Find the speed of the bird relative to the ground

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SUMMARY

The discussion centers on calculating the speed of a bird relative to the ground while it is in uniform circular motion combined with a constant upward velocity. The bird completes a circular path with a radius of 8.00 meters every 5.00 seconds and ascends vertically at a rate of 3.00 m/s. The correct approach involves determining both the horizontal and vertical components of the velocity, with the horizontal component derived from the circular motion's circumference. The final speed relative to the ground is the vector sum of these components.

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  • Understanding of uniform circular motion
  • Knowledge of vector addition in physics
  • Familiarity with basic kinematics
  • Ability to calculate circumference of a circle
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  • Calculate the horizontal component of velocity using the formula for circumference: C = 2πr
  • Learn about vector decomposition to analyze motion in two dimensions
  • Study the concept of relative velocity in physics
  • Explore the effects of acceleration on circular motion
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Students studying physics, particularly those focusing on kinematics and dynamics, as well as educators looking for examples of vector analysis in motion problems.

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Homework Statement



It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 8.00 every 5.00 and rises vertically at a rate of 3.00 .


Find the speed of the bird relative to the ground.
Find the magnitude of the bird's acceleration.
Find the direction of the bird's acceleration.
Find the angle between the bird's velocity vector and the horizontal.



Homework Equations



I used the relative velocity equation:

vector velocity = vector v' + Vector V

The Attempt at a Solution



I plugged in

vector velocity = 3 + (8/5) then I got the answer 4.6 m/s which is incorrect. I thought that this would be the right answer but its not.

So since this is wrong, the other parts wouldn't work either.

Thanks for helping!
 
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I'm a little confused by "speed of the bird relative to ground"... are they asking for the rate at which the height is changing (in this case the answer is just 3.00m/s)... or are they asking for the speed relative to a fixed position on the ground?

In the second case there are two components to the velocity... the vertical component and the horizontal component... The vertical component is 3.00m/s.

What is the horizontal component? it isn't 8/5... what is the circumference of a circle?
 
I have no idea what it is asking for? I tried the second case of your idea and it wasn't right also. Do you know if the equation that I used was correct?
 

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