Tire pressure is directly proportional to temp on a temp scale where zero degrees is absolute zero. given that temp in degrees celcius and degrees Fahrenheit are related by the formula F=9/5C +32 and absolute zero is -273.15C, by what % does tire pressure decrease when the temp drops from 80F to 40F? express answer in nearest whole #
converting Kelvin to Rankine, absolute zero is -459.67°F
so, if the temperature drops by 40°F from 80°F, that is a
40/(459.67+80) = .0741 = 7.41% drop
That means a corresponding drop in pressure.
I aggre but you made a mistake
To determine the percentage decrease in tire pressure when the temperature drops from 80℉ to 40℉, we need to understand how tire pressure is affected by temperature using the given information.
First, let's calculate the temperature difference between 80℉ and 40℉.
Temperature difference = 80℉ - 40℉ = 40℉
Next, let's convert this temperature difference from Fahrenheit to Celsius. According to the given formula, F = (9/5)C + 32, we can rearrange it to convert Fahrenheit to Celsius:
C = (F - 32) * 5/9
Using this formula, let's convert the temperature difference from Fahrenheit to Celsius:
ΔC = (40 - 32) * 5/9 = 8 * 5/9 = 40/9 ≈ 4.44℃
Now, let's find the percentage decrease in tire pressure by understanding the relationship between tire pressure and temperature.
Given that tire pressure is directly proportional to temperature, we can assume that when the temperature decreases, the tire pressure will also decrease proportionately. However, we don't have a specific formula or information about the exact relationship between tire pressure and temperature, so we will make some assumptions.
Assuming a linear relationship between temperature and tire pressure, we can say that:
Percentage decrease = (Temperature difference / Initial temperature) * 100
Where:
- Temperature difference = 4.44℃ (from the previous calculation)
- Initial temperature = 80℉
Percentage decrease = (4.44℃ / 80℉) * 100
To proceed with the calculation, we need to convert the initial temperature from Fahrenheit to Celsius using the given formula F = (9/5)C + 32:
80℉ = (9/5)C + 32
(9/5)C = 80 - 32
(9/5)C = 48
C = (48 * 5) / 9 ≈ 26.67℃
Now, we can find the percentage decrease:
Percentage decrease = (4.44℃ / 26.67℃) * 100 ≈ 16.65%
Therefore, the tire pressure is estimated to decrease by approximately 16.65% when the temperature drops from 80℉ to 40℉.