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

In summary, the question asks for the magnitude and direction of the total acceleration experienced by a passenger on a Ferris wheel at a given instant, given their initial velocity and rate of acceleration. The passenger experiences two different accelerations - one along the x-axis and one along the y-axis - and the task is to compute the total acceleration vector.
  • #1
DrummingAtom
659
2

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 [tex]\neq[/tex] 0.550, which is the given acceleration. Thanks for any help.
 
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  • #2
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.
 
  • #3
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?
 

What is circular acceleration?

Circular acceleration is the rate at which an object's velocity changes as it moves along a circular path. It is a vector quantity that is measured in units of meters per second squared (m/s^2).

What causes circular acceleration?

Circular acceleration is caused by a net force acting on an object that is moving along a curved path. This force is known as the centripetal force and is always directed towards the center of the circular path.

How is circular acceleration calculated?

Circular acceleration can be calculated using the formula a = v^2/r, where a is the circular acceleration, v is the speed of the object, and r is the radius of the circular path. It can also be calculated using the formula a = ω^2r, where ω is the angular velocity of the object.

What is the difference between tangential acceleration and circular acceleration?

Tangential acceleration is the component of acceleration that is tangent to the circular path, while circular acceleration is the total acceleration of an object moving along a curved path. Tangential acceleration is caused by changes in speed, while circular acceleration is caused by changes in direction.

What are some real-life examples of circular acceleration?

Some examples of circular acceleration include a car turning a corner, a roller coaster looping upside down, a satellite orbiting around Earth, and a spinning top. Any object that is moving along a circular path is experiencing circular acceleration.

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