Question

revolving restaurant. if a revolving restaurant can rotate 120° in 4 minutes, how long does it take for the restaurant to make a complete revolution? enter the exact answer. it takes minutes to make a complete revolution.

Explanation:

Step1: Find rotation rate

The restaurant rotates 120° in 4 minutes. The rate of rotation is $\frac{120^{\circ}}{4}=30^{\circ}$ per minute.

Step2: Calculate time for full - rotation

A complete revolution is 360°. Let $t$ be the time for a complete revolution. Using the rate formula $\text{rate}=\frac{\text{angle}}{\text{time}}$, we have $30=\frac{360}{t}$. Solving for $t$, we get $t = \frac{360}{30}=12$ minutes.

Answer:

12