# Non-Uniform Circular Motion - Finding total acceleration

## Homework Equations

Code:
a(total) = sqrt( a(tangential)^2 + a(radial)^2 )

## The Attempt at a Solution

I wrote out equations for the forces in the radial and tangential directions:
Code:
F(radial)       = T - ( mg * cos(θ) )
F(tangential) = mg * sin(θ)
I used the equations to find acceleration in the radial and tangential direction (a = F/m):
Code:
a(radial)       = (T/m) - ( g * cos(θ) )
a(tangential) = g * sin(θ)
I plugged it into a(total) = sqrt( a(tangential)^2 + a(radial)^2 ):

which simplifies to:

My answer is incorrect and I'm not sure what I did wrong.
Any help would be appreciated.

## Answers and Replies

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is this some kind of online question bank where you have to submit the answer ?
i see that your solution seems to be correct... may be you need to further simplify the expression you got....these online physics problem banks can act stupid....

newton

Your answer seems to be correct. I think you need to simplify the expression by using sin^2(x)+cos^2(x)=1. That may change the final expression, but otherwise, the answer is same.