Formula One Relating to the Combined Gas Law

AI Thread Summary
The discussion focuses on applying the combined gas law to Formula One racing, specifically in relation to tire performance. Key points include estimating tire temperatures during a race and calculating the resulting pressure based on their volume. Additionally, the importance of determining the cold inflation pressure needed to achieve optimal running pressure is highlighted. These calculations can enhance understanding of tire dynamics in high-performance racing. This investigation can provide valuable insights into the effects of temperature and pressure on tire efficiency.
heggs954
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I'm doing an investigation, for my GCSE coursework, on how the combined gas law can be applied to formula one racing. For example: the tyres.

Can anyone give me any ideas on what to put into my investigation.

Thanks in advance.
 
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Estimate how hot the tires get during a race, if you also estimate their volume you can work out what pressure they reach. And what pressurethey wouldhave to be inflated to while cold to reach a certain running pressure.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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