- #1
Bashyboy
- 1,419
- 5
The problem is:
"Model the Earth as a uniform sphere. Calculate the angular momentum of the Earth due to its spinning motion about its axis."
So, I first pointed out the the Earth rotates about its axis in 24 hrs x 3600 s / 1 hrs = 86400 s
Then I noted that a fixed point on the Earth rotates through a angle of 2pi, tracing out the circumference of the earth, in 86400s: [itex]\omega=\frac{2\pi}{86400s}=7.27\cdot 10^{-5}[/itex]
The rotational inertia of the sphere being [itex]I=2/3MR^2[/itex]
Angular momentum being [itex]L=(2/3)(5.97\cdot 10^{24})(6.37\cdot 10^6)^2(7.27\cdot 10^{-5}=1.17\cdot 10^{34} kg\cdot m^2/s[/itex] However, this answer is wrong. What did do wrong?
"Model the Earth as a uniform sphere. Calculate the angular momentum of the Earth due to its spinning motion about its axis."
So, I first pointed out the the Earth rotates about its axis in 24 hrs x 3600 s / 1 hrs = 86400 s
Then I noted that a fixed point on the Earth rotates through a angle of 2pi, tracing out the circumference of the earth, in 86400s: [itex]\omega=\frac{2\pi}{86400s}=7.27\cdot 10^{-5}[/itex]
The rotational inertia of the sphere being [itex]I=2/3MR^2[/itex]
Angular momentum being [itex]L=(2/3)(5.97\cdot 10^{24})(6.37\cdot 10^6)^2(7.27\cdot 10^{-5}=1.17\cdot 10^{34} kg\cdot m^2/s[/itex] However, this answer is wrong. What did do wrong?