Non uniform circular acceleration

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A car traveling at 30 m/s on a circular path with a radius of 500 m is experiencing both tangential and radial acceleration due to its increasing speed of 2 m/s². The discussion highlights the importance of vector addition to determine the total acceleration, which combines both components. Participants clarify that while gravity is a factor, it does not affect the circular motion in this context. The conversation emphasizes understanding non-uniform circular motion and the role of multiple acceleration vectors. Overall, the focus remains on solving the problem of calculating the car's total acceleration.
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Homework Statement


A car is moving with a speed of 30m/s on a circular path of radius 500m. It's speed is increasing at a rate of 2m/s2. What is the acceleration of the car.

Homework Equations


That is my problem.

The Attempt at a Solution


Well i know equations for uniform circular motion but this is just beyond me.
 
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Hint: You are given the tangential component of the acceleration. What's the radial component?
 
An object is accelerating if it's speed or direction is changing. Your car appears to be subject to two acceleration vectors. You know how to add two vectors?

Edit: Deleted a bit of this reply as otherwise too easy.
 
oh
that was surprisingly easy
i was messing up with vector addition
thanks anyways.
 
Just to play the devil...

What about gravity? Is it really three vectors :-)
 
CWatters said:
Just to play the devil...

What about gravity? Is it really three vectors :-)
Why do you think that would matter? (It's on a circular path.)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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