Calculate speed, given radius and angle.

AI Thread Summary
To calculate the speed of a cart car navigating a turn with a radius of 240m and a tilt angle of 30 degrees, the relevant physics involves balancing forces without friction. The free body diagram indicates the normal force and weight acting on the cart. The equation F = (m)(v^2/r) is essential for determining the speed, where F represents the net force, m is mass, v is velocity, and r is the radius. The tilt of the turn affects the normal force and thus the required speed for maintaining circular motion. Understanding these principles allows for the calculation of the cart's speed around the turn.
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Homework Statement


"The third turn at the Alamo Cart Dirt Speedway is tilted at 30* and has a radius of 240m. Determine the speed of the Cart Car going around the turn, assuming the car has no help from friction."

P.S.: This is not a homework or problem worth any credit. Just an extra problem I wanted to try.

Homework Equations


This is what I couldn't figure out.


The Attempt at a Solution


I've got a free body diagram with the normal force and the weight of the object.
 
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you know your doing it for a homework assignment. if you wanted help you shouldn't have lied. and a good place to start would be F=(m)(v^2/r)
 

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