Hey math wizards
If something has an acceleration from a standing start at 11.7 m/s2 when does it reach the speed of sound? When does it hit Mach 2, Mach 3, so on and so on.
How do you turn acceleration into speeds?
How do you turn acceleration into speeds?
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Here ya go:
https://cnx.org/contents/e9xChzzR@1.34:6iuyPE_O@8/Motion-Equations-for-Constant-Acceleration-in-One-Dimension
BTW I have no clue how to solve this I am a dumbass[B)]
Something changes the link, sorry0 -
Velocity = Acceleration x Time
In your case Acceleration = 11.7 m/s2 and Mach 1 is roughly 330 m/s which gives a time of about 28 seconds. For each Mach after that, add another 28 seconds.0 -
Just shy of 30 seconds...
https://www.smartconversion.com/unit_calculation/Acceleration_calculator.aspx0 -
is that the same amount of time it takes 84taco to take that last bite of taco till he is sitting on the toilet letting it back out???? 0 -
quote:Originally posted by bpost
If something has an acceleration from a standing start at 11.7 m/s2 when does it reach the speed of sound? When does it hit Mach 2, Mach 3, so on and so on.
How do you turn acceleration into speeds?
By applying it to mass.
Don
At Sea Level, Mach 1 is appx. 340 m/s.
So you are at 29 Seconds to hit Mach 1
58 Seconds to hit Mach 2
87 Seconds to hit Mach 3.
You have travelled:
4,900 meters when you hit Mach 1
19,700 meters when you hit Mach 2, and
44, 300 meters when you hit Mach 3.
OTOH, reaching Mach 3 at sea level is very difficult, and there has never been a jet plane produced that could do it.
As altitude increases, the speed of sound decreases with the density of the air, complicating the calculations significantly.0 -
quote:Originally posted by bpost
If something has an acceleration from a standing start at 11.7 m/s2 when does it reach the speed of sound? When does it hit Mach 2, Mach 3, so on and so on.
How do you turn acceleration into speeds?
It depends on the medium.0 -
quote:Originally posted by GreatGuns
Standing start? From the ground on earth or in zero gravity? Is there a drag coefficient in this formulation? What is the subject object if I may be so bold to ask, is it spherical and/or at least balanced (ie: gyro)? [8D]
All irrelevant given that the OP states an acceleration of 11.7 m/s2 and asking for the velocity of the object, not forces that are acting on it.0 -
quote:Originally posted by GreatGuns
Standing start? From the ground on earth or in zero gravity? Is there a drag coefficient in this formulation? What is the subject object if I may be so bold to ask, is it spherical and/or at least balanced (ie: gyro)? [8D]
Those parameters would be relevant to know how to achieve the stated acceleration, but since the acceleration is given velocity is easily determined without them.0 -
Reminds me of my Physics final when the problem was: If a train left a station at 9:00 AM. traveling at 60 mph and on the same track another train left a station 1000 miles away, traveling at 80 mph in opposing direction on the same track, what time would they meet and at what mile marker[?] 0 -
quote:Originally posted by asop
Reminds me of my Physics final when the problem was: If a train left a station at 9:00 AM. traveling at 60 mph and on the same track another train left a station 1000 miles away, traveling at 80 mph in opposing direction on the same track, what time would they meet and at what mile marker[?]
The mile marker with several hundreds tons of scrap metal and torn up track would be my guess.0 -
quote:Originally posted by Mr. Perfect
quote:Originally posted by bpost
If something has an acceleration from a standing start at 11.7 m/s2 when does it reach the speed of sound? When does it hit Mach 2, Mach 3, so on and so on.
How do you turn acceleration into speeds?
It depends on the medium.
That is the acceleration rate of the Apollo rockets. They burned 15 tons of kero/lox per second in the five engines of the first stage. I was just curious how fast that craft got to mach 1 and above. I could not find these figures in my Google searches for the answer.0 -
When in doubt ... pick ?B? 0 -
quote:Originally posted by bpost
quote:Originally posted by Mr. Perfect
quote:Originally posted by bpost
If something has an acceleration from a standing start at 11.7 m/s2 when does it reach the speed of sound? When does it hit Mach 2, Mach 3, so on and so on.
How do you turn acceleration into speeds?
It depends on the medium.
That is the acceleration rate of the Apollo rockets. They burned 15 tons of kero/lox per second in the five engines of the first stage. I was just curious how fast that craft got to mach 1 and above. I could not find these figures in my Google searches for the answer.
Well, mach number is temperature dependent, so at altitude the Mach 1 velocity will be different than at sea level. The air temperature at approximately 4,900 meters approaches something like -17 degrees C or thereabouts. That would imply a Mach 1 speed of about 320 m/s. Time to reach that speed at that acceleration will also impact how high you are and the temperature of the air at that height and so on.So, you need to iterate.0 -
quote:Originally posted by bpost
quote:Originally posted by asop
Reminds me of my Physics final when the problem was: If a train left a station at 9:00 AM. traveling at 60 mph and on the same track another train left a station 1000 miles away, traveling at 80 mph in opposing direction on the same track, what time would they meet and at what mile marker[?]
The mile marker with several hundreds tons of scrap metal and torn up track would be my guess.
My buddy was a helicopter pilot for the navy. During his training the instructor talked to the class about the importance of the tail rotor in keeping the aircraft under control and in the air. My buddy raised his hand and asked if the helicopter could be flown if the tail rotor fails. The instructor said, with a perfectly straight face, "Yes, you will be able to fly to the scene of the crash."0 -
quote:Originally posted by bpost
quote:Originally posted by Mr. Perfect
quote:Originally posted by bpost
If something has an acceleration from a standing start at 11.7 m/s2 when does it reach the speed of sound? When does it hit Mach 2, Mach 3, so on and so on.
How do you turn acceleration into speeds?
It depends on the medium.
That is the acceleration rate of the Apollo rockets. They burned 15 tons of kero/lox per second in the five engines of the first stage. I was just curious how fast that craft got to mach 1 and above. I could not find these figures in my Google searches for the answer.
IIRC, the first stage engines of the Saturn V were not throttled, so as the propellent was burned off, the acceleration rate of the rocket increased. Additionally, the engine performed differently at different outside pressure, increasing in thrust as the outside pressure reduced.
This combination will result in non-constant acceleration, resulting in the inability to calculate the time in which the Saturn 5 reaches Mach 1 in any simple way. Air resistance and acceleration of gravity reduced as the rocket gained altitude. Thrust increased as the air density dropped. Actual acceleration of the craft increased as the total mass was reduced. One could do the calculation if one assumed all inputs changed linearly, but that is an assumption that I would think is not correct.
Additionally, the 11.7 m/s2 is based upon the total mass of the Saturn 5 at liftoff compared to the total thrust of the 5 F1 Engines. It is not the acceleration of the rocket at lift-off as the countering acceleration of gravity is not figured.
In reality, the Saturn 5 reached 2760 m/s second after 150 seconds of first stage firing.
This works out to an average acceleration of 18.4 m/s2, just under 2G, though the initial portion was approximately 2 m/s2 (acceleration due to the thrust - acceleration of gravity) and the final portions were approaching if not exceeding 3g (29.4 m/s2) as the fuel mass and air resistance was reduced.
In short, the 11.7 m/s2 figure is essentially meaningless absent knowing the conditions of its application.
By citing the Saturn 5, the math is totally different.
Don0 -
couldn't it just be said, they got there in a hurry.... 0 -
quote:Originally posted by GreatGuns
quote:Originally posted by Mr. Perfect
quote:Originally posted by bpost
quote:Originally posted by Mr. Perfect
quote:Originally posted by bpost
If something has an acceleration from a standing start at 11.7 m/s2 when does it reach the speed of sound? When does it hit Mach 2, Mach 3, so on and so on.
How do you turn acceleration into speeds?
It depends on the medium.
That is the acceleration rate of the Apollo rockets. They burned 15 tons of kero/lox per second in the five engines of the first stage. I was just curious how fast that craft got to mach 1 and above. I could not find these figures in my Google searches for the answer.
Well, mach number is temperature dependent, so at altitude the Mach 1 velocity will be different than at sea level. The air temperature at approximately 4,900 meters approaches something like -17 degrees C or thereabouts. That would imply a Mach 1 speed of about 320 m/s. Time to reach that speed at that acceleration will also impact how high you are and the temperature of the air at that height and so on.So, you need to iterate.
I thought this was "easily determined" with the original info given. [;)]
It was. Then, with new information, it became a more difficult problem.0 -
taco bell has multiples of warp speed 0
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