# A ride on a ferris wheel

1. Jul 11, 2009

### clarineterr

1. The problem statement, all variables and given/known data

A woman rides on a Ferris wheel of radius 16m that maintains the same speed throughout its motion. To better understand physics, she takes along a digital bathroom scale (with memory) and sits on it. When she gets off the ride, she uploads the scale readings to a computer and creates a graph of scale reading versus time. Note that the graph has a minimum value of 510 N and a maximum value of 666N. What is the woman's mass?

2. Relevant equations
a$$_{c}$$ = $$\frac{mv^{2}}{r}$$

and Newtons 2nd law

3. The attempt at a solution

So at the top we have gravity acting on her and the normal force of her seat acting on her which we will call Nt.

so $$\frac{mv^{2}}{r}$$ = mg - Nt

Then at the bottom, where Nb is the normal force of her seat acting on her

$$\frac{mv^{2}}{r}$$ = Nb - mg

Then solving these equations I got 2mg = Nt + Nb