder the glider's movement along the circular path.