🚀 Drill RPM Calculator & Simulator
- Set Drill Diameter (d): Enter the nominal diameter of the drill bit (1mm to 50mm) to drill the hole.
- Set Target Cutting Speed (V_c) and Feed per Revolution (f): Define the cutting speed (m/min) and feed per revolution (mm/rev) based on the workpiece material (aluminum, mild steel, cast iron, etc.).
- Set Hole Depth (L): Specify the depth of the hole (5mm to 200mm) to be drilled into the workpiece.
- Monitor Real-Time Drilling: Observe the drill bit rotating at high speed and feeding downward to drill the material, watch the bi-directional chip evacuation particles, and measure the total drilling time.
📚 Detailed Drilling Formula and Drill Bit Geometry Mechanics Guide ▼
1. Drill Spindle Speed (N) and Cutting Speed (V_c) Formulas
In the drilling process, the cutting speed (V_c) refers to the peripheral speed at which the outer edge (circumference) of the drill shears against the wall of the hole.
N = (1000 × V_c) / (π × d) [RPM]
Where d is the drill diameter (mm) and V_c is the cutting speed (m/min). As the drill diameter decreases, the spindle speed N required to achieve the same cutting speed must increase exponentially.
2. Feed Rate (F) and Net Machining Time (t) Considering Drill Tip Angle
Assuming the distance the drill bit advances axially per spindle revolution is f (mm/rev), the actual linear feed rate F (mm/min) of the tool into the workpiece is calculated by simple multiplication as follows:
F = N × f [mm/min]
When drilling, simply dividing the penetration depth L by the feed rate is not sufficient. Because the drill tip has a pointed angle (typically around 118 degrees), an extra distance equal to the cone tip height (h ≈ 0.3 × d) is required for the drill to break through completely. Therefore, the total time required for complete penetration is modeled as follows:
t = (L + 0.3 × d) / F [min]
This is a critical, fundamental physics formula for process planning and cycle time estimation in machining environments.
3. Material Removal Rate (MRR) and Thermal Stress Management
The Material Removal Rate (MRR), which is the volumetric rate of metal removed during drilling, is determined by multiplying the cross-sectional area of the hole by the feed rate.
MRR = (π × d² / 4) × F [mm³/min]
Since drilling takes place inside an enclosed hole, cutting heat can easily accumulate. If chip evacuation is blocked during high-speed feeding, the drill bit can break due to extreme temperatures. Therefore, proper coolant application and the design of spiral chip evacuation paths are highly emphasized.