Solved: While at the county fair, you decide to ride the

Step 1 of 9

The given ferris wheel has the radius of \(r=15 \mathrm{~m}\) with the time period \(T=25 \mathrm{~s}\). Here we need to calculate the speed and magnitude of the acceleration. Also the ratio of apparent weight and true weight at the bottom of ride and at the bottom of ride.

Let the speed during the ride be \(v\) with acceleration \(a_{r}\) as shown in the figure below;

Given data,

Radius, \(r=15 \mathrm{~m}\)

Time period, \(T=25 \mathrm{~s}\)

Perimeter, \(x=2 \pi r\)

                                             \(x=2(3.14)(15 m)=94.2 m\)

To find,

(a) Speed, \(v=?\) and Acceleration, \(a_{r}=?\)

(b) Ratio of \(\left(\frac{w}{F_{G}}\right)_{\text {top }}=?\)

(c) Ratio of \(\left(\frac{w}{F_{E}}\right)_{\text {bottom }}= ?\)