G-forces felt on a ramp

Sample problem: A roller coaster races around a turn and experiences 4.7 G-forces in the horizontal direction. How many Gs will act on the wheels of the car if the bank is angled at 24 degrees?

Answer: To calculate this, you must calculate the Gs that come from the horizontal G-forces, as well as the Gs that come from gravity.

G-forces felt on the wheels due to horizontal G-forces:

Sample problem: A roller coaster races around a turn and experiences 4.7 G-forces in the horizontal direction. What portion of the 4.7 Gs will be felt on the wheels of a roller coaster car if the bank is angled at 24 degrees?
		Use the following equation:
		Felt G-forces = Sin (theta) x G-forces
		Felt G-forces =	Sin (24) x 4.7 Gs.
		Felt G-forces =	0.4067 x 4.7 Gs
		Felt G-forces =	1.91 Gs into the wheels

		Trigonometric Values


	Here is the derivation:
	Sin =	O/H
	O =	Sin (theta) x H
	Felt G-forces =	Sin (theta) x H
	Felt G-forces =	Sin (theta) x G-forces

G-forces felt on the wheels due to gravity:

Sample problem: What portion of earth's gravity will add weight on the wheels of a coaster car if it is on ramp which is angled at 24 degrees?
		Use the following equation:
		Felt G-forces = Cos (theta)
		Felt G-forces =	Cos (24)
		Felt G-forces =	0.9135 Gs

		Trigonometric Values


	Here is the derivation:
	Cos (theta) =	A/H
	Cos (theta) =	Felt G-forces/Gravity
	Cos =	Felt G-forces/1
	Felt G-forces =	Cos (theta)

Total Gs felt by the wheels = 0.9135 + 1.91 = 2.82 Gs