Translational Speed of Wheel Center Calculator

✖The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.ⓘ Effective Radius of Wheel [r_d]			+10% -10%
✖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.ⓘ Speed of Motor Shaft in Powerplant [N_pp]			+10% -10%
✖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.ⓘ Gear Ratio of Transmission [i]			+10% -10%
✖Gear ratio of final drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.ⓘ Gear Ratio of Final Drive [i_o]			+10% -10%

✖Translational Speed is the speed of the center of a wheel with respect to the ground. It is also called as linear speed.ⓘ Translational Speed of Wheel Center [V_t]

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Formula

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Translational Speed of Wheel Center

Formula

`"V"_{"t"} = (pi*"r"_{"d"}*"N"_{"pp"})/(30*"i"*"i"_{"o"})`

Example

`"162.2947km/h"=(pi*"0.45m"*"4879rev/min")/(30*"2.55"*"2")`

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Translational Speed of Wheel Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive)
V_t = (pi*r_d*N_pp)/(30*i*i_o)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Translational Speed - (Measured in Meter per Second) - Translational Speed is the speed of the center of a wheel with respect to the ground. It is also called as linear speed.
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.
Speed of Motor Shaft in Powerplant - (Measured in Revolution per Minute) - 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Effective Radius of Wheel: 0.45 Meter --> 0.45 Meter No Conversion Required
Speed of Motor Shaft in Powerplant: 4879 Revolution per Minute --> 4879 Revolution per Minute No Conversion Required
Gear Ratio of Transmission: 2.55 --> No Conversion Required
Gear Ratio of Final Drive: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_t = (pi*r_d*N_pp)/(30*i*i_o) --> (pi*0.45*4879)/(30*2.55*2)

Evaluating ... ...

V_t = 45.0818545790135

STEP 3: Convert Result to Output's Unit

45.0818545790135 Meter per Second -->162.294676484449 Kilometer per Hour (Check conversion here)

FINAL ANSWER

162.294676484449 ≈ 162.2947 Kilometer per Hour <-- Translational Speed

(Calculation completed in 00.004 seconds)

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Created by Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

Aditya Prakash Gautam has created this Calculator and 25+ more calculators!

Verified by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has verified this Calculator and 8 more calculators!

< 13 Mechanics of Train Movement Calculators

Translational Speed of Wheel Center

Go Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive)

Wheel Force Function

Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)

Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

Aerodynamic Drag Force

Go Drag Force = Drag Coefficient*((Mass Density*Flow Velocity^2)/2)*Reference Area

Schedule Speed

Go Schedule Speed = Distance Travelled by Train/(Running Time of Train+Stop Time of Train)

Crest Speed given Time for Acceleration

Go Crest Speed = Time for Acceleration*Acceleration of Train

Coefficient of Adhesion

Go Coefficient of Adhesion = Tractive Effort/Weight of Train

Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

Gradient of Train for Proper Movement of Traffic

Go Gradient = sin(Angle D)*100

Accelerating Weight of Train

Go Accelerating Weight of Train = Weight of Train*1.10

Translational Speed of Wheel Center Formula

Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive)
V_t = (pi*r_d*N_pp)/(30*i*i_o)

Difference between Rotational and Translational motion?

Translational Motion: Translational motion is motion that involves the sliding of an object in one or more of the three dimensions: x, y or z. But an object can still be moving even when it's just sitting at a particular x-, y- and z-coordinate, it can still spin.
Rotational Motion: Rotational motion is where an object spins around an internal axis in a continuous way. An ice-skater can do this by spinning on the spot. She will give herself rotational energy. And because energy is always conserved and a smaller object must spin faster to have the same energy, when she moves her arms in towards her body, her rotation speed will increase - the spinning will get faster and faster.

How to Calculate Translational Speed of Wheel Center?

Translational Speed of Wheel Center calculator 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 calculate 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 calculate Translational Speed of Wheel Center using this online calculator? To use this online calculator 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. Here is how the Translational Speed of Wheel Center calculation can be explained with given input values -> 584.2608 = (pi*0.45*510.927685202802)/(30*2.55*2).

FAQ

What is Translational Speed of Wheel Center?

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 and is represented as V_t = (pi*r_d*N_pp)/(30*i*i_o) or Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive). The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling, 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, 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 & Gear ratio of final drive is the ratio between the revolutions of the gearbox shaft and the revolutions of the wheels.

How to calculate Translational Speed of Wheel Center?

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 is calculated using Translational Speed = (pi*Effective Radius of Wheel*Speed of Motor Shaft in Powerplant)/(30*Gear Ratio of Transmission*Gear Ratio of Final Drive). To calculate Translational Speed of Wheel Center, you need 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). With our tool, you need to enter the respective value for Effective Radius of Wheel, Speed of Motor Shaft in Powerplant, Gear Ratio of Transmission & Gear Ratio of Final Drive 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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