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- Homework Statement
- The rotation slows down slightly, about 2.5ms increase for a full rotation after 100 years. Calculate Hoe much rotation energy is lost during 100 years?

- Relevant Equations
- inertia, I=2/5 mr².

Inertia I = 2/5 mr² m=5.98* 10^24 kg.

r=6.38* 10^6 kg.

I= 9,736 * 10^37 kg.

Earth rotation is V= (2 * pi* R)/T = (2*pi*6.38*10^6m)/(24*3600s)=463 m/s

angular velocity w= V/r =463m/s/(6.38*10^6m)=7.27*10^-5 rad/s

Enerrgy, E= 0.5* I*w²=2.57*10^29 j

I get the same value when period is 24h+2.5ms. How to I calculate energy loss due to Earth rotation slows down.I don't understand how do I get the value of Energy loss? The change of

r=6.38* 10^6 kg.

I= 9,736 * 10^37 kg.

Earth rotation is V= (2 * pi* R)/T = (2*pi*6.38*10^6m)/(24*3600s)=463 m/s

angular velocity w= V/r =463m/s/(6.38*10^6m)=7.27*10^-5 rad/s

Enerrgy, E= 0.5* I*w²=2.57*10^29 j

I get the same value when period is 24h+2.5ms. How to I calculate energy loss due to Earth rotation slows down.I don't understand how do I get the value of Energy loss? The change of