What is the average angular velocity of his arms and legs? Using the average ang

Question

What is the average angular velocity of his arms and legs? Using the average angular velocity from part A, calculate the amount of rotational kinetic energy in this person's arms and legs as he walks. Using the average angular velocity from part A, calculate the amount of rotational kinetic energy in this person's arms and legs as he walks. What is the total kinetic energy due to both his forward motion and his rotation? What is the total kinetic energy due to both his forward motion and his rotation? What percentage of his kinetic energy is due to the rotation of his legs and arms?

Explanation / Answer

average angular velocity of his arms and legs.
w_aver=30/1=(30degree per sec)=0.52(rad/s)
Weight of his arms
m1 = 13%*73=9.5.(kg)
moment of inertia of his arms.
I1=ml^2/12+ml^2/4=ml^2/3= 1.38(kgm^2).
moment of his legs.
I2=m'l'^2/3=8(kgm^2).
so total rotational energy.
W_rot= 0.5*(I1+I2)*w_aver^2=1.27(J).

the linear motion energy of his body.

W_lin=(73-9.5-27.74)*0.5*(5.5km/h)^2=17.88*1.52^2=41.3(J)

so total energy

W_total=41.3+1.27=42.6(J).

the fraction of W_total over W_total

H=3%

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