Feet per Second to First Cosmic Velocity (ft/s → v1)
Formula
1 ft/s = 0.00003858227848101266 v1Conversion Table
| ft/s | v1 |
|---|---|
| 0 | 0 |
| 1.0000 | 0.000038582 |
| 2.0000 | 0.000077165 |
| 3.0000 | 0.00011575 |
| 4.0000 | 0.00015433 |
| 5.0000 | 0.00019291 |
| 6.0000 | 0.00023149 |
| 7.0000 | 0.00027008 |
| 8.0000 | 0.00030866 |
| 9.0000 | 0.00034724 |
| 10.000 | 0.00038582 |
| 11.000 | 0.00042441 |
| 12.000 | 0.00046299 |
| 13.000 | 0.00050157 |
| 14.000 | 0.00054015 |
| 15.000 | 0.00057873 |
| 16.000 | 0.00061732 |
| 17.000 | 0.00065590 |
| 18.000 | 0.00069448 |
| 19.000 | 0.00073306 |
| ft/s | v1 |
|---|---|
| 20.000 | 0.00077165 |
| 21.000 | 0.00081023 |
| 22.000 | 0.00084881 |
| 23.000 | 0.00088739 |
| 24.000 | 0.00092597 |
| 25.000 | 0.00096456 |
| 26.000 | 0.0010031 |
| 27.000 | 0.0010417 |
| 28.000 | 0.0010803 |
| 29.000 | 0.0011189 |
| 30.000 | 0.0011575 |
| 31.000 | 0.0011961 |
| 32.000 | 0.0012346 |
| 33.000 | 0.0012732 |
| 34.000 | 0.0013118 |
| 35.000 | 0.0013504 |
| 36.000 | 0.0013890 |
| 37.000 | 0.0014275 |
| 38.000 | 0.0014661 |
| 39.000 | 0.0015047 |
| ft/s | v1 |
|---|---|
| 40.000 | 0.0015433 |
| 41.000 | 0.0015819 |
| 42.000 | 0.0016205 |
| 43.000 | 0.0016590 |
| 44.000 | 0.0016976 |
| 45.000 | 0.0017362 |
| 46.000 | 0.0017748 |
| 47.000 | 0.0018134 |
| 48.000 | 0.0018519 |
| 49.000 | 0.0018905 |
| 50.000 | 0.0019291 |
| 51.000 | 0.0019677 |
| 52.000 | 0.0020063 |
| 53.000 | 0.0020449 |
| 54.000 | 0.0020834 |
| 55.000 | 0.0021220 |
| 56.000 | 0.0021606 |
| 57.000 | 0.0021992 |
| 58.000 | 0.0022378 |
| 59.000 | 0.0022764 |
| ft/s | v1 |
|---|---|
| 60.000 | 0.0023149 |
| 61.000 | 0.0023535 |
| 62.000 | 0.0023921 |
| 63.000 | 0.0024307 |
| 64.000 | 0.0024693 |
| 65.000 | 0.0025078 |
| 66.000 | 0.0025464 |
| 67.000 | 0.0025850 |
| 68.000 | 0.0026236 |
| 69.000 | 0.0026622 |
| 70.000 | 0.0027008 |
| 71.000 | 0.0027393 |
| 72.000 | 0.0027779 |
| 73.000 | 0.0028165 |
| 74.000 | 0.0028551 |
| 75.000 | 0.0028937 |
| 76.000 | 0.0029323 |
| 77.000 | 0.0029708 |
| 78.000 | 0.0030094 |
| 79.000 | 0.0030480 |
Feet per Second to First Cosmic Velocity Conversion
Converting Feet per Second (ft/s) to First Cosmic Velocity (v1) is a common speed conversion. 1 ft/s equals 0.000039 v1. For example, 100 ft/s is equal to 0.003858 v1.
Quick Reference Values
1 ft/s = 0.000039 v1. 5 ft/s = 0.000193 v1. 10 ft/s = 0.000386 v1. 25 ft/s = 0.000965 v1. 50 ft/s = 0.001929 v1. 100 ft/s = 0.003858 v1.
What is Feet per Second?
Feet per Second (ft/s) is a unit of speed. Feet-per-second measures speed as feet traveled in one second. It converts to meters per second by multiplying feet by 0.3048. This unit is common in physics, ballistics, and engineering to express rapid velocities [iso-80000]. Feet-per-second became standardized with the development of modern physics and engineering in the late 19th and early 20th centuries. It was adopted for precise, short-interval velocity measurements in the imperial system [nist-si-guide]. Feet-per-second is widely used in the United States for projectile speeds, fluid flow velocities, and mechanical motion. It is less frequent outside imperial system countries, where meters per second is preferred [nist-si-guide].
What is First Cosmic Velocity?
First Cosmic Velocity (v1) is a unit of speed. The first cosmic velocity is the minimum orbital speed required for an object to maintain a stable circular orbit just above a planet's surface, approximately 7.9 km/s for Earth. It is derived from Newtonian mechanics and gravitational parameters, calculated by √(GM/R) where G is the gravitational constant, M the planet mass, and R its radius [nist-cuu]. The concept of cosmic velocities was formulated by Russian scientist Konstantin Tsiolkovsky in the early 20th century when studying orbital mechanics. It formalized escape and orbital speeds as fundamental limits for spacecraft [nist-cuu]. This velocity is critical in aerospace engineering and space mission design globally, used by space agencies such as NASA, ESA, and Roscosmos. It serves as a baseline for launching satellites into low Earth orbit [nist-cuu].
Common Misspellings
People often search for this conversion using these alternate spellings: feet per second, ft per second, feet/sec, fps, first cosmic velocity, cosmic velocity 1st, cosmic velocity one, orbital velocity first, cosmic velocity 1. All of these refer to the Feet per Second to First Cosmic Velocity conversion.