Question

An eagle is circling looking for prey, it completes a circle of radius 10 m every 5 s. Birds can use their skills to make air exert a force on them in any direction.

1. a) Draw a diagrams of the eagle’s motion, indicate the velocity vector and the coordinate

   system.

2. b) What are the linear and angular speed of the eagle?

3. c) If the eagle increases its speed over thirty seconds, to complete one circle (r=10m) every 3s,

   calculate the angular displacement during the acceleration period.

4. d) If the eagle stabilizes its speed, and the mass of the eagle is 1.5kg, draw a free body diagram

   showing the force of gravity and the force from the air.

5. e) Write down a Newton’s second law equation, and use it to determine an expression for the

   magnitude of the eagle’s acceleration and the horizontal force from the air.

6. f) If the eagle flies in a vertical circle, with the same speed as above, (10m radius once every

3s) find the force on the eagle from the air at the bottom of the circle (use a diagram and show your reasoning).

Answer 1