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Constant for machine type b given Power available for Machining Formula

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Constant For Tool Type(b) is defined as the constant for the type of material used in the tool. Check FAQs

b = \frac{\ln (\frac{P m}{a})}{\ln (W)}

b - Constant For Tool Type(b)?P_m - Power Available For Machining?a - Constant For Tool Type(a)?W - Initial Work Piece Weight?

Constant for machine type b given Power available for Machining Example

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Here is how the Constant for machine type b given Power available for Machining equation looks like with Values.

Here is how the Constant for machine type b given Power available for Machining equation looks like with Units.

Here is how the Constant for machine type b given Power available for Machining equation looks like.

0.53 = \frac{\ln (\frac{11.2}{2.9})}{\ln (12.8)}

0.53 = \frac{\ln (\frac{11.2kW}{2.9})}{\ln (12.8kg)}

0.53 = \frac{\ln (\frac{11.2}{2.9})}{\ln (12.8)}

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Constant for machine type b given Power available for Machining Solution

Follow our step by step solution on how to calculate Constant for machine type b given Power available for Machining?

FIRST Step Consider the formula

b = \frac{\ln (\frac{P m}{a})}{\ln (W)}

Next Step Substitute values of Variables

∴

b = \frac{\ln (\frac{11.2kW}{2.9})}{\ln (12.8kg)}

Next Step Prepare to Evaluate

∴

b = \frac{\ln (\frac{11.2}{2.9})}{\ln (12.8)}

Next Step Evaluate

∴

b = 0.52999902519181

LAST Step Rounding Answer

∴

b = 0.53

Constant for machine type b given Power available for Machining Formula Elements

Variables

Functions

Constant For Tool Type(b)

Constant For Tool Type(b) is defined as the constant for the type of material used in the tool.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant For Tool Type(b)

Power Available For Machining

Power Available for Machining is defined as the amount of power available during the machining process.

Symbol: P_m

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Available For Machining

Constant For Tool Type(a)

Constant For Tool Type(a) is defined as the constant for the type of material used in the tool.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant For Tool Type(a)

Initial Work Piece Weight

Initial Work Piece Weight is defined as the weight of the work piece before undergoing machining operation.

Symbol: W

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Initial Work Piece Weight

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Initial Weight of Workpiece category

Go Surface area of Workpiece given Surface Generation rate

A m = (t s \cdot R sg)

Go Length of Workpiece given Machining time for maximum power

L = \frac{t p \cdot P m}{p s \cdot π \cdot d w \cdot d cut}

Go Power available for Machining given Initial weight of workpiece

P m = a p \cdot {(W)}^{b}

Go Initial weight of workpiece given Power available for Machining

W = {(\frac{P m}{a})}^{\frac{1}{b}}

How to Evaluate Constant for machine type b given Power available for Machining?

Constant for machine type b given Power available for Machining evaluator uses Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight)) to evaluate the Constant For Tool Type(b), The Constant for machine type b given Power available for Machining is defined as the constant for the type of material used in the tool. Constant For Tool Type(b) is denoted by b symbol.

How to evaluate Constant for machine type b given Power available for Machining using this online evaluator? To use this online evaluator for Constant for machine type b given Power available for Machining, enter Power Available For Machining (P_m), Constant For Tool Type(a) (a) & Initial Work Piece Weight (W) and hit the calculate button.

FAQs on Constant for machine type b given Power available for Machining

What is the formula to find Constant for machine type b given Power available for Machining?

The formula of Constant for machine type b given Power available for Machining is expressed as Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight)). Here is an example- 0.529999 = (ln(11200/2.9))/(ln(12.79999)).

How to calculate Constant for machine type b given Power available for Machining?

With Power Available For Machining (P_m), Constant For Tool Type(a) (a) & Initial Work Piece Weight (W) we can find Constant for machine type b given Power available for Machining using the formula - Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight)). This formula also uses Natural Logarithm (ln) function(s).

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