Thursday, January 19, 2012

Physics Behind Tiny Wings- Forces

Our tiny bird is on planet Neptune...
 With Tiny bird being on planet Neptune, he has gravity pulling him down at 11.46 meters/seconds^2.  Because the gravity is considerably more than what it is on earth, the bird will go down faster, and have a tendency to start to come down faster when in the air.  We realized that when the tiny bird was on the ground, there was a normal force, force of gravity, and a force of friction that was  slowing him down. (down below is the coefficient of friction).  Here are two pictures of the bird.  One is while he is in mid-air, and the only force acting on the bird is gravity.  The second is when he is on the turf.  These two pictures show the two different forces that act on the tiny bird in this game.  


     FORCES
  Force Normal= mass*gravity
     the mass of the bird (2.5 kg) times the gravity (11.46 m/s^2) equals 28.65 Newtons.  This is the normal force of our bird.


  Force of Friction= Fnormal*coefficient of friction
     our normal force (28.65 Newtons) times the coefficient of friction (.9) equals 25.785 Newtons.   This is our force of friction on our tiny bird.


  To find the Force of our bird, we looked at p=mv (momentum).  our momentum is 3.55 kg*m/s, and so we know the impulse, F*t, is equal to this momentum.  By knowing that the time is 1.182 seconds (solved in the projectile motion post), we can find the Force by plugging in the numbers.  
        F(1.182)=3.55  ==>>  F=3.00 Newtons
  Now that we found the Force of the bird, we plugged the equation into F=ma, and found that the acceleration of the bird was 1.2 m/s^2.  (3.00 Newtons=2.5kg*a)

force uk= .9, we assumed the surface to be a turf like surface.
link to coefficient of friction  







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