Maximum Speed of Vehicle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Speed of Vehicle = (pi*Speed of Engine at Maximum Power*Effective Radius of Wheel)/(30*Gear Ratio of Final Drive*Minimum Gear Ratio of Transmission)
Vmax = (pi*np max*rd)/(30*io*ig min)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Maximum Speed of Vehicle - (Measured in Meter per Second) - Maximum Speed of Vehicle is defined as the highest velocity that a vehicle can achieve with parameters unique to that vehicle.
Speed of Engine at Maximum Power - (Measured in Radian per Second) - Speed of Engine at Maximum Power is defined as the crankshaft's angular velocity that it can attain to give maximum power at the driving wheels.
Effective Radius of Wheel - (Measured in Meter) - The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.
Gear Ratio of Final Drive - Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.
Minimum Gear Ratio of Transmission - Minimum Gear Ratio of Transmission is defined as the lowest magnitude of the gear ratio of a considered vehicle.
STEP 1: Convert Input(s) to Base Unit
Speed of Engine at Maximum Power: 35000 Revolution per Minute --> 3665.19142900145 Radian per Second (Check conversion here)
Effective Radius of Wheel: 0.45 Meter --> 0.45 Meter No Conversion Required
Gear Ratio of Final Drive: 2 --> No Conversion Required
Minimum Gear Ratio of Transmission: 0.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmax = (pi*np max*rd)/(30*io*ig min) --> (pi*3665.19142900145*0.45)/(30*2*0.55)
Evaluating ... ...
Vmax = 157.016433645699
STEP 3: Convert Result to Output's Unit
157.016433645699 Meter per Second --> No Conversion Required
FINAL ANSWER
157.016433645699 157.0164 Meter per Second <-- Maximum Speed of Vehicle
(Calculation completed in 00.020 seconds)

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Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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National Institute Of Technology (NIT), Hamirpur
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13 Load on Wheels in Race Cars Calculators

Maximum Speed of Vehicle
Go Maximum Speed of Vehicle = (pi*Speed of Engine at Maximum Power*Effective Radius of Wheel)/(30*Gear Ratio of Final Drive*Minimum Gear Ratio of Transmission)
Front Lateral Load Transfer given Load on Front Inside Wheel in Cornering
Go Front Lateral Load Transfer = Load on Individual Wheel in Static Condition-Individual Load on Inner Wheel during Cornering
Rear Lateral Load Transfer given Load on Rear Inside Wheel in Cornering
Go Front Lateral Load Transfer = Load on Individual Wheel in Static Condition-Individual Load on Inner Wheel during Cornering
Wheel Load on Front Outside Wheel in Static Condition given Load during Cornering
Go Load on Individual Wheel in Static Condition = Individual Load Wheel during Cornering-Front Lateral Load Transfer
Wheel Load on Front Inside Wheel in Static Condition given Load during Cornering
Go Load on Individual Wheel in Static Condition = Individual Load Wheel during Cornering+Front Lateral Load Transfer
Front Lateral Load Transfer given Load on Front Outside Wheel in Cornering
Go Front Lateral Load Transfer = Individual Load Wheel during Cornering-Load on Individual Wheel in Static Condition
Wheel Load on Front Outside Wheel during Cornering
Go Individual Load Wheel during Cornering = Load on Individual Wheel in Static Condition+Front Lateral Load Transfer
Wheel Load on Front Inside Wheel during Cornering
Go Individual Load Wheel during Cornering = Load on Individual Wheel in Static Condition-Front Lateral Load Transfer
Wheel Load on Rear Outside Wheel in Static Condition given Load during Cornering
Go Load on Individual Wheel in Static Condition = Individual Load Wheel during Cornering-Rear Lateral Load Transfer
Wheel Load on Rear Inside Wheel in Static Condition given Load during Cornering
Go Load on Individual Wheel in Static Condition = Individual Load Wheel during Cornering+Rear Lateral Load Transfer
Rear Lateral Load Transfer given Load on Rear Outside Wheel in Cornering
Go Rear Lateral Load Transfer = Individual Load Wheel during Cornering-Load on Individual Wheel in Static Condition
Wheel Load on Rear Outside Wheel during Cornering
Go Individual Load Wheel during Cornering = Load on Individual Wheel in Static Condition+Rear Lateral Load Transfer
Wheel Load on Rear Inside Wheel during Cornering
Go Individual Load Wheel during Cornering = Load on Individual Wheel in Static Condition-Rear Lateral Load Transfer

Maximum Speed of Vehicle Formula

Maximum Speed of Vehicle = (pi*Speed of Engine at Maximum Power*Effective Radius of Wheel)/(30*Gear Ratio of Final Drive*Minimum Gear Ratio of Transmission)
Vmax = (pi*np max*rd)/(30*io*ig min)

How is the maximum speed of a vehicle calculated?

The maximum speed or velocity of the vehicle can be calculated when the parameters of the vehicle such as the maximum engine angular velocity, final drive ratio and minimum gear ratio of its transmission are known.

How to Calculate Maximum Speed of Vehicle?

Maximum Speed of Vehicle calculator uses Maximum Speed of Vehicle = (pi*Speed of Engine at Maximum Power*Effective Radius of Wheel)/(30*Gear Ratio of Final Drive*Minimum Gear Ratio of Transmission) to calculate the Maximum Speed of Vehicle, The Maximum speed of vehicle formula is defined as the highest velocity that a vehicle can achieve with parameters unique to that vehicle. Maximum Speed of Vehicle is denoted by Vmax symbol.

How to calculate Maximum Speed of Vehicle using this online calculator? To use this online calculator for Maximum Speed of Vehicle, enter Speed of Engine at Maximum Power (np max), Effective Radius of Wheel (rd), Gear Ratio of Final Drive (io) & Minimum Gear Ratio of Transmission (ig min) and hit the calculate button. Here is how the Maximum Speed of Vehicle calculation can be explained with given input values -> 157.0164 = (pi*3665.19142900145*0.45)/(30*2*0.55).

FAQ

What is Maximum Speed of Vehicle?
The Maximum speed of vehicle formula is defined as the highest velocity that a vehicle can achieve with parameters unique to that vehicle and is represented as Vmax = (pi*np max*rd)/(30*io*ig min) or Maximum Speed of Vehicle = (pi*Speed of Engine at Maximum Power*Effective Radius of Wheel)/(30*Gear Ratio of Final Drive*Minimum Gear Ratio of Transmission). Speed of Engine at Maximum Power is defined as the crankshaft's angular velocity that it can attain to give maximum power at the driving wheels, The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling, Gear Ratio of Final Drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels & Minimum Gear Ratio of Transmission is defined as the lowest magnitude of the gear ratio of a considered vehicle.
How to calculate Maximum Speed of Vehicle?
The Maximum speed of vehicle formula is defined as the highest velocity that a vehicle can achieve with parameters unique to that vehicle is calculated using Maximum Speed of Vehicle = (pi*Speed of Engine at Maximum Power*Effective Radius of Wheel)/(30*Gear Ratio of Final Drive*Minimum Gear Ratio of Transmission). To calculate Maximum Speed of Vehicle, you need Speed of Engine at Maximum Power (np max), Effective Radius of Wheel (rd), Gear Ratio of Final Drive (io) & Minimum Gear Ratio of Transmission (ig min). With our tool, you need to enter the respective value for Speed of Engine at Maximum Power, Effective Radius of Wheel, Gear Ratio of Final Drive & Minimum Gear Ratio of Transmission and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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