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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=Λt⋅dw((ViVF)-1)⋅Λw
dT - The Diameter of Grinding Tool Wheel?Λt - Wheel Removal Parameter?dw - Workpiece Diameter?Vi - Machine Infeed Speed Towards Workpiece?VF - The Feed Speed?Λw - Workpiece Removal Parameter?

Diameter of wheel given feed and machine infeed speed Example

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Here is how the Diameter of wheel given feed and machine infeed speed equation looks like with Values.

Here is how the Diameter of wheel given feed and machine infeed speed equation looks like with Units.

Here is how the Diameter of wheel given feed and machine infeed speed equation looks like.

12.0607Edit=13.5Edit⋅15.4Edit((9.5Edit3.49Edit)-1)⋅10.01Edit
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Diameter of wheel given feed and machine infeed speed Solution

Follow our step by step solution on how to calculate Diameter of wheel given feed and machine infeed speed?

FIRST Step Consider the formula
dT=Λt⋅dw((ViVF)-1)⋅Λw
Next Step Substitute values of Variables
∴ dT=13.5⋅15.4mm((9.5mm/s3.49mm/s)-1)⋅10.01
Next Step Convert Units
∴ dT=13.5⋅0.0154m((0.0095m/s0.0035m/s)-1)⋅10.01
Next Step Prepare to Evaluate
∴ dT=13.5⋅0.0154((0.00950.0035)-1)⋅10.01
Next Step Evaluate
∴dT=0.0120606681172405m
Next Step Convert to Output's Unit
∴dT=12.0606681172405mm
LAST Step Rounding Answer
∴dT=12.0607mm

Diameter of wheel given feed and machine infeed speed 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.
Wheel Removal Parameter
Wheel Removal Parameter is the ratio of the volume of wheel removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.
Symbol: Λt
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Machine Infeed Speed Towards Workpiece
Machine Infeed Speed Towards Workpiece is the rate at which the wheel is moving towards the workpiece in grinding.
Symbol: Vi
Measurement: SpeedUnit: mm/s
Note: Value can be positive or negative.
The Feed Speed
The Feed Speed is the rate at which the cutting tool or workpiece moves during a machining operation. It is given against a workpiece per unit time.
Symbol: VF
Measurement: SpeedUnit: mm/s
Note: Value should be greater than 0.
Workpiece Removal Parameter
Workpiece Removal Parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force. The amount of material removed from the workpiece per unit time.
Symbol: Λw
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.

Credits

Creator Image
Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has created this Formula and 300+ more formulas!
Verifier Image
Verified by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has verified this Formula and 100+ more formulas!

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 Diameter of wheel given feed and machine infeed speed?

Diameter of wheel given feed and machine infeed speed evaluator uses The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter) to evaluate the The Diameter of Grinding Tool Wheel, The Diameter of wheel given feed and machine infeed speed is defined as selecting the wheel size to optimize material removal and surface finish while accommodating the specific feed rate and machine spindle speed. The Diameter of Grinding Tool Wheel is denoted by dT symbol.

How to evaluate Diameter of wheel given feed and machine infeed speed using this online evaluator? To use this online evaluator for Diameter of wheel given feed and machine infeed speed, enter Wheel Removal Parameter (Λt), Workpiece Diameter (dw), Machine Infeed Speed Towards Workpiece (Vi), The Feed Speed (VF) & Workpiece Removal Parameter (Λw) and hit the calculate button.

FAQs on Diameter of wheel given feed and machine infeed speed

What is the formula to find Diameter of wheel given feed and machine infeed speed?
The formula of Diameter of wheel given feed and machine infeed speed is expressed as The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter). Here is an example- 12060.67 = 13.5*0.0154/(((0.0095/0.00349)-1)*10.01).
How to calculate Diameter of wheel given feed and machine infeed speed?
With Wheel Removal Parameter (Λt), Workpiece Diameter (dw), Machine Infeed Speed Towards Workpiece (Vi), The Feed Speed (VF) & Workpiece Removal Parameter (Λw) we can find Diameter of wheel given feed and machine infeed speed using the formula - The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter).
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)
  • The Diameter of Grinding Tool Wheel=2*Feed/(1-cos(Angle Made by the Length of Chip))
  • The Diameter of Grinding Tool Wheel=(Length of Chip)^2/Feed
Can the Diameter of wheel given feed and machine infeed speed be negative?
No, the Diameter of wheel given feed and machine infeed speed, measured in Length cannot be negative.
Which unit is used to measure Diameter of wheel given feed and machine infeed speed?
Diameter of wheel given feed and machine infeed speed is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of wheel given feed and machine infeed speed can be measured.
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