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Return to Barani Design        Calculate corner exit speed effect on lap time & end of straight speed.

Acceleration Calculator - Aerodynamic Drag Limited Vehicle  
Copyright © 2009 Barani Design
(Email us with Feedback or Questions)
 
May be used to calculate how corner exit speed will effect lap time and end of straight speed vs a horsepower increase.  

Based on integrating the following variable acceleration formula:
Variable Acceleration Formula                   Variable Acceleration Formula          Variable Acceleration Formula

The integral is in the form of:
Variable Acceleration Formula

 
INPUT: Car Physical Data & Total Force Coefficients
Remember: SHIT IN = SHIT OUT
please see CONSTANT HORSEPOWER vs POWERTRAIN LIMITATIONS
 
STRAIGHT LENGTH = m ft yards  
STARTING SPEED or CORNER EXIT SPEED= m/s mph kph  
Car Frontal Area = m2 ft2      
Car CD = based on Car Frontal Area        
Car L/D = -currently not used in acceleration calculation
Mass (kg) = kg lb      
Engine Power = hp kW Metric hp(M)  
Drive Train Loss = %          
Air density = kg/m3 lb/ft3      
Density based on Height above Sea Level Calculator  
   
Engine Power: Calculator assumes Full power is available for the duration of the acceleration. ( Horsepower is Constant! )
This is a simplification since engine horsepower usually increases with engine RPM.
Drag calculation is accurate.
LIMITATIONS: Compared to actual cars this calculator will overpredict acceleration due to horsepower because of its lack of powertrain limitations.
(Basically, especially in the first few rows, acceleration will be faster than true to life.) Gearing and shifting limitations are also not yet modeled.
 
CONSTANT HORSEPOWER vs POWERTRAIN LIMITATIONS  
OUTPUT:  
Power @ Wheels = hp kW Metric hp(M)  
Max Velocity (m/s) = m/s mph kph  
Car CL =            
   
   
AERO DRAG LIMITED ACCELERATION  
A=C1=746*Hp/mass =   B=C2=rho*S*Cd/mass =  
       
ELAPSED DISTANCE
(meters)
ELAPSED DISTANCE
(feet)
ELAPSED TIME
(seconds)
Drag Horsepower
(hp)
Speed
(m/s)
Speed
(mph)
Speed
(kph)
A B C D E F G