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How to convert speed of light to mach (c to Ma)To convert from the light speed to Mach number (c to Ma) in a specific medium, you need to know the speed of sound (v) in that medium. The formula to calculate the Mach number for the speed of light, where the speed of sound is being measured in dry air at room temperature is below.
Step-by-step instructions: convert light speed to mach1. Determine the Speed of Sound (v) for the Medium of Interest: You need to find the speed of sound in the specific medium you are interested in. The speed of sound varies depending on factors such as temperature, pressure, and the composition of the medium. For example, at room temperature (around 20°C or 68°F), the speed of sound in dry air is approximately 343m/s. Make sure you know the speed of sound in the particular medium you are dealing with.2. Plug in the Values: Substitute the known values into the formula M = (3 × 108 m/s) ÷ v. Replace v with the speed of sound in the specific medium.3. Calculate the equivalent Mach Number for the Speed of Light value in question: Perform the calculation to find the Mach number. For example, if the speed of sound in the medium is 343m/s (which is the speed of sound in dry air at room temperature), the Mach number for an object moving at the speed of light in this medium would be:M = (3 × 108 m/s) ÷ 343 m/s ≈ 874,317.91So, the object moving at the speed of light in dry air at room temperature would have a Mach number of approximately 874,318.This calculation assumes the object is traveling at the speed of light in the given medium. In reality, objects with mass cannot achieve the speed of light according to our current understanding of physics.
Let's take a look at an example. The step-by-step process to convert 0.5 speed of light to mach is:
- Understand the conversion formula: Ma = c × (3 × 108 m/s) ÷ (343 m/s) = c × 874049.47120007
- Substitute the required value. In this case we substitute 0.5 for c so the formula becomes: Ma = 0.5 × (3 × 108 m/s) ÷ (343 m/s) = c × 874049.47120007
- Calculate the result using the provided values. In our example the result is: 0.5 × (3 × 108 m/s) ÷ (343 m/s) = 0.5 × 874049.47120007 = 437024.735600035 Ma
In summary, 0.5 speed of light is equal to 437024.735600035 mach.
Converting mach to speed of light
In order to convert the other way around i.e. mach to speed of light, you would use the following formula: c = Ma × 0.0000011441. To convert mach to speed of light first substitute the mach value into the above formula, and then execute the calculation. If we wanted to calculate 1 mach in speed of light we follow these steps:
c = Ma × 0.0000011441
c = 1 × 0.0000011441
c = 0.0000011441
Or in other words, 1 mach is equal to 0.0000011441 speed of light.
Conversion Unit Definitions
What is a Speed Of Light?
What is a Mach?
Speed Of Light To Mach Conversion Table
Below is a lookup table showing common speed of light to mach conversion values.
|Speed Of Light (c)||Mach|
|0.1 c||87404.947120007 Ma|
|0.2 c||174809.894240014 Ma|
|0.3 c||262214.841360021 Ma|
|0.4 c||349619.788480028 Ma|
|0.5 c||437024.735600035 Ma|
|0.6 c||524429.682720042 Ma|
|0.7 c||611834.629840049 Ma|
|0.8 c||699239.576960056 Ma|
|0.9 c||786644.524080063 Ma|
|1 c||874049.47120007 Ma|
Other Common Speed Of Light Conversions
Below is a table of common conversions from speed of light to other speed units.
|1 speed of light in feet per second||983571056.58907 ft/s|
|1 speed of light in kilometers per second||299792.543559857 km/s|
|1 speed of light in kilometers per hour||1079252768.55316 km/h|
|1 speed of light in knots||582750582.750583 kn, kt|
|1 speed of light in meters per second||299800000 m/s|
|1 speed of light in miles per second||186282 mi/s|
|1 speed of light in miles per minute||11176943.8230733 mi/m|
|1 speed of light in miles per hour||670600858.369099 mph|
|1 speed of light in speed of sound||874030 c|