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Deep Hole Drilling Conversion Tables and Formulas

Deep hole drilling is a global industry. A European machine builder specifies coolant pressure in bar, an American tool manufacturer rates gun drills in PSI, and a Japanese workpiece drawing lists hardness in HRC. Moving between these unit systems accurately is essential for specification writing, tool ordering, and process setup.

This article provides conversion tables for all common units used in deep hole drilling. Each table includes the conversion factor and a practical example relevant to deep hole drilling operations.

Length and Diameter Conversions

Inch to Millimeter

Inches (in)Millimeters (mm)Deep Hole Drilling Context
0.001 (0.001 in)0.0254Typical dial indicator resolution
0.0050.127Target spindle runout tolerance
0.0100.254Marginal runout — plan repair
0.0150.381Runout requiring immediate repair
0.0200.508Typical guide bushing clearance range
0.03941.01 mm drill diameter
0.0625 (1/16)1.588Small gun drill diameter
0.125 (1/8)3.175Common small drill
0.250 (1/4)6.35Common medium drill
0.375 (3/8)9.525
0.500 (1/2)12.7
0.750 (3/4)19.05
1.025.41 inch drill diameter
2.050.8BTA range
3.076.2BTA range
4.0101.6BTA range
6.0152.4Large BTA
10.0254.0Large BTA
12.0304.8Large trepanning

Conversion formula:

mm = in × 25.4
in = mm / 25.4

Example: A 0.375 in gun drill = 0.375 × 25.4 = 9.525 mm. A 50 mm BTA drill = 50 / 25.4 = 1.969 in.

Common Tolerances in Inches and Millimeters

Tolerance DescriptionInchesMillimeters
Spindle runout (excellent)0.00020.005
Spindle runout (acceptable)0.00040.010
Guide bushing clearance0.0005–0.00100.013–0.025
Bed level (per meter)0.0008 per meter0.02 per meter
Bore tolerance IT7 (25 mm)0.00080.021
Bore tolerance IT8 (25 mm)0.00130.033
Guideway straightness (3 m)0.00040.01
Test bar parallelism (300 mm)0.0004 over 300 mm0.01 over 300 mm

Decimal and Fractional Inch to Millimeter Quick Reference

FractionDecimal (in)mm
1/640.01560.397
1/320.03130.794
3/640.04691.191
1/160.06251.588
5/640.07811.984
3/320.09382.381
7/640.10942.778
1/80.12503.175
9/640.14063.572
5/320.15633.969
3/160.18754.763
7/320.21885.556
1/40.25006.350
5/160.31257.938
3/80.37509.525
7/160.437511.113
1/20.500012.700
9/160.562514.288
5/80.625015.875
3/40.750019.050
7/80.875022.225
11.000025.400

Pressure Unit Conversions

Pressure is the most frequently converted unit in deep hole drilling because coolant system specifications vary by country and manufacturer.

Pressure Conversion Factors

FromToMultiply By
psibar0.06895
psiMPa0.006895
psikPa6.895
psikg/cm²0.07031
barpsi14.504
barMPa0.1
barkPa100
barkg/cm²1.0197
MPapsi145.04
MPabar10
MPakg/cm²10.197
kPapsi0.1450
kPabar0.01

Common Coolant Pressure Ranges

ApplicationpsibarMPa
Flood coolant40–1502.8–10.30.28–1.03
Through-spindle coolant (standard)300–50020.7–34.52.07–3.45
High-pressure through-spindle500–1,00034.5–69.03.45–6.90
Gun drilling (small diameter)1,000–3,00069.0–2076.90–20.7
Gun drilling (4–10 mm)500–1,50034.5–1033.45–10.3
Gun drilling (10–25 mm)300–80020.7–55.22.07–5.52
BTA drilling (standard)500–75034.5–51.73.45–5.17
BTA drilling (high-pressure)750–1,50051.7–1035.17–10.3
Deep hole boring200–50013.8–34.51.38–3.45
Hydraulic system (typical)1,000–3,00069–2076.9–20.7

Conversion example: A BTA machine specification lists coolant pressure at 750 psi. In bar: 750 × 0.06895 = 51.7 bar. In MPa: 750 × 0.006895 = 5.17 MPa.

Flow Rate Conversions

Volume Flow Rate

FromToMultiply By
GPM (US gallons/min)L/min3.7854
GPML/s0.06309
GPMm³/hr0.2271
L/minGPM0.2642
L/minL/s0.01667
L/minm³/hr0.06
m³/hrGPM4.403
m³/hrL/min16.667

Common Coolant Flow Ranges

ApplicationGPML/minm³/hr
Small gun drilling (1–6 mm)1–53.8–18.90.23–1.14
Gun drilling (6–25 mm)5–2018.9–75.71.14–4.54
Small BTA (20–40 mm)40–90151–3419.1–20.5
Medium BTA (40–80 mm)90–185341–70020.5–42.0
Large BTA (80–150 mm)185–300700–1,13642.0–68.1
Extra-large BTA (150–250 mm)300–4001,136–1,51468.1–90.9

Conversion example: A BTA-60 machine requires 300 GPM coolant flow. In L/min: 300 × 3.7854 = 1,136 L/min. In m³/hr: 300 × 0.2271 = 68.1 m³/hr.

Force and Torque Conversions

Force

FromToMultiply By
lbf (pound-force)N4.4482
lbfkgf0.4536
Nlbf0.2248
Nkgf0.1020
kgflbf2.2046
kgfN9.8067
kNlbf224.8
kNkgf102.0
klbf (kip)kN4.448

Torque

FromToMultiply By
lbf·ftN·m1.3558
lbf·ftkgf·m0.1383
lbf·inN·m0.1130
N·mlbf·ft0.7376
N·mlbf·in8.851
N·mkgf·m0.1020
kgf·mlbf·ft7.233
kgf·mN·m9.807

Typical Spindle Torque Ranges

Machine TypeTypical TorqueContext
Small gun drilling spindle5–20 N·m (3.7–14.8 lbf·ft)< 10 mm diameter
Medium gun drilling spindle20–80 N·m (14.8–59 lbf·ft)10–25 mm diameter
BTA drilling spindle (50 mm)200–500 N·m (148–369 lbf·ft)Medium BTA
BTA drilling spindle (100 mm)500–2,000 N·m (369–1,475 lbf·ft)Large BTA
Large BTA / trepanning2,000–10,000 N·m (1,475–7,375 lbf·ft)> 150 mm diameter

Conversion example: A BTA spindle rated at 1,500 N·m. In lbf·ft: 1,500 × 0.7376 = 1,106 lbf·ft. Anchor bolt torque of 700 N·m = 700 × 0.7376 = 516 lbf·ft.

Temperature Conversions

Conversion Formulas

°F = (°C × 9/5) + 32
°C = (°F − 32) × 5/9
K = °C + 273.15

Temperature Reference Table

°C°FDeep Hole Drilling Context
032Freezing point
1050Coolant chiller supply temperature
2068Typical shop ambient temperature
2577Coolant tank target temperature
3086Warm coolant, acceptable
3595Coolant approaching upper limit
40104Spindle housing maximum acceptable rise above ambient
45113Coolant — chiller needed
50122Coolant — investigate
55131Coolant — stop and investigate
60140Spindle housing alarm temperature
70158Coolant — system damage risk
100212Water boiling point

Conversion example: A coolant system maintains 25°C. In °F: (25 × 9/5) + 32 = 77°F. A spindle housing measures 120°F. In °C: (120 − 32) × 5/9 = 49°C — marginal condition.

Cutting Speed Conversions

Surface Speed (Vc)

FromToMultiply By
SFMm/min0.3048
m/minSFM3.2808

Common Cutting Speed Ranges

ApplicationSFMm/min
Gun drilling — low-carbon steel525–655160–200
Gun drilling — alloy steel (annealed)330–395100–120
Gun drilling — stainless steel165–33050–100
Gun drilling — cast iron260–39580–120
Gun drilling — aluminum525–720160–220
Gun drilling — titanium100–16530–50
Gun drilling — high-temp alloys65–16520–50
BTA drilling — low-carbon steel395–655120–200
BTA drilling — alloy steel230–42570–130
BTA drilling — stainless steel100–23030–70
BTA drilling — cast iron260–46080–140
BTA drilling — aluminum490–720150–220

Conversion example: A cutting speed specification of 600 SFM for gun drilling carbon steel. In m/min: 600 × 0.3048 = 183 m/min.

RPM Calculation Summary

Metric: RPM = (Vc × 1000) / (π × Dmm)
Imperial: RPM = (SFM × 3.82) / Din

Where D is drill diameter.

Quick RPM Reference (at 100 m/min / 328 SFM)

Drill DiameterRPM at 100 m/minRPM at 328 SFM
5 mm (0.197 in)6,3666,366
10 mm (0.394 in)3,1833,183
20 mm (0.787 in)1,5921,592
50 mm (1.97 in)637637
100 mm (3.94 in)318318
200 mm (7.87 in)159159

Note: RPM is independent of unit system — the same RPM results from both metric and imperial formulas when the correct diameter is used.

Feed Rate Conversions

Feed per Revolution

FromToMultiply By
IPR (in/rev)mm/rev25.4
mm/revIPR0.03937

Feed Rate (Linear)

FromToMultiply By
IPM (in/min)mm/min25.4
mm/minIPM0.03937

Common Feed Ranges

Applicationmm/revIPR
Gun drilling (small, < 6 mm)0.02–0.080.0008–0.0031
Gun drilling (medium, 6–25 mm)0.04–0.160.0016–0.0063
Gun drilling (large, > 25 mm)0.08–0.280.0031–0.0110
BTA drilling (30–50 mm)0.06–0.160.0024–0.0063
BTA drilling (50–120 mm)0.08–0.250.0031–0.0098
BTA drilling (120–300 mm)0.12–0.350.0047–0.0138

Conversion example: A BTA drilling feed of 0.012 IPR. In mm/rev: 0.012 × 25.4 = 0.305 mm/rev. A gun drilling feed of 0.10 mm/rev. In IPR: 0.10 × 0.03937 = 0.0039 IPR.

Penetration Rate (Feed Rate × RPM)

FromToMultiply By
IPMmm/min25.4
mm/minIPM0.03937

Common penetration rates in deep hole drilling:

Applicationmm/minIPM
Gun drilling — steel (10 mm)200–4007.9–15.7
Gun drilling — aluminum (10 mm)300–60011.8–23.6
BTA drilling — steel (50 mm)50–802.0–3.1
BTA drilling — steel (100 mm)30–601.2–2.4

Hardness Conversion

Approximate Hardness Equivalents

HRCHB (Brinell)HV (Vickers)Material Context
20230240Low-carbon steel, annealed
25255270Medium-carbon steel, normalized
30285300Medium-carbon steel, Q&T
35330345Alloy steel, Q&T
40375390Alloy steel, hardened
45425440Tool steel, hardened
50480500High-hardness tool steel
55545570Hardened tool steel
60615640Maximum for most drilling

Material Hardness and Cutting Speed Adjustment

Material ConditionHardness (HB)Speed Factor
Soft/annealed< 1501.2
Normalized150–2501.0
Q&T (medium)250–3500.8
Q&T (hard)350–4500.6
Hardened> 4500.4

Hardness Conversion Formulas

HB ≈ 2 × HRC + 60  (for HRC 20–40, approximate)
HRC ≈ (HB − 60) / 2  (for HB 200–500, approximate)
HV ≈ HB × 1.05  (approximate for steels)
HB ≈ HV × 0.95  (approximate for steels)

Important: These are approximate conversions. For specification-critical hardness values, use a published standard (ISO 18265, ASTM E140) rather than simplified formulas.

Surface Finish Conversion

Ra Conversion (Roughness Average)

μm (Ra)μin (Ra)Deep Hole Drilling Context
0.14Precision burnished bore
0.28Skived and burnished
0.416Fine BTA drilling with reaming
0.832Good BTA drilling
1.663Standard deep hole drilling
3.2125Rough drilling, acceptable for many applications
6.3250Very rough, secondary operation needed

Conversion formula:

μin Ra = μm Ra × 39.37
μm Ra = μin Ra / 39.37

Typical Ra Values by Drilling Method

MethodTypical Ra (μm)Typical Ra (μin)
Gun drilling0.8–3.232–125
BTA drilling1.6–6.363–250
Deep hole boring1.6–6.363–250
Trepanning3.2–12.5125–500
Skiving (finish pass)0.4–1.616–63
Roller burnishing0.1–0.44–16
Honing0.2–0.88–32

Conversion example: A print specification of 63 μin Ra maximum. In μm: 63 / 39.37 = 1.6 μm Ra. This is achievable with standard BTA drilling.

Common Formulas Summarized

Cutting Data Formulas

ParameterImperial FormulaMetric Formula
Spindle speed (RPM)RPM = (SFM × 3.82) / DinRPM = (Vc × 1000) / (π × Dmm)
Feed rate (linear)IPM = IPR × RPMmm/min = mm/rev × RPM
Material removal rateMRR = (D × IPR × SFM × 12) / π (in³/min)MRR = (D × f × Vc × 1000) / 4 (mm³/min)
Cutting powerHP = (MRR × K) / 396,000kW = (MRR × Kc) / 60 × 10⁶
Machining timeT = L / (IPM × RPM) (min)T = L / (f × RPM) (min)

Where K = specific cutting force (psi), Kc = specific cutting force (N/mm²).

Hydraulic Formulas

ParameterImperial FormulaMetric Formula
Pump powerHP = (psi × GPM) / 1714kW = (bar × L/min) / 600
Flow velocityV = (0.321 × GPM) / A (ft/s)V = (16.67 × L/min) / A (m/s)
Pressure drop (pipe)ΔP = f × (L/D) × (ρ × V²) / (2 × gc)ΔP = f × (L/D) × (ρ × V²) / 2

Alignment and Geometry Formulas

ParameterFormula
Straightness deviationmm/m = measured deviation (mm) / measurement length (m)
Taper (per side)Taper angle = atan((Dlarge − Dsmall) / (2 × L))
RoundnessDeviation from true circle = max radius − min radius
ConcentricityOffset between two diameters = √(Δx² + Δy²)

Power and Force Approximations

ParameterRule of Thumb
Thrust force (gun drilling)50–150 N per mm of diameter (steel)
Thrust force (BTA drilling)100–300 N per mm of diameter (steel)
Torque (gun drilling)0.5–2 N·m per mm of diameter (steel)
Torque (BTA drilling)2–8 N·m per mm of diameter (steel)
Specific cutting force (steel)2,000–3,000 N/mm²
Specific cutting force (aluminum)700–1,000 N/mm²
Pump heat to coolant25–35% of input motor power

Common Conversion Constants

QuantityConversion
1 inch25.4 mm exactly
1 foot0.3048 m exactly
1 pound (mass)0.4536 kg
1 US gallon3.7854 L
1 gallon (UK)4.5461 L
1 HP0.7457 kW
1 kW1.341 HP
1 psi0.06895 bar
1 N·m0.7376 lbf·ft
π (pi)3.14159

Summary Table

ConversionFactorExample
in → mm× 25.40.5 in = 12.7 mm
psi → bar× 0.06895750 psi = 51.7 bar
psi → MPa× 0.0068951,000 psi = 6.90 MPa
GPM → L/min× 3.7854100 GPM = 379 L/min
SFM → m/min× 0.3048500 SFM = 152 m/min
IPR → mm/rev× 25.40.010 IPR = 0.254 mm/rev
HRC → HB (approx)× 2 + 6030 HRC ≈ 120 HB

FAQ

How do I convert coolant pressure from PSI to bar for a deep hole drilling specification?

Multiply PSI by 0.06895 to get bar. For example, 750 PSI × 0.06895 = 51.7 bar. For quick mental conversion, divide PSI by 14.5 to get bar (750 / 14.5 ≈ 51.7 bar). Conversely, multiply bar by 14.5 to get PSI (50 bar × 14.5 = 725 PSI). Common coolant pressures in deep hole drilling: 500 PSI ≈ 34.5 bar, 1,000 PSI ≈ 69 bar, 2,000 PSI ≈ 138 bar.

What is the conversion between GPM and L/min for coolant flow?

Multiply GPM by 3.7854 to get L/min. For example, 300 GPM × 3.7854 = 1,136 L/min. For quick estimation, multiply GPM by 3.8 (300 GPM × 3.8 = 1,140 L/min, close enough for specification work). Conversely, divide L/min by 3.7854 to get GPM.

How do I convert inches to millimeters for drill diameters?

Multiply inches by 25.4 to get millimeters. This is an exact conversion (1 inch = 25.4 mm by international agreement). Common drill sizes: 0.5 in = 12.7 mm, 1.0 in = 25.4 mm, 3.0 in = 76.2 mm. For fractions, convert to decimal first: 3/8 in = 0.375 in × 25.4 = 9.525 mm.

What is the conversion between SFM and m/min for cutting speeds?

Multiply SFM by 0.3048 to get m/min. For example, 600 SFM × 0.3048 = 183 m/min. For quick mental conversion, divide SFM by 3.28 (600 / 3.28 ≈ 183 m/min). Conversely, multiply m/min by 3.28 to get SFM (180 m/min × 3.28 ≈ 590 SFM).

How do I convert between IPR and mm/rev for feed rates?

Multiply IPR (inches per revolution) by 25.4 to get mm/rev. For example, 0.005 IPR × 25.4 = 0.127 mm/rev. Conversely, divide mm/rev by 25.4 to get IPR (0.10 mm/rev ÷ 25.4 = 0.00394 IPR). Common deep hole drilling feeds: 0.004 IPR ≈ 0.10 mm/rev, 0.008 IPR ≈ 0.20 mm/rev, 0.012 IPR ≈ 0.30 mm/rev.

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