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## Homework Statement

The Earth's radius is 6371 km. If the Earth's radius were to increase by 30 m (0.03 km), but no change in mass, by what percentage would the Earth's rotational period increase? (Model the Earth as a uniform sphere)

## Homework Equations

∑Torque = Iα

v = rω

a = rα

KE = (1/2)Iω^2

## The Attempt at a Solution

Moment of inertia for a sphere is (2/5)mr^2, so ∑Torque = (2/5)mr^2 * (a/r)