Design a Roller Coaster Project! Extra Credit

 

Extra credit challenge # 1: G-forces at the Dip of a Hill (15 points)

  1. Calculate the centripetal acceleration and G-forces at the dip of a hill.

    2. (5 points)

  2. Make sure that you do not exceed 5 G-forces. (5 points)

  3. Show your work for each calculation on your graph or on a separate sheet of paper. Be meticulous. (5 points)

 

 

C.A. =

r =

Gs felt at top of a loop

Subtract a G due to gravity

Gs = C.A. divided by 9.8m/s2

Gs felt at bottom of a loop

Add a G due to gravity

Extra credit challenge # 2: Calculate a parabolic hill

that will allow your car to free fall! (20 points)

  1. Calculate the velocity at the top of a hill:

    2. Velocity =

    (5 points)

  • Use D=VT and D=1/2gt2 to calculate the position of the coaster car at 1 second, 2 seconds, 3 seconds, etc.... Be meticulous. (15 points)
    		•

  • Draw the other side of the hill to match.

    		•

    Extra credit challenge # 3: Include a Clothoid Loop (20 points)

    1. Calculate the centripetal acceleration and G-forces at the top of the loop. (5 points)

    2. Do not exceed 2 G-forces at the top of the loop. (5 points)

    3. Calculate the centripetal acceleration and G-forces at the side of the loop.

    (5 points)

    4) Show your meticulous work. (5 points)

    C.A. =

    r =

    Gs felt at top of a loop

    Subtract a G due to gravity

    Gs = C.A. divided by 9.8m/s2

    Gs felt at bottom of a loop

    Add a G due to gravity

    Extra credit challenge # 4: Calculate the Optimum Banking Angle and Gs on a horizontal turn:

    Banking angle

    G-forces

    Tan

    Help for the coaster project and extra credit

    Trigonometric Values

     

     

    Extra credit challenge # 5: Build a 3-D coaster out of paper and cardboard. Include velocities, centripetal accelerations and G-forces at 6 different locations. Build it to scale. Include meticulous calculations.

     (25 points)

    Extra credit challenge # 6: Advanced equations: More Extra credit at the bottom of the following page