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

[ingy489]

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

 

[tiny-tim]

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!

What is the rotational energy of the Earth now?

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