Need Help With Calculating Forces (Circular Motion)

AI Thread Summary
To calculate the force exerted by the blood vessel on a drop of blood during arm swinging, the acceleration of the blood drop has been determined to be 1.7 m/s². The equation n-w = m(v²/r) is suggested for calculating the net force, but the user is struggling with its application. Clarification is requested on the definition of a "drop of blood," which is assumed to refer to a single drop within the arm. Additionally, there is a discussion about the nature of arm movement, questioning the assumption of constant speed and suggesting that the motion resembles harmonic motion rather than circular motion. The conversation highlights the complexities involved in modeling the forces during human movement.
kgianqu2
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While a person is walking, his arms (with typical lengths 70 cm measured from the shoulder joint) swing through approximately a 45 degree angle in 0.5 s. As a reasonable approximation, we can assume that the arm moves with constant speed during each swing.
Find the magnitude of the force that the blood vessel must exert on the drop of blood.

(I've already calculated the acceleration of 1.00 g drop of blood to be 1.7m/s^2.)

I've tried using n-w = m(v^2/r). Its not going so well. Is this the correct equation? Can you get me started? Thank you.
 
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could you explain what you mean by drop of blood?
 
That's all that the problem gives. I assume it just means one drop of blood that is in the arm.

Also I need to find: What force would the blood vessel exert if the arm were not swinging?
 
kgianqu2 said:
we can assume that the arm moves with constant speed during each swing.

How is that even possible? I mean in that case, the arm would move in a cycle! That's not how a man/woman usually walk... It's more like a harmonic motion, getting max when the angle is 0° and minimum when it's 90°! Did you think about that?

:P Sorry for the late reply!
 
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