To calculate the power consumed for the feed of a milling machine, we'll first find the relevant parameters mentioned in the problem.
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Calculate the Tangential Cutting Force (Fc): The tangential cutting force can be defined as the horizontal force exerted by the milling cutter.
\[ F_c = 1.5 , \text{kN} = 1500 , \text{N} \]
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Find the Cutting Speed (Vc): The formula for the cutting speed \( V_c \) for a circular cutter is given by:
\[ V_c = \pi \cdot D \cdot N \]
Where:
- \( D \) = Diameter of the cutter = 125 mm = 0.125 m
- \( N \) = Rotational speed in revolutions per minute (rpm) = 70 r/min
First, convert \( N \) to revolutions per second:
\[ N = \frac{70}{60} , \text{r/s} \approx 1.1667 , \text{r/s} \]
Now substitute \( D \) and \( N \):
\[ V_c = \pi \cdot 0.125 , \text{m} \cdot 1.1667 , \text{r/s} \approx 0.4595 , \text{m/s} \]
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Calculate the Power (P): The power consumed by the milling process can be calculated using the formula:
\[ P = F_c \cdot V_c \]
Substituting the values we have:
\[ P = 1500 , \text{N} \cdot 0.4595 , \text{m/s} \approx 689.25 , \text{W} \]
Converting to kilowatts (1 kW = 1000 W):
\[ P \approx 0.689 , \text{kW} \]
Thus, the power consumed for the feed of the milling machine is approximately 0.689 kW.
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