How Is Centripetal Force Calculated for a Bird Pulling Out of a Dive?

Click For Summary
SUMMARY

The discussion focuses on calculating the centripetal force exerted on a bird of mass 0.211 kg as it pulls out of a dive along a circular arc with a radius of 25.6 m and a constant speed of 21.7 m/s. The relevant equations include Fc = -mv²/r for centripetal force and the relationship between upward lift and gravitational force. The upward lift force at the bottom of the arc is determined by balancing the centripetal force with gravitational force. The derivation of the centripetal force equation from Newton's second law (F=ma) is also explored.

PREREQUISITES
  • Understanding of centripetal force and its calculation
  • Basic knowledge of Newton's laws of motion
  • Familiarity with circular motion concepts
  • Ability to perform basic algebraic substitutions in physics equations
NEXT STEPS
  • Study the derivation of centripetal force from F=ma in detail
  • Explore the concept of lift in aerodynamics, particularly for birds
  • Investigate the effects of speed and radius on centripetal force
  • Learn about the dynamics of circular motion in different contexts, such as vehicles and satellites
USEFUL FOR

Students studying physics, particularly those interested in mechanics and circular motion, as well as educators seeking to clarify concepts related to centripetal force and lift in avian flight.

Fractal314
Messages
14
Reaction score
0
1. A bird of mass 0.211kg pulls out of a dive, the bottom of which can be considered to be a circular arc with a radius of 25.6m. At the bottom of the arc, the bird's speed is a constant 21.7m/s. Determine the magnitude of the upward lift on the bird's wings at the bottom of the arc.

I am pretty sure that Fc= -4(pi squared)(r)(m)(f) / Tsquared

and... Fc= -mv squared / r

r= radius, m= mass, Fc = centripetal force

3. Ok so I don't understand what it means by "pulling out of a dive", I mean is that supposed to be part of the arc? This question is put under the heading centripetal force in my textbook but I don't understand how it is centripetal. Furthermore, if all is well, does it come down to the question being as simple as subbing in the values to the equation I have here.


Also, can anybody tell me how the centripetal force equation is derived from F=MA? I am lost on that too.:blushing:
 
Physics news on Phys.org
On the bottom of the dive there is the upward lift force pulling it up and also gravity pulling the bird down. so Fc= Upward lift force - Fg
 

Similar threads

Replies
16
Views
954
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 9 ·
Replies
9
Views
5K
Replies
31
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K