While a person is walking, his arms (with typical lengths 70 cm measured from th

Question

While a person is walking, his arms (with typical lengths 70 cm measured from the shoulder joint) swing through approximately a 45? angle in 0.5 s. As a reasonable approximation, we can assume that the arm moves with constant speed during each swing.

A.)What is the acceleration of a 1.1g drop of blood in the fingertips at the bottom of the swing?

B.Find the magnitude of the force that the blood vessel must exert on the drop of blood

C.)What force would the blood vessel exert if the arm were not swinging?

Explanation / Answer

since the arm is moving with constant speed and arm is covering 45 deg in 0.5 sec as a part of uniform circular motion

in a vertical plane

so acceleration = v2/ l

= 1.73 m/s2

b) so Normal reaction - mg = mv2 / l

= 0.013N

C) if arm not swinging , N = mg

= 0.011N

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