Non-Uniform Circular Motion - Finding total acceleration

[Defagment]

Homework Statement

Homework Equations

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:

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):

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.

 

[issacnewton]

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

 

[Vyse007]

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.