- #1

DaveTan

- 9

- 0

## Homework Statement

The cosmoclock 21 Ferris Wheel in Yokohama City, Japan, has a diameter of 100m. Its name comes from its 60 arms, each of which can function as a second hand (so it makes one revolution every 60.0s).

a) Find the speed of the passengers when the Ferris wheel is rotating at this rate [No problem]

b) A passenger weighs 882N at the weight-guessing booth on the ground. What is his apparent weight at the lowest point of the ferris wheel?

## Homework Equations

d = vt

a

_{rad}= v^2.r

w = mg

## The Attempt at a Solution

I have no problem with part a.

distance = 2pi r = 314.1m

velocity = 314.1/60 = 5.235m/s

It is part b where I get confused. I get it right till the step to use acceleration. I use radial acceleration and get it wrong, googled the question and someone used angular acceleration. I used his angular acceleration value and my answer was correct. But I am wondering why use angular acceleration instead of radial?

Weight on ground = 882N

Mass = 89.9 kg

F = ma

N

_{b}- mg = ma

N

_{b}= m (a +g)

*This is the part where I use radial acceleration

a = v

^{2}/r

a = 0.1745m/s

^{2}

N

_{b}= 89.9 (0.1745+9.81)

N

_{b}= 897.6N