Question

The official rules of the National Football League require footballs to be inflated to a gaugepressure (pressure above atmospheric pressure) between 12.5 and 13.5 psi. In 2015 the NewEngland Patriots were accused of deliberately under-inflating footballs to gain an advantageduring the playoffs. If the football used during the game was filled to 13.5 psi at 70oF,what temperature would be required to deflate the football to 10.5 psi? Assume the volumeremains roughly constant.

Answer 1

Explanation:

Formula to calculate the temperature is as follows.

    $\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$

                  $T_{2} = P_{2} \times \frac{T_{1}}{P_{1}}$

It is given that,

    $T_{2} = 70^{o}F \times (\frac{10.5 psi}{12.5 psi})$

                 $T_{2} = 58.8^{o}F$

                   T = $(58.8 - 32) \times \frac{5}{9}$

                     = $14.88 ^{o}C$

Therefore, we can conclude that a temperature of $14.88 ^{o}C$  would be required to deflate the football to 10.5 psi.

Answer 2

Answer:

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Explanation: