1. The problem statement, all variables and given/known data Designing an on ramp for the 401 the engineer wants cars to be able to make the turn with a radius of 50 m while travelling 40km/hr in conditions with no friction. What angle must he bank the curve at to make this possible? 2. Relevant equations FR = (m)(aR) FR = (m)(v2)/(r) 3. The attempt at a solution I first started by drawing a diagram and noting the values I have for the question which are the velocity (40 km/h) and the radius (50 m). The value I we're looking for in the question is the angle the bank makes. I first know FN(Sin θ) = (m)(v2)/R which I can then isolate FN through which becomes FN = (m*g)/(cos θ) Since in the actual equation has no movement in the y axis it is: FNsinθ = m * v2/r Then I sub in the FN I got from the previous equation and sub it into this one getting: (m*g/cos θ)(sin θ) = m * v2/r which then simplifies into: tan θ = v2/r*g I then put in the original values I had into the equation and got 3.26 then I put 3.26 into the tan-1 thing in the calculator and got 73o degrees. Is my answer and thought process correct?