Solve for Length of Stroke for Air Entering Tyre

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Homework Help Overview

The problem involves determining the length of stroke for a bicycle pump as it forces air into a tyre against a specified pressure. The context includes the pump's stroke length and the pressures involved, with atmospheric pressure considered as part of the setup.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between pressure and stroke length, questioning when the pressure in the pump equals that in the tyre. Some explore the implications of stroke speed on air compression and temperature.

Discussion Status

The discussion is ongoing, with participants raising questions about the problem's assumptions and the physics involved. Some guidance has been offered regarding the relationship between pressure and stroke length, but no consensus has been reached on specific approaches or solutions.

Contextual Notes

Participants note the importance of considering temperature effects during compression and the need for additional information, such as cylinder area and ambient temperature, to fully analyze the problem.

spirally
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an urgent help needed

A bicycle pump which has a stroke of 20cm is used to force air into a tyre against a pressure
of 4bar.what length of stroke will be swept through before air begins to enter the tyre when the piston is pushed (a)slowly (b)quickly. Assume atmospheric pressure to be 1 bar
 
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This is clearly a homework question. Please note that you must show your work before we can help you.
 
pls help

i have practically no idea at all that is why i came to the forum for assistance.
how can i show what i have done when i have no ideas at all?
 
Air (or any fluid) flows from high pressure to low pressure. When does the pressure in the bore of the pump just equal to the pressure in the tire?
 


remember - every great scientist had humble beginings
 


spirally said:
i have practically no idea at all that is why i came to the forum for assistance.
how can i show what i have done when i have no ideas at all?

Sorry I can't help you, I can't remeber anything on this subject.

But a word of advice: If you don't know how to do it (no idea) say so, or you'll always get this reply.
 


spirally said:
A bicycle pump which has a stroke of 20cm is used to force air into a tyre against a pressure
of 4bar.what length of stroke will be swept through before air begins to enter the tyre when the piston is pushed (a)slowly (b)quickly. Assume atmospheric pressure to be 1 bar

In the case of gasses volume and pressure are inversely related. Meaning at 50% stroke ie. 10 cm the cylinder pressure will attain 2 bar, at 75% stroke it will be 4 bar, @ 15 cm. Rate has nothing to do with pressure, but will have an effect on the temerature of the compressed air, higher rate of compression means less time to cool off to ambient. Pressures vs stroke are assuming the temperature has returned to the same temp as the initial. Exact values for dynamic points must also include the energy input required to compress the air and are 0 Kelvin referenced. 4 Bar in your problem will in a real airpump be attained before the 15 cm mark due to compression heating of the air, but without cylinder area and ambient temp. of the uncompressed air heat transfer rates cannot be calculated.
 

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