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Translational Speed of Wheel Center Formula

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Translational Speed is the speed of the center of a wheel with respect to the ground. It is also called as linear speed. Check FAQs

V t = \frac{π \cdot r d \cdot N pp}{30 \cdot i \cdot i o}

V_t - Translational Speed?r_d - Effective Radius of Wheel?N_pp - Speed of Motor Shaft in Powerplant?i - Gear Ratio of Transmission?i_o - Gear Ratio of Final Drive?π - Archimedes' constant?

Translational Speed of Wheel Center Example

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Here is how the Translational Speed of Wheel Center equation looks like with Values.

Here is how the Translational Speed of Wheel Center equation looks like with Units.

Here is how the Translational Speed of Wheel Center equation looks like.

162.2947 = \frac{3.1416 \cdot 0.45 \cdot 4879}{30 \cdot 2.55 \cdot 2}

162.2947km/h = \frac{3.1416 \cdot 0.45m \cdot 4879rev/min}{30 \cdot 2.55 \cdot 2}

162.2947 = \frac{3.1416 \cdot 0.45 \cdot 4879}{30 \cdot 2.55 \cdot 2}

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Translational Speed of Wheel Center Solution

Follow our step by step solution on how to calculate Translational Speed of Wheel Center?

FIRST Step Consider the formula

V t = \frac{π \cdot r d \cdot N pp}{30 \cdot i \cdot i o}

Next Step Substitute values of Variables

∴

V t = \frac{π \cdot 0.45m \cdot 4879rev/min}{30 \cdot 2.55 \cdot 2}

Next Step Substitute values of Constants

∴

V t = \frac{3.1416 \cdot 0.45m \cdot 4879rev/min}{30 \cdot 2.55 \cdot 2}

Next Step Prepare to Evaluate

∴

V t = \frac{3.1416 \cdot 0.45 \cdot 4879}{30 \cdot 2.55 \cdot 2}

Next Step Evaluate

∴

V t = 45.0818545790135m/s

Next Step Convert to Output's Unit

∴

V t = 162.294676484449km/h

LAST Step Rounding Answer

∴

V t = 162.2947km/h

Translational Speed of Wheel Center Formula Elements

Variables

Constants

Translational Speed

Translational Speed is the speed of the center of a wheel with respect to the ground. It is also called as linear speed.

Symbol: V_t

Measurement: SpeedUnit: km/h

Note: Value should be greater than 0.

Formulas to find Translational Speed

Effective Radius of Wheel

The 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

Speed of Motor Shaft in Powerplant

Speed of Motor Shaft in Powerplant (Engine or Motor or combination of both) is the rotational speed with which the motor shaft or crankshaft (in case of engine) rotates.

Symbol: N_pp

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Motor Shaft in Powerplant

Gear Ratio of Transmission

Gear Ratio of Transmission is the ratio between the revolutions of the engine crankshaft and the revolutions of the shaft which comes out of the gearbox.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Ratio of Transmission

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

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 Mechanics of Train Movement category

Go Crest Speed given Time for Acceleration

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Go Schedule Speed

V s = \frac{D}{T run + T stop}

Go Coefficient of Adhesion

μ = \frac{F t}{W}

Go Accelerating Weight of Train

W e = W \cdot 1.10

How to Evaluate Translational Speed of Wheel Center?

Translational Speed of Wheel Center evaluator uses Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive) to evaluate the Translational Speed, The Translational Speed of Wheel Center formula is defined as the linear speed with which the wheels' center will move with respect to the ground and calculating it with respect to the speed of powerplant, effective radius, and gear ratios of the transmission and final drive. Translational Speed is denoted by V_t symbol.

How to evaluate Translational Speed of Wheel Center using this online evaluator? To use this online evaluator for Translational Speed of Wheel Center, enter Effective Radius of Wheel (r_d), Speed of Motor Shaft in Powerplant (N_pp), Gear Ratio of Transmission (i) & Gear Ratio of Final Drive (i_o) and hit the calculate button.

FAQs on Translational Speed of Wheel Center

What is the formula to find Translational Speed of Wheel Center?

The formula of Translational Speed of Wheel Center is expressed as Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive). Here is an example- 584.2608 = (pi*0.45*510.927685202802)/(30*2.55*2).

How to calculate Translational Speed of Wheel Center?

With Effective Radius of Wheel (r_d), Speed of Motor Shaft in Powerplant (N_pp), Gear Ratio of Transmission (i) & Gear Ratio of Final Drive (i_o) we can find Translational Speed of Wheel Center using the formula - Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive). This formula also uses Archimedes' constant .

Can the Translational Speed of Wheel Center be negative?

No, the Translational Speed of Wheel Center, measured in Speed cannot be negative.

Which unit is used to measure Translational Speed of Wheel Center?

Translational Speed of Wheel Center is usually measured using the Kilometer per Hour[km/h] for Speed. Meter per Second[km/h], Meter per Minute[km/h], Meter per Hour[km/h] are the few other units in which Translational Speed of Wheel Center can be measured.

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Translational Speed of Wheel Center Formula

Translational Speed of Wheel Center Example

Translational Speed of Wheel Center Solution

Translational Speed of Wheel Center Formula Elements

Other formulas in Mechanics of Train Movement category

How to Evaluate Translational Speed of Wheel Center?

FAQs on Translational Speed of Wheel Center

Variable Name