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