# How to Find Tangential Velocity and Acceleration on a Frictionless Curve?

• the_d
In summary, the conversation discusses using energy instead of forces to determine the tangential velocity and acceleration of a 5 kg block going down a frictionless curve with a radius of 5 meters. The participants also mention using trigonometry to calculate the distance the block has fallen and how the acceleration at the midpoint of the curve is equivalent to that of a block on a straight slope with an equal angle to the tangent line. The question of what is meant by 60 degrees from the center of the curve is also addressed.
the_d
I have a 5 kg block goin down a frictionless curve of radius 5 meters. I need to know the tangential velocity at 60 degrees from the center of the curve and its acceleration at the midpoint of the curve.

i have drawn a FBD of the block, where do i go from there?

I would use energy instead of forces for this one.

I don't get what you mean at 60 degrees from the center of the curve... do you mean 60 degrees from the top of the quarter circle? In that case, you should use trig to figure out how far it's fallen.

For the acceleration, the acceleration at the midpoint is just as if the block was lying on a straight slope with equal angle to the horizontal as the tangent line is at that point

Office_Shredder said:
I would use energy instead of forces for this one.

I don't get what you mean at 60 degrees from the center of the curve... do you mean 60 degrees from the top of the quarter circle? In that case, you should use trig to figure out how far it's fallen.

For the acceleration, the acceleration at the midpoint is just as if the block was lying on a straight slope with equal angle to the horizontal as the tangent line is at that point

when i say 60 degrees i mean from the center of the half circle

How do i get the acceleration at the midpoint of the curve?

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