Solve for Length of Stroke for Air Entering Tyre

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The discussion revolves around calculating the stroke length needed for air to enter a tyre when using a bicycle pump against a pressure of 4 bar. It highlights the principle that air flows from high to low pressure, and the pressure in the pump must equal the tyre pressure for air to enter. A member notes that at 50% stroke (10 cm), the cylinder pressure reaches 2 bar, and at 75% stroke (15 cm), it reaches 4 bar. The rate of compression affects the temperature of the compressed air, with faster compression resulting in less cooling time. The conversation emphasizes the need for specific parameters, such as cylinder area and ambient temperature, to accurately calculate the compression dynamics.
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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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