Respuesta :
Answer: The apparent weight of the person as she passes through the highest point of her motion is 458.81 N
Explanation: Please see the attachments below


The apparent weight of the person as she passes through the highest point of her motion is 460 N.
The given parameters;
- radius of the wheel, r = 5.0 m
- time of motion, t = 8.0 s
- weight of the person, W = 670 N
The apparent weight of the person as she passes through the highest point of her motion is calculated as follows;
[tex]R = m(g - a)[/tex]
The mass of the person;
[tex]m = \frac{W}{g}\\\\m = \frac{670}{9.8} = 68.37 \ kg[/tex]
The acceleration of the person is calculated as;
[tex]a_c = (\omega^2)r\\\\a_c = (\frac{1 \ rev}{8 \ s} \times \frac{2\pi \ rad}{1 \ rev} )^2 \times 5\ m\\\\a_c = 3.08 \ m/s^2[/tex]
The apparent weight is calculated as;
[tex]R = 68.37(9.8 - 3.08)\\\\R = 460 \ N[/tex]
Thus, the apparent weight of the person as she passes through the highest point of her motion is 460 N.
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