Question

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?

Answer 1

w = 1.41 10⁻³ rad / s

Step-by-step 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