Sample problem: A roller coaster races around a turn and experiences 4.7 Gforces 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 Gforces, as well as the Gs that come from gravity. 
Gforces felt on the wheels due to horizontal Gforces:
Sample problem: A roller coaster races around a turn and experiences 4.7 Gforces 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 Gforces = Sin (theta) x Gforces 

Felt Gforces = 
Sin (24) x 4.7 Gs. 

Felt Gforces = 
0.4067 x 4.7 Gs 

Felt Gforces = 
1.91 Gs into the wheels 


Here is the derivation: 



Sin = 
O/H 



O = 
Sin (theta) x H 


Felt Gforces = 
Sin (theta) x H 


Felt Gforces = 
Sin (theta) x Gforces 

Gforces 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 Gforces = Cos (theta) 

Felt Gforces = 
Cos (24) 

Felt Gforces = 
0.9135 Gs 



Here is the derivation: 

Cos (theta) = 
A/H 

Cos (theta) = 
Felt Gforces/Gravity 

Cos = 
Felt Gforces/1 

Felt Gforces = 
Cos (theta) 

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