## Homework Statement

Objects that are at rest relative to Earth's surface are in circular motion due to Earth's rotation. What is the radial acceleration of a painting hanging in a museum at a latitude of ϕ = 38.9° North? (Note that the object's radial acceleration is not directed toward the center of the Earth.)

## Homework Equations

ac=v^2/r v=(4*Pi^2*r)/t^2

## The Attempt at a Solution

ac=4Pi*2.3E13/576
im not sure what i'm doing wrong, any help? look at the attachment for more information

#### Attachments

• untitled.bmp
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Hootenanny
Staff Emeritus
Gold Member
Could you perhaps provide a little more detail in your solution. I'm not quite sure where your pulling some of those numbers from.

nasu
Gold Member
You forgot the square for pi (it's pi^2) and the units are mixed up.
You use the period in hours. I cannot figure out what unit you use for the radius...
Earth's radius is about 6400km (6.4 10^6 m). To get 10^13 we should measure it in fractions of microns or something....

Hootenanny
Staff Emeritus