You have been appointed to a citizen committee investigating the safety of a proposed new ride called "The Spinner" at the Mall of America. The ride consists of seats mounted on each end of a steel beam. For most of the ride, the beam rotates about its center in a horizontal circle at a constant speed. Several committee members insist that a person moving in a circle at constant speed is not accelerating, so there is no need to be concerned about the ride's safety. You disagree and sketch a diagram showing that each component of the velocity of a person on the ride changes as a function of time even though the speed is constant. Then you calculate the magnitude of a person's acceleration. The committee is still skeptical, so you build a model to shov that your calculations are correct.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Calculate the time dependence of the velocity components of an object moving like the ride’s seats.  Use this to calculate the object’s acceleration.

 

You have been appointed to a citizen committee investigating the safety of a proposed new ride called "The Spinner" at the Mall of America. The ride
consists of seats mounted on each end of a steel beam. For most of the ride, the beam rotates about its center in a horizontal circle at a constant speed.
Several committee members insist that a person moving in a circle at constant speed is not accelerating, so there is no need to be concerned about the
ride's safety. You disagree and sketch a diagram showing that each component of the velocity of a person on the ride changes as a function of time even
though the speed is constant. Then you calculate the magnitude of a person's acceleration. The committee is still skeptical, so you build a model to show
that your calculations are correct.
10 1
12
14
16
ROTATING PLATFORM BASE
PASCO
Transcribed Image Text:You have been appointed to a citizen committee investigating the safety of a proposed new ride called "The Spinner" at the Mall of America. The ride consists of seats mounted on each end of a steel beam. For most of the ride, the beam rotates about its center in a horizontal circle at a constant speed. Several committee members insist that a person moving in a circle at constant speed is not accelerating, so there is no need to be concerned about the ride's safety. You disagree and sketch a diagram showing that each component of the velocity of a person on the ride changes as a function of time even though the speed is constant. Then you calculate the magnitude of a person's acceleration. The committee is still skeptical, so you build a model to show that your calculations are correct. 10 1 12 14 16 ROTATING PLATFORM BASE PASCO
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