Rotational Energy: Humanity's 10^13W Impact on Day Length

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SUMMARY

Humanity's energy consumption is approximately 1013 W. If this energy were extracted from Earth's rotation, it would take about 1.9 billion years to increase the length of a day by 1 minute. The calculation involves understanding Earth's rotational energy and the implications of altering its rotation period. This analysis highlights the vast scale of energy involved in planetary dynamics.

PREREQUISITES
  • Understanding of rotational energy concepts
  • Familiarity with energy consumption metrics
  • Basic knowledge of Earth's rotation and time measurement
  • Ability to perform long-term energy calculations
NEXT STEPS
  • Research the formula for calculating rotational energy of celestial bodies
  • Explore the implications of energy extraction on planetary dynamics
  • Learn about the Earth's energy budget and its components
  • Investigate historical changes in Earth's rotation and their causes
USEFUL FOR

Physicists, environmental scientists, and anyone interested in the long-term effects of energy consumption on planetary systems.

ingy489
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Homework Statement


Humanity uses energy at the rate of about 10^{13} \rm W.If we found a way to extract this energy from Earth's rotation, how long would it take before the length of the day increased by 1 minute?
Express your answer using one significant figure.


Homework Equations





The Attempt at a Solution

 
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ingy489 said:
Humanity uses energy at the rate of about 10^{13} \rm W.If we found a way to extract this energy from Earth's rotation, how long would it take before the length of the day increased by 1 minute?

Hi ingy489! :smile:

What is the rotational energy of the Earth now?

What would it be if the day was 1 minute longer? :smile:
 

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