The Emerald Suite is a revolving restaurant at the top of the Space Needle in Seattle, Washington. If a customer sitting 18 m from the restaurant's center has a tangential speed of 2.54 * 10-2 m/s, what is the angular speed of the restaurant?

Question

Physics

Trystan Bradshaw

28 November, 16:23

The Emerald Suite is a revolving restaurant at the top of the Space Needle in Seattle, Washington. If a customer sitting 18 m from the restaurant's center has a tangential speed of 2.54 * 10-2 m/s, what is the angular speed of the restaurant?

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Answers (1)

Know the Answer?

Briley Galloway · Answer 1

w = 1.41 10⁻³ rad / s

Explanation:

For this problem we will use that the angular and linear velocity are related

v = w r

w = v / r

Let's calculate

w = 2.54 10⁻² / 18

w = 1.41 10⁻³ rad / s

The angular speed of the entire restaurant is the same