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A Ferris wheel at a carnival has a radius of 10 m and turns so that the speed of the riders is 8 m/s.A. What is the magnitude of the acceleration of the riders?B. What is the magnitude of the net force required to produce this centripetal acceleration for a rider with a mass of 60 kg?

Respuesta :

Given

Radius = 10 m

r = 10 m

speed = 8 m/s

Explanation

A. centripetal acceleration, the acceleration of a body traversing a circular path.

[tex]\begin{gathered} a_c=\frac{v^2}{r} \\ a_c=\frac{8^2}{10} \\ a_c=6.4\text{ m/s}^2 \end{gathered}[/tex]

B. Net force

[tex]\begin{gathered} F=ma \\ F=60\text{ kg*6.4m/s}^2 \\ F=384\text{ N} \end{gathered}[/tex]

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