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A student of weight 650 N rides a steadily rotating Ferris wheel (the student sits upright). At...

Question:

A student of weight 650 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force {eq}\vec{F}_N {/eq} on the student from the seat is 582 N. (a) What is the magnitude of {eq}\vec{F}_N {/eq} at the lowest point? If the wheel's speed is doubled, what is the magnitude of {eq}F_N {/eq} at the (b) highest and (c) lowest point?

Centripetal Force:

Centripetal force is referred to as the center seeking force. It is proportional to the square of the velocity and inversely proportional to the radius of curvature. It is due to the constant change of the direction of the velocity that the centripetal acceleration will occur.

Answer and Explanation:

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Using the equation for centripetal force, we write:

{eq}F = \frac{mv^2}{r} {/eq}

where:

  • v is the speed
  • r is the radius
  • m is the mass

at the...

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The Centripetal Force Requirement: Definition, Examples & Problems

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Chapter 2 / Lesson 12
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What keeps a roller coaster in a loop? Learn about centripetal force, what causes a centripetal force, and how to calculate it. Complete a quiz to test your knowledge.


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