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Diameter of wheel given feed and machine infeed speed Formula

GoDiameter of wheel for given Average Length of chip Formula

GoDiameter of wheel for given infeed Formula

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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

d T = Λ t \cdot \frac{d w}{((\frac{V i}{V F}) - 1) \cdot Λ w}

d_T - The Diameter of Grinding Tool Wheel?Λ_t - Wheel Removal Parameter?d_w - Workpiece Diameter?V_i - Machine Infeed Speed Towards Workpiece?V_F - The Feed Speed?Λ_w - 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.

12.0607 = 13.5 \cdot \frac{15.4}{((\frac{9.5}{3.49}) - 1) \cdot 10.01}

12.0607mm = 13.5 \cdot \frac{15.4mm}{((\frac{9.5mm/s}{3.49mm/s}) - 1) \cdot 10.01}

12.0607 = 13.5 \cdot \frac{15.4}{((\frac{9.5}{3.49}) - 1) \cdot 10.01}

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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

d T = Λ t \cdot \frac{d w}{((\frac{V i}{V F}) - 1) \cdot Λ w}

Next Step Substitute values of Variables

∴

d T = 13.5 \cdot \frac{15.4mm}{((\frac{9.5mm/s}{3.49mm/s}) - 1) \cdot 10.01}

Next Step Convert Units

∴

d T = 13.5 \cdot \frac{0.0154m}{((\frac{0.0095m/s}{0.0035m/s}) - 1) \cdot 10.01}

Next Step Prepare to Evaluate

∴

d T = 13.5 \cdot \frac{0.0154}{((\frac{0.0095}{0.0035}) - 1) \cdot 10.01}

Next Step Evaluate

∴

d T = 0.0120606681172405m

Next Step Convert to Output's Unit

∴

d T = 12.0606681172405mm

LAST Step Rounding Answer

∴

d T = 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: d_T

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find The Diameter of Grinding Tool Wheel

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: Λ_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wheel Removal Parameter

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: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Workpiece Diameter

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: V_i

Measurement: SpeedUnit: mm/s

Note: Value can be positive or negative.

Formulas to find Machine Infeed Speed Towards Workpiece

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: V_F

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find The Feed Speed

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: Λ_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Workpiece Removal Parameter

Other Formulas to find The Diameter of Grinding Tool Wheel

Go Diameter of wheel for given Average Length of chip

d T = 2 \cdot \frac{l c}{\sin (θ)}

Go Diameter of wheel for given infeed

d T = 2 \cdot \frac{f in}{1 - \cos (θ)}

Go Diameter of wheel given Average length of chip and Infeed

d T = \frac{{(l c)}^{2}}{f in}

Go Diameter of wheel given Feed speed in Grinding

d T = 2 \cdot (V i - V F)

Other formulas in Wheel category

Go Surface speed of wheel given number of chip produce per time

v T = \frac{N c}{A p \cdot c g}

Go Surface speed of Wheel given constant for grinding wheel

V T = \frac{K \cdot V w \cdot \sqrt{f in}}{{a cmax}^{2}}

Go Constant for grinding wheel given maximum undeformed chip thickness

K = ({a cmax}^{2}) \cdot \frac{V T}{V w \cdot \sqrt{f in}}

Go Feed speed in Grinding

V F = V i - (\frac{d T}{2})

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 d_T 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 (Λ_t), Workpiece Diameter (d_w), Machine Infeed Speed Towards Workpiece (V_i), The Feed Speed (V_F) & Workpiece Removal Parameter (Λ_w) 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 (Λ_t), Workpiece Diameter (d_w), Machine Infeed Speed Towards Workpiece (V_i), The Feed Speed (V_F) & Workpiece Removal Parameter (Λ_w) 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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Diameter of wheel given feed and machine infeed speed Formula

​GoDiameter of wheel for given Average Length of chip Formula

​GoDiameter of wheel for given infeed Formula

Diameter of wheel given feed and machine infeed speed Example

Diameter of wheel given feed and machine infeed speed Solution

Diameter of wheel given feed and machine infeed speed Formula Elements

Other Formulas to find The Diameter of Grinding Tool Wheel

Other formulas in Wheel category

How to Evaluate Diameter of wheel given feed and machine infeed speed?

FAQs on Diameter of wheel given feed and machine infeed speed

Variable Name

GoDiameter of wheel for given Average Length of chip Formula

GoDiameter of wheel for given infeed Formula