How long will it take for a 51 mm length keyway to be milled if the milling machine has a 24 teeth cutter turning at 130 rpm and feed rate of 0.127 mm per tooth?

To calculate the time required to mill a 51 mm length keyway, we need to follow these steps:

1. **Determine the feed rate per revolution**:  
   The feed rate (distance the cutter advances in one revolution) is calculated by multiplying the feed per tooth by the number of teeth:
   \[
   \text{Feed per revolution} = \text{Feed per tooth} \times \text{Number of teeth}
   \]
   Given:
   - Feed per tooth \( = 0.127 \, \text{mm} \)
   - Number of teeth \( = 24 \)

   \[
   \text{Feed per revolution} = 0.127 \times 24 = 3.048 \, \text{mm/rev}
   \]

2. **Determine the total revolutions required**:  
   The total number of revolutions required to mill a 51 mm length is given by:
   \[
   \text{Total revolutions} = \frac{\text{Total length}}{\text{Feed per revolution}}
   \]
   \[
   \text{Total revolutions} = \frac{51}{3.048} \approx 16.73 \, \text{revs}
   \]

3. **Calculate the time required**:  
   Time required is calculated by dividing the total revolutions by the spindle speed (in revolutions per minute, RPM):
   \[
   \text{Time} = \frac{\text{Total revolutions}}{\text{RPM}}
   \]
   Given that the spindle speed is 130 RPM:
   \[
   \text{Time} = \frac{16.73}{130} \approx 0.1287 \, \text{minutes} = 7.72 \, \text{seconds}
   \]

So, it will take approximately **7.72 seconds** to mill the 51 mm keyway.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How does cutter diameter affect milling time?
2. What is the impact of increasing feed per tooth on surface finish?
3. How do we calculate the material removal rate in milling?
4. What factors determine the ideal RPM for a milling cutter?
5. How does tool wear affect the milling process over time?

**Tip**: For smoother surface finishes, consider lowering the feed rate per tooth while maintaining optimal cutter speed.

Learn how to calculate the time required to mill a 51 mm keyway using a 24 teeth cutter at 130 RPM and a feed rate of 0.127 mm per tooth. This step-by-step guide covers key concepts like feed per revolution, RPM, and time estimation. Suitable for Grades 10-12 and technical education.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation