Problem 10.23 Part A Calculate the magnitude of the angular momentum of the Venu

Question

Problem 10.23 Part A Calculate the magnitude of the angular momentum of the Venus in a circular orbit around the sun. The Venus has mass 4.87 Problem 10.23 Part A Calculate the magnitude of the angular momentum of the Venus in a circular orbit around the sun. The Venus has mass 4.87 Problem 10.23 Problem 10.23 Part A Calculate the magnitude of the angular momentum of the Venus in a circular orbit around the sun. The Venus has mass 4.87 Part A Calculate the magnitude of the angular momentum of the Venus in a circular orbit around the sun. The Venus has mass 4.87 Part A Calculate the magnitude of the angular momentum of the Venus in a circular orbit around the sun. The Venus has mass 4.87

Explanation / Answer

a)

Orbital angular velocity

W=2pi/T =2pi/(224.7*24*60*60)

W=3.2364*10-7 rad/s

Moment of inertia

I=MR2 =(4.87*1024)(1.08*1011)2

I=5.68*1046 kg-m2

Angular momentum

L=I*W =(5.68*1046)(3.2364*10-7)

L=1.84*1040 kg-m2/s

b)

No

c)

Moment of inertia of sphere

I=(2/5)mR2 =(2/5)(5.68*1046)

I=2.27*1046kg-m2

Angular momentum

L' =(2.27*1046)(3.2364*10-7)

L'=7.35*1039 kg-m2/s

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