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Width of grinding path given Number of chips produced per time Formula

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Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel. Check FAQs

a P = \frac{N C}{u g \cdot c g}

a_P - Width of Grinding Path?N_C - Number of Chip Produced Per Unit Time?u_g - Surface Speed of Grinding Wheel?c_g - Number of Active Grains Per Area on Wheel Surface?

Width of grinding path given Number of chips produced per time Example

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Here is how the Width of grinding path given Number of chips produced per time equation looks like with Values.

Here is how the Width of grinding path given Number of chips produced per time equation looks like with Units.

Here is how the Width of grinding path given Number of chips produced per time equation looks like.

457.4042 = \frac{500}{3975 \cdot 275}

457.4042mm = \frac{500}{3975mm/s \cdot 275}

457.4042 = \frac{500}{3975 \cdot 275}

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Width of grinding path given Number of chips produced per time Solution

Follow our step by step solution on how to calculate Width of grinding path given Number of chips produced per time?

FIRST Step Consider the formula

a P = \frac{N C}{u g \cdot c g}

Next Step Substitute values of Variables

∴

a P = \frac{500}{3975mm/s \cdot 275}

Next Step Convert Units

∴

a P = \frac{500}{3.975m/s \cdot 275}

Next Step Prepare to Evaluate

∴

a P = \frac{500}{3.975 \cdot 275}

Next Step Evaluate

∴

a P = 0.457404230989137m

Next Step Convert to Output's Unit

∴

a P = 457.404230989137mm

LAST Step Rounding Answer

∴

a P = 457.4042mm

Width of grinding path given Number of chips produced per time Formula Elements

Variables

Width of Grinding Path

Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.

Symbol: a_P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Grinding Path

Number of Chip Produced Per Unit Time

Number of Chip Produced per Unit Time is the numbers of scrap/chip produced in a specified time frame while grinding operation. It signifies the effectiveness of the grinding wheel.

Symbol: N_C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Chip Produced Per Unit Time

Surface Speed of Grinding Wheel

Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.

Symbol: u_g

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Surface Speed of Grinding Wheel

Number of Active Grains Per Area on Wheel Surface

Number of active grains per area on wheel surface is defined as the number of grains present on the surface of grinding wheel that is actively in contact with the workpiece surface.

Symbol: c_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Active Grains Per Area on Wheel Surface

Other formulas in Grinding Chip category

Go Average length of chip

l c = d t \cdot \frac{\sin (θ)}{2}

Go Angle made by length of chip

θ = a \sin (2 \cdot \frac{l c}{d t})

Go Infeed for given Angle made by length of chip

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

Go Angle made by length of chip given Infeed

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

How to Evaluate Width of grinding path given Number of chips produced per time?

Width of grinding path given Number of chips produced per time evaluator uses Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface) to evaluate the Width of Grinding Path, Width of grinding path given Number of chips produced per time refers to the axial dimension of the material removed by the grinding wheel during one pass. This parameter is crucial in grinding operations as it helps ensure consistent material removal and pressure application on the grinding wheel. By controlling the width of cut, operators can optimize grinding efficiency, achieve desired surface finishes, and prolong the life of both the grinding wheel and the workpiece. Width of Grinding Path is denoted by a_P symbol.

How to evaluate Width of grinding path given Number of chips produced per time using this online evaluator? To use this online evaluator for Width of grinding path given Number of chips produced per time, enter Number of Chip Produced Per Unit Time (N_C), Surface Speed of Grinding Wheel (u_g) & Number of Active Grains Per Area on Wheel Surface (c_g) and hit the calculate button.

FAQs on Width of grinding path given Number of chips produced per time

What is the formula to find Width of grinding path given Number of chips produced per time?

The formula of Width of grinding path given Number of chips produced per time is expressed as Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface). Here is an example- 1.8E+6 = 500/(3.975*275).

How to calculate Width of grinding path given Number of chips produced per time?

With Number of Chip Produced Per Unit Time (N_C), Surface Speed of Grinding Wheel (u_g) & Number of Active Grains Per Area on Wheel Surface (c_g) we can find Width of grinding path given Number of chips produced per time using the formula - Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface).

Can the Width of grinding path given Number of chips produced per time be negative?

No, the Width of grinding path given Number of chips produced per time, measured in Length cannot be negative.

Which unit is used to measure Width of grinding path given Number of chips produced per time?

Width of grinding path given Number of chips produced per time is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of grinding path given Number of chips produced per time can be measured.

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Width of grinding path given Number of chips produced per time Formula

Width of grinding path given Number of chips produced per time Example

Width of grinding path given Number of chips produced per time Solution

Width of grinding path given Number of chips produced per time Formula Elements

Other formulas in Grinding Chip category

How to Evaluate Width of grinding path given Number of chips produced per time?

FAQs on Width of grinding path given Number of chips produced per time

Variable Name