Question

A car on a Ferris wheel has an angular displacement of π 4 rad, which corresponds to an arc length of 28.2 m. What is the Ferris wheel’s radius? Answer in units of m

Answer 1

Answer:35.9 m

Explanation:

Given

angular displacement $\theta =\dfrac{\pi }{4}$

Arc length $L=28.2\ m$

and we know that arc length $L=\theta \times R$

where R=radius of curvature

$R=\dfrac{28.2}{\dfrac{\pi }{4}}$

$R=\dfrac{28.2\times 4}{\pi }$

$R=35.9\ m$