Inch per Second to Mach Converter
Speed · unit-converter
Convert Inch per Second to Mach with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations bridge through meters per second with fixed definitions (knot, international mile, Mach 1 = ISA sea level, Beaufort WMO bands at 10 m, vacuum c, plus linear SI and imperial rate units like km/s, fpm, ips, cm/s, and mm/s).
About Inch per Second
Inches per second is used for small mechanical motion, machining feed rates, and vibration specs.
About Mach
Mach number is the ratio of speed to the local speed of sound. Here Mach 1 is fixed at 340.29 m/s (ISA sea level, ~15 °C) for consistent numeric conversion.
How to convert inches per second to mach (isa sea level)
1 inch per second equals 0.00007464221693261629 mach in this tool (via m/s):
1 ips = (0.0254 m/s ÷ 340.29 m/s) mach = 0.00007464221693261629 mach
Each inch per second carries 0.0254 m/s and each mach 340.29 m/s, so one ips equals 0.0254 ÷ 340.29 mach.
Let v(ips) be the numeric speed in Inch per Second (ips), and v(mach) in Mach (mach). Then:
v(mach) = v(ips) × (0.0254 / 340.29)
Equivalently, divide by how many ips fit into one mach (m/s per mach divided by m/s per ips):
v(mach) = v(ips) ÷ 13397.244094488191
Examples
Example #1: Convert 10 ips to mach
10 ips = 10 ips × (0.0254/340.29) mach = 0.0007464222 mach
10 ips = 10 ips ÷ 13397.244094488191 = 0.0007464222 mach
Example #2: Convert 50 ips to mach
50 ips = 50 ips × (0.0254/340.29) mach = 0.0037321108 mach
50 ips = 50 ips ÷ 13397.244094488191 = 0.0037321108 mach
Summary
To convert Inch per Second to Mach, multiply the value in ips by (0.0254 m/s per ips) / (340.29 m/s per mach). Equivalently: value_mach = value_ips × (0.0254 / 340.29). Numerically, 1 ips equals 0.00007464221693261629 mach.
Relationship context
You are converting between Inch per Second and Mach. Mach is treated as multiples of Mach 1 = 340.29 m/s (ISA reference). Actual Mach depends on altitude and temperature; this tool uses one reference sound speed for reproducible numbers.
Conversion tables
| Inch per Second (ips) | Mach (mach) |
|---|---|
| 0.1 | 0.0000074642 |
| 1 | 0.0000746422 |
| 2 | 0.0001492844 |
| 3 | 0.0002239267 |
| 4 | 0.0002985689 |
| 5 | 0.0003732111 |
| 6 | 0.0004478533 |
| 7 | 0.0005224955 |
| 8 | 0.0005971377 |
| 9 | 0.00067178 |
| Inch per Second (ips) | Mach (mach) |
|---|---|
| 10 | 0.0007464222 |
| 20 | 0.0014928443 |
| 30 | 0.0022392665 |
| 40 | 0.0029856887 |
| 50 | 0.0037321108 |
| 60 | 0.004478533 |
| 70 | 0.0052249552 |
| 80 | 0.0059713774 |
| 90 | 0.0067177995 |
| 100 | 0.0074642217 |