# Uniform Circular Motion and Angular Speed

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Question: A rotating cylinder about 16 km in length and 8.0 km in diameter, is designed to be used as a space colony. With what angular speed must it rotate so that the residents on it will experience the same acceleration due to gravity on Earth?

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#### Solution Preview

The centripetal acceleration (radial direction) of a particle is equal to the square of its velocity divided by the radius of curvature of the path it is travelling. This is expressed as An = (v^2)/R. We want ...

#### Solution Summary

This solution is comprised of a description of how to solve for speed as it pertains to this physics-based problem. The equation required is provided, along with the variables which are necessary. This is completed in about 150 words.

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