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

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SUMMARY

The discussion focuses on calculating the Mach value of a jet that accelerates from rest at an acceleration of 12 m/s² for 41 seconds at a temperature of 12 degrees Celsius. The correct formula for velocity, derived from the equation \( v = a \times t \), yields a final velocity of 492 m/s. The speed of sound at 12 degrees Celsius is approximately 339.08 m/s, leading to a Mach number calculated using the formula \( \text{Mach} = \frac{v}{v_s} \), resulting in a Mach value of approximately 1.45.

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  • Understanding of basic physics concepts, specifically kinematics.
  • Familiarity with the formula for calculating velocity from acceleration and time.
  • Knowledge of the speed of sound in air at various temperatures.
  • Ability to calculate the Mach number using velocity and speed of sound.
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  • Research the formula for calculating velocity from acceleration and time in detail.
  • Learn how to determine the speed of sound at different temperatures.
  • Study the concept of Mach number and its significance in aerodynamics.
  • Explore real-world applications of Mach number in aviation and aerospace engineering.
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Aerospace engineers, physics students, and anyone interested in understanding jet propulsion and aerodynamics will benefit from this discussion.

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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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...
 

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