Circular Motion and Newton's Laws

To solve for F, you would need to plug in the values for T, m, v, r, and g. In summary, a model airplane with a mass of 7.50 flies in a horizontal circle with a speed of 35m/s at the end of a 60.0m control wire. The aerodynamic lift acts on the plane at an angle of 20 degrees West of North. To find the aerodynamic lift, you would need to use the scalar equations Fx -Tcos20 - Fsin20 = mv^2/r and Fy -Tsin20 + Fcos20 - mg = 0. The answer is 12.8N.
  • #1
rmarkatos
33
0
A model airplane of mass 7.50 with a speed 35m/s flies in a horizontal circle at the end of 60.0m control wire. Aerodynamic lift acts on the plane at an angle of 20 degrees West of North.

In the picture the book has the plane on the right. The weight is acting straight down, the tension is acting at angle of 20 degrees South of East and the aerodynamic lift is acting 20 degrees west of north.

Can someone set up the x and y scalar equations please. The answer is 12.8N. I have set it up 5 different ways and i can't seem to get the right answer.
 
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  • #2
You should show some work and post it in the homework help section next time. Now if you'll excuse me, I got to jet.

~Ciao
 
  • #3
Looks like this was moved to homework help, but rmarkatos had already posted there.

May be best to continue in the other thread.
 
  • #4
Fx -Tcos20 - Fsin20 = mv^2/r
Fy -Tsin20 + Fcos20 - mg = 0 where T is the tension and F is the aerodynamic lift

Those are the equations based on the picture described.
 

Related to Circular Motion and Newton's Laws

What is circular motion?

Circular motion is a type of motion where an object moves in a circular path around a fixed point. This type of motion is caused by a force acting perpendicular to the velocity of the object, which continuously changes the direction of the object's motion.

What is the difference between uniform and non-uniform circular motion?

Uniform circular motion is when an object moves in a circular path at a constant speed, while non-uniform circular motion is when the object's speed changes as it moves around the circle. In non-uniform circular motion, the direction of the object's velocity changes, causing its speed to vary.

How do Newton's laws apply to circular motion?

Newton's first law states that an object will continue to move in a straight line unless acted upon by an external force. In circular motion, this external force is the centripetal force that continuously changes the direction of the object's motion. Newton's second law applies to circular motion by stating that the magnitude of the centripetal force is equal to the mass of the object multiplied by its centripetal acceleration. Newton's third law applies in circular motion when the object exerts a force on the object causing the centripetal force, and the object exerts an equal and opposite force back on the object.

What is centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. It is always directed towards the center of the circle and is required to continuously change the direction of the object's velocity.

How do you calculate centripetal force?

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

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