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

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Question 1146009: The Formula for the speed of DR
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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)   (Show Source): You can put this solution on YOUR website!
The Formula for the speed: S =
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 =
Multiply both sides by G
S*G =
Divide both sides by S
G =
"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 =
G =
G = 2.5 is the gear ratio

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