Question

a ferris wheel can carry 800 passengers in 32 capsules around a circle measuring 439 meters in circumference. if one revolution takes 30 minutes, then what is the linear velocity of a capsule in feet per second? the linear velocity of a capsule is ft/sec. (type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Convert circumference from meters to feet

Since \(1\) meter \( = 3.28084\) feet, the circumference \(C\) in feet is \(C=439\times3.28084\) feet.

$$439\times3.28084 = 1430.29876$$

feet.

Step2: Convert time from minutes to seconds

Given time \(t = 30\) minutes. Since \(1\) minute \(=60\) seconds, \(t=30\times60=1800\) seconds.

Step3: Calculate linear velocity

The formula for linear velocity \(v=\frac{d}{t}\), where \(d\) is the distance (circumference) and \(t\) is the time.

$$v=\frac{1430.29876}{1800}$$

$$v\approx0.8$$

Answer:

\(0.8\)