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The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish. Check FAQs
dT=de⋅dwdw-de
dT - The Diameter of Grinding Tool Wheel?de - Equivalent Wheel Diameter?dw - Workpiece Diameter?

Wheel diameter given equivalent wheel diameter Example

With values
With units
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Here is how the Wheel diameter given equivalent wheel diameter equation looks like with Values.

Here is how the Wheel diameter given equivalent wheel diameter equation looks like with Units.

Here is how the Wheel diameter given equivalent wheel diameter equation looks like.

12.1767Edit=6.8Edit⋅15.4Edit15.4Edit-6.8Edit
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Wheel diameter given equivalent wheel diameter Solution

Follow our step by step solution on how to calculate Wheel diameter given equivalent wheel diameter?

FIRST Step Consider the formula
dT=de⋅dwdw-de
Next Step Substitute values of Variables
∴ dT=6.8mm⋅15.4mm15.4mm-6.8mm
Next Step Convert Units
∴ dT=0.0068m⋅0.0154m0.0154m-0.0068m
Next Step Prepare to Evaluate
∴ dT=0.0068⋅0.01540.0154-0.0068
Next Step Evaluate
∴dT=0.0121767441860465m
Next Step Convert to Output's Unit
∴dT=12.1767441860465mm
LAST Step Rounding Answer
∴dT=12.1767mm

Wheel diameter given equivalent wheel diameter Formula Elements

Variables
The Diameter of Grinding Tool Wheel
The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.
Symbol: dT
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find The Diameter of Grinding Tool WheelOpen Variable
Equivalent Wheel Diameter
Equivalent Wheel Diameter is the size of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.
Symbol: de
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Equivalent Wheel DiameterOpen Variable
Workpiece Diameter
Workpiece Diameter is defined as the size of the workpiece in grinding operation which influences the selection of grinding parameters such as wheel speed, feed rate, and depth of cut.
Symbol: dw
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Workpiece DiameterOpen Variable

Other Formulas to find The Diameter of Grinding Tool Wheel

​Go Diameter of wheel for given Average Length of chip
dT=2⋅lcsin(θ)
​Go Diameter of wheel for given infeed
dT=2⋅fin1-cos(θ)
​Go Diameter of wheel given Average length of chip and Infeed
dT=(lc)2fin
​Go Diameter of wheel given Feed speed in Grinding
dT=2⋅(Vi-VF)

Other formulas in Wheel category

​Go Surface speed of wheel given number of chip produce per time
vT=NcAp⋅cg
​Go Surface speed of Wheel given constant for grinding wheel
VT=K⋅Vw⋅finacmax2
​Go Constant for grinding wheel given maximum undeformed chip thickness
K=(acmax2)⋅VTVw⋅fin
​Go Feed speed in Grinding
VF=Vi-(dT2)

How to Evaluate Wheel diameter given equivalent wheel diameter?

Wheel diameter given equivalent wheel diameter evaluator uses The Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Workpiece Diameter/(Workpiece Diameter-Equivalent Wheel Diameter) to evaluate the The Diameter of Grinding Tool Wheel, Wheel diameter given equivalent wheel diameter is used to determine the diameter of the grinding wheel needed for a specific grinding cycle based on the equivalent wheel diameter and workpiece diameter. The Diameter of Grinding Tool Wheel is denoted by dT symbol.

How to evaluate Wheel diameter given equivalent wheel diameter using this online evaluator? To use this online evaluator for Wheel diameter given equivalent wheel diameter, enter Equivalent Wheel Diameter (de) & Workpiece Diameter (dw) and hit the calculate button.

FAQs on Wheel diameter given equivalent wheel diameter

What is the formula to find Wheel diameter given equivalent wheel diameter?
The formula of Wheel diameter given equivalent wheel diameter is expressed as The Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Workpiece Diameter/(Workpiece Diameter-Equivalent Wheel Diameter). Here is an example- 12176.74 = 0.0068*0.0154/(0.0154-0.0068).
How to calculate Wheel diameter given equivalent wheel diameter?
With Equivalent Wheel Diameter (de) & Workpiece Diameter (dw) we can find Wheel diameter given equivalent wheel diameter using the formula - The Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Workpiece Diameter/(Workpiece Diameter-Equivalent Wheel Diameter).
What are the other ways to Calculate The Diameter of Grinding Tool Wheel?
Here are the different ways to Calculate The Diameter of Grinding Tool Wheel-
  • The Diameter of Grinding Tool Wheel=2*Length of Chip/sin(Angle Made by the Length of Chip)OpenImg
  • The Diameter of Grinding Tool Wheel=2*Feed/(1-cos(Angle Made by the Length of Chip))OpenImg
  • The Diameter of Grinding Tool Wheel=(Length of Chip)^2/FeedOpenImg
Can the Wheel diameter given equivalent wheel diameter be negative?
No, the Wheel diameter given equivalent wheel diameter, measured in Length cannot be negative.
Which unit is used to measure Wheel diameter given equivalent wheel diameter?
Wheel diameter given equivalent wheel diameter is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Wheel diameter given equivalent wheel diameter can be measured.
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