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**1. Homework Statement**

m=55kg

r=6400km

The earths rotation increases so on a bathroom scale, it now reads that you weight 0.

how long is 1 "day" on Earth?

**2. Homework Equations**

I keep trying to figure this one out, but with different ways Ive tried, I put Fg as 0 and it basically negates my whole equation. The section in the course we are on right now is Centrapetal force and gravitation.

**3. The Attempt at a Solution**

This is the one "answer" Ive gotten but it seems a little too easy.

f

_{net}=ma

f

_{c}=ma

_{c}

f

_{c}=mv

^{2}/r

mg=mv

^{2}/r

g=v

^{2}/r

√rg=v

plug in the radius in metres, 9.8 for g to get v, and then solve with 2∏r/v which is the same a d/v=t.

any help? :(