Mach Value64: Calculate Jet Speed after 41s at 12ms2

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In summary, the problem is asking for the Mach value of a jet that accelerates from rest at a rate of 12 meters per second squared for 41 seconds at a temperature of 12 degrees. The equation for Mach number is given as M=v/vs, and the speed of sound equation is needed to complete the problem.
  • #1
soulja101
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Homework Statement


If the temperature is 12 degrees and a jet accelerates at rest at 12ms2 for 41s, then what is the Mach value for the jet at the end of 41 seconds


Homework Equations


mach#=vovs
speed of sound equation

The Attempt at a Solution



v=12degrees
a=12ms2
v=339,08ms
m#=vo/vs
 
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  • #2
soulja101 said:

Homework Statement


If the temperature is 12 degrees and a jet accelerates at rest at 12ms2 for 41s, then what is the Mach value for the jet at the end of 41 seconds


Homework Equations


mach#=vovs
speed of sound equation

The Attempt at a Solution



v=12degrees
a=12ms2
v=339,08ms
m#=vo/vs

Your statement of the problem has numerous flaws. I assume the jet accelerates from rest, and that you meant "t=12degrees" above. Careful also to use acceleration units of meters per second^2, not m-s^2. Finally your value for v is incorrect.

What is the equation giving velocity in terms of acceleration and time? Once you have that you'll need the speed of sound at 12 degrees to finish the problem...
 
  • #3
= 339,08/12= 28,26

Based on the given information, the Mach value for the jet at the end of 41 seconds is approximately 28.26. This value can be calculated using the formula for Mach number, which is the ratio of the jet's velocity (v) to the speed of sound (vs). In this case, the jet's velocity can be calculated by using the given acceleration (a) and time (t) using the equation v=at. The speed of sound at a temperature of 12 degrees can be found using the speed of sound equation. By plugging in the values and solving for the Mach number, we get a value of 28.26, indicating that the jet is traveling at a speed 28.26 times the speed of sound. However, it's important to note that this is a theoretical calculation and may not accurately reflect the actual speed of the jet. Other factors such as air resistance and engine efficiency may affect the jet's speed.
 

Related to Mach Value64: Calculate Jet Speed after 41s at 12ms2

What is Mach Value64?

Mach Value64 is a calculation used in aviation to determine the speed of a jet in relation to the speed of sound. It is a unitless value that represents the ratio of the jet's speed to the speed of sound.

How is Mach Value64 calculated?

The formula for calculating Mach Value64 is: Mach Value64 = (Jet Speed / Speed of Sound) * 100. The result is then rounded to the nearest whole number.

Why is Mach Value64 important?

Mach Value64 is important in aviation because it helps pilots and engineers understand the behavior of a jet in relation to the speed of sound. It is also used to determine the safe operating speed of a jet to avoid damaging the aircraft.

What is the speed of sound?

The speed of sound is approximately 343 meters per second at sea level and at a temperature of 20 degrees Celsius. However, the speed of sound can vary depending on altitude and temperature.

How is Mach Value64 used in real-world scenarios?

Mach Value64 is used in various real-world scenarios in aviation, such as determining the maximum safe speed for a jet, calculating the speed of an aircraft in relation to the speed of sound, and understanding the effects of breaking the sound barrier.

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