If the Earth s Climate Continues to Warm Ice Near the Poles Will Melt
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As the earth's climate continues to warm, ice ncar the poles will melt end be added to the oceans. What effect will this have on the length of the day"? (Hint: Consult a map to see where the oceans lie.)
Related Question
If Earth's polar ice caps fully melted and the water returned to the oceans, the oceans would be deeper by about $30 \mathrm{~m}$. What effect would this have on Earth's rotation? Make an estimate of the resulting change in the length of the day. (Concern has been expressed that warming of the atmosphere resulting from industrial pollution could cause the ice caps to melt.)
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Video Transcript
Hi everyone in this question. They have given deal which is the ocean would be made deeper 30 m. And we take it here. The our value. This is the depth of the ocean initially is equal to the radius of the earth. So we can take it here or which is equal to 6371 km and a time we take it 24 hours. Because they have given that the Length of the day. So they have given change in the length of the day. They have given. So we take it three times 24 helpers. So we are going to say about what effect would this have on the earth rotation. So we dedicated that time period of the earth is present. T. And depth of the ocean or so angular momentum. We can take it here, christian yell which is equal to I. Omega. Here we can write yell which is eight times Omega was just to buy divided by T. Yet the angular momentum of health is constant. So yellow which is equal to I to pay. This is the rotational inertia of the would be proportional to the time period. So this inertia is proportional to I which is proportional to T. We can write and then I which is proportional to r square right? So we can write T. Which is proportional to or square. So our value they have given here. So change of time period of the earth related with period. You can write it guilty. The equation Guilty divided by T. Which is equal to two or it's deal or changing dip. This is debated by our square. So modify and write it here. We can cancel this art and Squire and we can get it dil T divided by T. Which is equal to two dill or divided by R. Now we substitute the value which is seen and this is for our for 6371 km T further 24 of us and the Delaware which is 30. Meet that so much we can write dill tea which is divided by 24 hours. So this is 24 is equal to two times this is 30 And divided by 6371. We had to simplify this and grated guilty value here so do guilty which is equal to two times 30. This is for 24 hours. So we can calculate by seconds. So 24 times 3600 seconds. It's divided by 6003, 171. It's multiplayer with meter. So we can write it 10 to the Power three. So now we simplify we can get that guilty value here 0.8 2nd. So from this we have say here time period of the earth about its axis of rotation would increase by so that time period 0.8 2nd. So time period about its axis of rotation. So time period of the earth boat. It's access of tradition would increase by The time is 0.8 seconds, so we can see the 0.8 2nd. Hope you understand. Thank you.
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