SOLUTION: The Formula for the speed of DR ---

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The Formula for the speed of DR ---       Log On


   



Question 1146009: The Formula for the speed of DR
---
336G
S=speed of the car in miles per hour(MPH), D=tire diameter, R=engine speed in revolutions per minute(RPM). and G=gear ratio
Calculate the gear ratio necessary to achieve a speed of 142 MPH in a car with 30 inch diameter tires and an engine speed of 4000 RPM's, rounded to the one decimal place.
I know (S)=142 (D)=30 (R)=4000 And I need to find G. I believe I need to isolate it in the problem but I'm not sure how to do it. Please help I believe if I can see how this problem is done it will help me understand the rest of my homework. Thank you

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The Formula for the speed: S = %28DR%29%2F%28336G%29
S=speed of the car in miles per hour(MPH), D=tire diameter, R=engine speed in revolutions per minute(RPM). and G=gear ratio
Calculate the gear ratio necessary to achieve a speed of 142 MPH in a car with 30 inch diameter tires and an engine speed of 4000 RPM's, rounded to the one decimal place.
S = %28DR%29%2F%28336G%29
Multiply both sides by G
S*G = %28DR%29%2F336
Divide both sides by S
G = %28DR%29%2F%28336S%29
"Calculate the gear ratio necessary to achieve a speed of 142 MPH in a car with 30 inch diameter tires and an engine speed of 4000 RPM's,"
G = %2830%2A4000%29%2F%28336%2A142%29
G = 12000%2F47712
G = 2.5 is the gear ratio