# Circular motion of a train

1. ### tyro008

20
1. The problem statement, all variables and given/known data
A train is rounding a circular curve whose radius is 2.00 X 10$$_{}2$$ m. At one instant, the train has an angular acceleration of 1.50 X 10^-3 rad/s$$_{}2$$ and an angular speed of 0.0400 rad/s.
(a) Find the magnitude of the total acceleration (centripetal plus tangential) of the train.

(b) Determine the angle of the total acceleration relative to the radial direction.

2. Relevant equations
a$$_{}NET$$ = $$\sqrt{}ac2^{}_{} + at2^{}$$
and Ac is the centripetal acceleration, At is the tangential acceleration

3. The attempt at a solution
i tried using this equation, but i couldn't find At. to find this, you need delta velocity divided by delta time, but there is no time and i don't know if angular speed is the same thing as regular velocity

2. ### grassblade

1
You can find At by using the formula: angular acceleration = tangential acceleration / radius.

I'm not sure how to find the angle though...

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