Is there a terminal velocity upwards?

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Discussion Overview

The discussion explores the concept of terminal velocity in the context of upward motion, questioning whether it is possible to experience a terminal velocity when an object is moving upwards against gravitational forces and drag. Participants consider various scenarios, including balloons, rockets, and other mechanical systems, to illustrate their points.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that a helium balloon experiences a form of terminal velocity as it ascends, where the buoyant force and drag reach equilibrium.
  • Others argue that a rocket with continuous thrust could also reach a state where weight and drag balance the thrust, although this is not typically desired in space flight.
  • A participant mentions that the concept of terminal velocity is often associated with falling objects, but similar principles apply to upward motion if the net upward acceleration is positive.
  • One participant introduces the idea of a DC motor reaching a maximum rotational speed, where the net force becomes zero, drawing a parallel to the terminal velocity concept.
  • Another participant discusses the throttling of rockets during launch to manage aerodynamic drag and structural integrity, suggesting that this is done to avoid structural problems rather than purely for efficiency.
  • Some participants clarify that the term "terminal velocity" is typically reserved for falling objects, but they acknowledge that it can apply to other scenarios involving constant speed against opposing forces.

Areas of Agreement / Disagreement

Participants express multiple competing views on the applicability of terminal velocity to upward motion, and the discussion remains unresolved regarding the nuances of the concept and its implications in different contexts.

Contextual Notes

There are limitations in the definitions and assumptions regarding terminal velocity, particularly in how it is traditionally applied to falling objects versus upward motion. The discussion also touches on the complexities of forces acting on rockets and mechanical systems, which may not be straightforward.

Storm Savage
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We are all familiar with the concept of terminal velocity due to air friction in the direction towards the earth, but what about the other direction? Given enough applied force, is it possible to experience a terminal velocity upwards?
 
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Let's say you take a toy balloon, fill it with helium, and let it go. It will accelerate for a while due to the buoyant force, but soon enough it will reach a constant rate of ascent. That's its terminal velocity equivalent. I.e. there is an approximately constant force acting upwards, that is counteracted by drag until they add up to zero.

In the horizontal direction, the maximum speed of an aeroplane is a similar concept.
 
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Storm Savage said:
Given enough applied force, is it possible to experience a terminal velocity upwards?
Do you mean a rocket with continuously applied thrust? It is possible for weight and drag balance the thrust, but that's not what you usually want in space flight. Also if you escape towards infinity, then you also approach a constant final velocity.
 
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A.T. said:
Do you mean a rocket with continuously applied thrust? It is possible for weight and drag balance the thrust, but that's not what you usually want in space flight. Also if you escape towards infinity, then you also approach a constant final velocity.
That's what I was imagining, that a rocket with enough thrust would be inefficient, although given the distance to space I assume this wouldn't be a concern.
 
Storm Savage said:
That's what I was imagining, that a rocket with enough thrust would be inefficient, although given the distance to space I assume this wouldn't be a concern.
If you you want to go into orbit you need to gain speed, so raising at const speed would be very inefficient. See also:
https://en.wikipedia.org/wiki/Gravity_drag
 
Storm Savage said:
We are all familiar with the concept of terminal velocity due to air friction in the direction towards the earth, but what about the other direction? Given enough applied force, is it possible to experience a terminal velocity upwards?
A falling object experiences acceleration downwards due to gravity. Resistance will impose a terminal velocity. If the vertical acceleration upwards is positive (i.e. the net acceleration of engine minus gravity) then exactly the same effect of terminal velocity effect can will apply if the journey is long enough and the air resistance doesn't get less due to practicalities such as a thinning atmosphere.
 
F=ma

Anything not accelerating has a net force of zero acting on it. Terminal velocity of a falling object is just an example situation where the drag force equals weight.

There are many other examples and some have already been mentioned.

Here is a rotary example...

Consider a typical DC permanent magnet motor, as found in many toys. When connected to a battery it will accelerate until it reaches some maximum rpm. At that rpm the net force on the armature is zero. If it wasn't it would accelerate.
 
CWatters said:
Consider a typical DC permanent magnet motor, as found in many toys. When connected to a battery it will accelerate until it reaches some maximum rpm
Unfortunately, the situation is not as straightforward for an electric motor. The rotating armature induces a 'back emf' which means the current and hence the torque drops with increasing rotational speed. That's in addition to the limit that would be imposed by resistive forces.
 
Storm Savage said:
That's what I was imagining, that a rocket with enough thrust would be inefficient, although given the distance to space I assume this wouldn't be a concern.
As I understand it some rockets deliberately limit there initial velocity to keep aerodynamic drag forces within limits. They then accelerate once high enough that the air density has reduced. I might be wrong but I thinks that what they are doing when you hear/heard "go with throttle up" during a space shuttle launch.
 
  • #10
sophiecentaur said:
Unfortunately, the situation is not as straightforward for an electric motor. The rotating armature induces a 'back emf' which means the current and hence the torque drops with increasing rotational speed. That's in addition to the limit that would be imposed by resistive forces.
+1

That's why I said net force on the armature.
 
  • #11
CWatters said:
+1

That's why I said net force on the armature.
That's very true but would the questioner get the message from such a condensed / sophisticated explanation? I know you know and you know I know you know :smile:.
 
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  • #12
sophiecentaur said:
That's very true but would the questioner get the message from such a condensed / sophisticated explanation? I know you know and you know I know you know :smile:.
I've always found the more subtle case is the automobile with constant rolling resistance and fixed horsepower that reaches terminal speed. Not complicated but sometimes befuddling
 
  • #13
CWatters said:
As I understand it some rockets deliberately limit there initial velocity to keep aerodynamic drag forces within limits.
Is this done to increase efficiency, or rather to avoid structural problems?
 
  • #14
A.T. said:
Is this done to increase efficiency, or rather to avoid structural problems?

Structural but I had to Google it...

https://aerospace.honeywell.com/en/blogs/2016/april/flight--we-are-go-for-throttle-up

"During every launch of NASA’s Space Shuttle, an important radio call transmitted from Mission Control Houston - “go for throttle up”, noting that it was safe for the Space Shuttle Main Engines to be throttled back up to full power. The throttling of these engines was a critical feature that kept the maximum dynamic pressure on the vehicle within acceptable limits."

More detailed explanation here..

https://www.whitewingcrow.com/2012/06/20/go-at-throttle-up/
 
  • #15
CWatters said:
Structural but I had to Google it...

https://aerospace.honeywell.com/en/blogs/2016/april/flight--we-are-go-for-throttle-up

"During every launch of NASA’s Space Shuttle, an important radio call transmitted from Mission Control Houston - “go for throttle up”, noting that it was safe for the Space Shuttle Main Engines to be throttled back up to full power. The throttling of these engines was a critical feature that kept the maximum dynamic pressure on the vehicle within acceptable limits."

More detailed explanation here..

https://www.whitewingcrow.com/2012/06/20/go-at-throttle-up/
Thanks, for looking it up. I assumed it would be structural, because efficiency-wise the reduction in drag shouldn't offset the longer acting gravity drag for a slower ascent.
 
  • #16
CWatters said:
Aka "max q":
During a normal Space Shuttle launch, for example, max q occurred at an altitude of approximately 11 km (35,000 ft).[1] The three Space Shuttle Main Engines were throttled back to about 60-70% of their rated thrust (depending on payload) as the dynamic pressure approached max q;[2] combined with the propellant perforation design of the solid rocket boosters, which reduced the thrust at max q by one third after 50 seconds of burn, the total stresses on the vehicle were kept to a safe level.
https://en.m.wikipedia.org/wiki/Max_q
 
  • #17
Storm Savage said:
We are all familiar with the concept of terminal velocity due to air friction in the direction towards the earth, but what about the other direction? Given enough applied force, is it possible to experience a terminal velocity upwards?
Strictly speaking, the term "terminal velocity" refers only to falling through an atmosphere in gravity. However, this is only a special case of basically every constant speed motion against variable/speed dependent opposing forces. So there are lots of similar examples.
 
  • #18
What's called terminal velocity is is a special case in which it's assumed that there's no other downward force than gravity to overcome air resistance. Please imagine a person falling at terminal velocity shooting an arrow from a bow toward the ground below. The downward velocity of the arrow will exceed the terminal velocity of the archer -- there's a force other than gravity in the mix -- just as there is when an object travels upward. In order to determine terminal velocity, downward, upward or in whichever direction, you have to take into account each force in each direction.
 
  • #19
Storm Savage said:
We are all familiar with the concept of terminal velocity due to air friction in the direction towards the earth, but what about the other direction? Given enough applied force, is it possible to experience a terminal velocity upwards?

Air bubbles in a glass of fizzy drink.

Zz.
 
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  • #20
Storm Savage said:
We are all familiar with the concept of terminal velocity due to air friction in the direction towards the earth, but what about the other direction? Given enough applied force, is it possible to experience a terminal velocity upwards?

yes. terminal velocity is when a driving force is in equilibrium with the drag force. the faster an abject goes in the atmosphere, the more air resistance it experiences. if the rocket engine can only reach a certain thrust, the air resistance may push back at the same thrust preventing acceleration. no acceleration means constant velocity.
 

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