Tangential and Radial Acceleration

AI Thread Summary
To solve the problem of a train slowing down while rounding a curve, the key is to calculate both linear and radial acceleration. The linear acceleration can be found using the equation Vf = Vi + a*t, while the radial acceleration is determined with Ac = V^2 / r. Once both accelerations are calculated, they should be treated as perpendicular vectors, allowing for the use of the Pythagorean theorem to find the resultant acceleration. Attention to unit consistency is crucial in these calculations. The discussion concludes with a successful resolution of the problem after clarifying the relationship between the equations.
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Homework Statement



A train slows down as it rounds a sharp horizontal turn slowing from 90.0km/h to 50.0km/h in the 15.0s that it takes to round the bend. The radius of the curve is 150m. Compute the acceleration at the moment the train reaches 50.0km/her. Assume it continues to slow down at this rate.

Homework Equations



Vf = Vi + a*t
Ac = V2 / r

The Attempt at a Solution



I am totally confused and have to hand in this problem tomorrow and I don't have the textbook to reference.
 
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You have the equations, so what is the acceleration for each of the accelerations when it hits 50 km/hr? Linear and radial?

Once you have calculated those values then you would add them as vectors.

One acceleration is radially inward. The other is slowing and so it is trailing.

Since they are ⊥ then just use Pythagoras to get'er done.

Oh, and as usual be careful with your units.
 
Thanks, actually that helped. I got the correct answer =) I just had trouble relating the two equations for some reason.
 

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