**Title:** Understanding Forces on a Ferris Wheel**Introduction:**A woman of mass \( m \) rides in a Ferris wheel of radius \( R \). In order to better understand physics, she takes along a bathroom scale and sits on it. Determine the difference in scale readings between the bottom and top of the Ferris wheel (\( \Delta F_{\text{scale}} \)) as a function of the constant angular speed of the Ferris wheel (\( \omega \)), \( m \), \( R \), and \( g \).**Free-Body Diagrams:**- **Top of Ferris Wheel:** - A simple stick figure representing the woman sitting on a scale at the top of the Ferris wheel. The forces acting on her include gravitational force downward and normal force from the scale.- **Bottom of Ferris Wheel:** - Another stick figure representing the woman at the bottom of the Ferris wheel. Again, gravitational force acts downward while the normal force from the scale acts upward.**Mathematical Analysis:**This section is presumably left for students to calculate the difference in forces using principles of circular motion and Newton's laws.**Questions:**1. If \( \omega = 0 \, \text{rad/s} \), what should \( \Delta F_{\text{scale}} \) equal? Does your function agree with this observation?2. If \( \omega \) was twice as large, what would happen to \( \Delta F_{\text{scale}} \)?---This exercise teaches students about the effects of centripetal force on scale readings during circular motion, exploring how velocity impacts perceived weight in different positions on the Ferris wheel.

Using the the equilibrium equation,

A woman of mass m rides in a Ferris wheel of radius R. In order to better understand physics, she takes along a bathroom scale and sits on it. Determine the difference in scale readings between the bottom and top of the Ferris wheel (AFale) as a function of the constant angular speed of the Ferris wheel (@), m, R, and g. Free-Body Diagrams top of Ferris wheel bottom of Ferris wheel 00 Mathematical Analysis Questions If o = 0 rad/s, what should AF equal? Does your function agree with this observation? scale If owas twice as large, what would happen to AFscale

A woman of mass m rides in a Ferris wheel of radius R. In order to better understand physics, she takes along a bathroom scale and sits on it. Determine the difference in scale readings between the bottom and top of the Ferris wheel (AFale) as a function of the constant angular speed of the Ferris wheel (@), m, R, and g. Free-Body Diagrams top of Ferris wheel bottom of Ferris wheel 00 Mathematical Analysis Questions If o = 0 rad/s, what should AF equal? Does your function agree with this observation? scale If owas twice as large, what would happen to AFscale