What is the Acceleration Vector of a Passenger on a Ferris Wheel?

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SUMMARY

The acceleration vector of a passenger on a Ferris wheel with a radius of 42.0m, moving at a speed of 3.25m/s and gaining speed at a rate of 0.550m/s², consists of two components: centripetal acceleration and tangential acceleration. The centripetal acceleration, calculated using the formula arad = v²/R, points towards the center of the Ferris wheel, while the tangential acceleration points in the direction of motion. The total acceleration vector combines these two components, with the centripetal acceleration directed along the y-axis and the tangential acceleration along the x-axis.

PREREQUISITES
  • Understanding of circular motion principles
  • Familiarity with acceleration components
  • Knowledge of centripetal acceleration calculations
  • Basic vector addition skills
NEXT STEPS
  • Calculate centripetal acceleration using the formula arad = v²/R
  • Explore vector addition techniques for combining acceleration components
  • Study the effects of tangential acceleration in circular motion
  • Learn about the dynamics of rotating systems
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Physics students, educators, and anyone interested in understanding the dynamics of circular motion and acceleration vectors in rotating systems.

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Homework Statement


A Ferris wheel of radius 42.0m is just starting up. At a given instant, a passenger on the edge of the wheel and passing through the lowest point of his circular motion is moving 3.25m/s and is gaining speed at a rate of 0.550m/s2. Find the magnitude and direction of the passenger's acceleration vector at this instant.


Homework Equations


arad = v2/R


The Attempt at a Solution


I'll say that I have no clue what this question is actually asking. Considering, it gave the acceleration and 3.252/42 \neq 0.550, which is the given acceleration. Thanks for any help.
 
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You've got two different accelerations in this problem, what you got to do is compute the value and direction of the total acceleration experienced by the passenger.

Hint: where's the 3.25^2/42 acel. pointing to? and the 0.555 one?
I hope this helps.
 
Yes, that makes a lot of sense. So, the given acceleration would be pointing along the x-axis and the v2/R acceleration would be pointing in the y axis. Right?
 

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