Centripetal acceleration of Neutron stars

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SUMMARY

The discussion focuses on calculating the centripetal acceleration of neutron star matter at the equator, specifically for a neutron star with a radius of 10 km and a rotation period of 0.003 seconds. The initial calculation used the formula a = w² * r, resulting in an incorrect acceleration of 4.38 x 10^7 m/s². The error stemmed from using the radius in kilometers instead of converting it to meters, which should be 1000 m. The correct centripetal acceleration is 4.37 x 10^10 m/s².

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Neutron stars represent the final stage of life for some massive stars. Typically, they have radii of 10 km. Determine the magnitude of the centripetal acceleration for a piece of neutron star matter on the star surface at the equator (so the matter moves in a circle of radius 10km). Assume the neutron star rotates once every .003 seconds.

This is what I did.

a = w^2 * r
a = (2pi/.003)^2 * (10)
a = 4.38 x 10^7 m/s^2

The answer key tells me that the acceleration is 4.37 x 10^10 m/s^2. Where did I go wrong?
 
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remember to convert everything into SI units. You used 10km when you should have used 1000m :p
 

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