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Maximum Speed of Vehicle Formula

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Maximum Speed of Vehicle is defined as the highest velocity that a vehicle can achieve with parameters unique to that vehicle. Check FAQs

V m = \frac{π \cdot n p \cdot r d}{30 \cdot i o \cdot i g}

V_m - Maximum Speed of Vehicle?n_p - Speed of Engine at Maximum Power?r_d - Effective Radius of Wheel?i_o - Gear Ratio of Final Drive?i_g - Minimum Gear Ratio of Transmission?π - Archimedes' constant?

Maximum Speed of Vehicle Example

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Here is how the Maximum Speed of Vehicle equation looks like with Values.

Here is how the Maximum Speed of Vehicle equation looks like with Units.

Here is how the Maximum Speed of Vehicle equation looks like.

157.0164 = \frac{3.1416 \cdot 35000 \cdot 0.45}{30 \cdot 2 \cdot 0.55}

157.0164m/s = \frac{3.1416 \cdot 35000rev/min \cdot 0.45m}{30 \cdot 2 \cdot 0.55}

157.0164 = \frac{3.1416 \cdot 35000 \cdot 0.45}{30 \cdot 2 \cdot 0.55}

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Maximum Speed of Vehicle Solution

Follow our step by step solution on how to calculate Maximum Speed of Vehicle?

FIRST Step Consider the formula

V m = \frac{π \cdot n p \cdot r d}{30 \cdot i o \cdot i g}

Next Step Substitute values of Variables

∴

V m = \frac{π \cdot 35000rev/min \cdot 0.45m}{30 \cdot 2 \cdot 0.55}

Next Step Substitute values of Constants

∴

V m = \frac{3.1416 \cdot 35000rev/min \cdot 0.45m}{30 \cdot 2 \cdot 0.55}

Next Step Convert Units

∴

V m = \frac{3.1416 \cdot 3665.1914rad/s \cdot 0.45m}{30 \cdot 2 \cdot 0.55}

Next Step Prepare to Evaluate

∴

V m = \frac{3.1416 \cdot 3665.1914 \cdot 0.45}{30 \cdot 2 \cdot 0.55}

Next Step Evaluate

∴

V m = 157.016433645699m/s

LAST Step Rounding Answer

∴

V m = 157.0164m/s

Maximum Speed of Vehicle Formula Elements

Variables

Constants

Maximum Speed of Vehicle

Maximum Speed of Vehicle is defined as the highest velocity that a vehicle can achieve with parameters unique to that vehicle.

Symbol: V_m

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum Speed of Vehicle

Speed of Engine at Maximum Power

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.

Symbol: n_p

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Engine at Maximum Power

Effective Radius of Wheel

Effective Radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.

Symbol: r_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Radius of Wheel

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.

Symbol: i_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Ratio of Final Drive

Minimum Gear Ratio of Transmission

Minimum Gear Ratio of Transmission is defined as the lowest magnitude of the gear ratio of a considered vehicle.

Symbol: i_g

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Minimum Gear Ratio of Transmission

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Load on Wheels in Race Cars category

Go Wheel Load on Front Outside Wheel during Cornering

W' = W + W f

Go Wheel Load on Front Inside Wheel during Cornering

W' = W - W f

Go Wheel Load on Rear Outside Wheel during Cornering

W' = W + W r

Go Wheel Load on Rear Inside Wheel during Cornering

W' = W - W r

How to Evaluate Maximum Speed of Vehicle?

Maximum Speed of Vehicle evaluator 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 evaluate 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 V_m symbol.

How to evaluate Maximum Speed of Vehicle using this online evaluator? To use this online evaluator for Maximum Speed of Vehicle, enter Speed of Engine at Maximum Power (n_p), Effective Radius of Wheel (r_d), Gear Ratio of Final Drive (i_o) & Minimum Gear Ratio of Transmission (i_g) and hit the calculate button.

FAQs on Maximum Speed of Vehicle

What is the formula to find Maximum Speed of Vehicle?

The formula of Maximum Speed of Vehicle is expressed as 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). Here is an example- 157.0164 = (pi*3665.19142900145*0.45)/(30*2*0.55).

How to calculate Maximum Speed of Vehicle?

With Speed of Engine at Maximum Power (n_p), Effective Radius of Wheel (r_d), Gear Ratio of Final Drive (i_o) & Minimum Gear Ratio of Transmission (i_g) we can find Maximum Speed of Vehicle using the 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). This formula also uses Archimedes' constant .

Can the Maximum Speed of Vehicle be negative?

No, the Maximum Speed of Vehicle, measured in Speed cannot be negative.

Which unit is used to measure Maximum Speed of Vehicle?

Maximum Speed of Vehicle is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Maximum Speed of Vehicle can be measured.

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Maximum Speed of Vehicle Formula

Maximum Speed of Vehicle Example

Maximum Speed of Vehicle Solution

Maximum Speed of Vehicle Formula Elements

Other formulas in Load on Wheels in Race Cars category

How to Evaluate Maximum Speed of Vehicle?

FAQs on Maximum Speed of Vehicle

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