A ferris wheel has a radius of 28 feet and completes 3 revolutions in 1.5 minutes. Find the angular speed of the rider in degrees per second.

Question

asked Mar 13, 2023 78.4k views

1 Answer

Yashar Habibi · Answer 1 · 2023-03-18T05:06:06+0000

Let's begin by identifying key information given to us:

Radius (r) = 28 ft,

Plane Angle (θ) = 3 rev = 3 * 360° = 1080,

Time (t) = 1.5 min = (1.5 * 60) = 90 s,

Angular Speed (ω) = ?

$\begin{gathered} AngularSpeed(\omega)=(\theta)/(t)=(1080^(\circ))/(90)=12 \\ AngularSpeed(\omega)=12deg\text{/s} \end{gathered}$

Hence, the angular speed is 12 degrees per second