Feed Given Instantaneous Cutting Speed Calculator

Formula Used:

\[ Feed = \frac{Outer\ Radius\ of\ Workpiece - \left(\frac{Cutting\ Velocity}{2 \times \pi \times Rotational\ Frequency\ of\ Spindle}\right)}{Rotational\ Frequency\ of\ Spindle \times Process\ Time} \]

Outer Radius of Workpiece:

Cutting Velocity:

m/s

Rotational Frequency of Spindle:

Process Time:

Feed:

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1. What is the Feed Given Instantaneous Cutting Speed Formula?

The Feed Given Instantaneous Cutting Speed formula calculates the feed rate in machining operations based on the outer radius of the workpiece, cutting velocity, rotational frequency of the spindle, and process time. This formula helps optimize machining parameters for efficient material removal.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Feed = \frac{R_o - \left(\frac{V}{2 \times \pi \times \omega_s}\right)}{\omega_s \times t} \]

Where:

\( R_o \) — Outer Radius of Workpiece (m)
\( V \) — Cutting Velocity (m/s)
\( \omega_s \) — Rotational Frequency of Spindle (Hz)
\( t \) — Process Time (s)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula calculates the feed rate by considering the relationship between the cutting velocity, spindle rotation, and the geometry of the workpiece.

3. Importance of Feed Calculation

Details: Accurate feed calculation is crucial for optimizing machining processes, ensuring proper material removal rates, maintaining tool life, and achieving desired surface finish quality.

4. Using the Calculator

Tips: Enter outer radius in meters, cutting velocity in m/s, rotational frequency in Hz, and process time in seconds. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is feed rate in machining?
A: Feed rate is the distance the cutting tool advances along the workpiece for each revolution of the spindle, typically measured in millimeters per revolution or meters per minute.

Q2: Why is feed rate important?
A: Proper feed rate ensures efficient material removal, extends tool life, prevents tool breakage, and achieves the desired surface finish quality.

Q3: How does cutting velocity affect feed rate?
A: Higher cutting velocities generally allow for higher feed rates, but the relationship is complex and depends on material properties and tool characteristics.

Q4: What are typical feed rate values?
A: Feed rates vary significantly based on material, tool type, and machining operation, ranging from 0.05-0.5 mm/rev for finishing to 0.5-2.5 mm/rev for roughing operations.

Q5: Can this formula be used for all machining operations?
A: This specific formula is designed for operations where instantaneous cutting speed is a critical parameter. Different operations may require modified formulas based on specific conditions.