Final answer:
The time it takes to pressurize the tire is approximately 1.25 seconds.
Step-by-step explanation:
To calculate the time it takes to pressurize the tire, we can use the equation:
Time = Volume / Flow Rate
Given that the tire's inflated volume is 0.040 ft3 and the inflow to the pump is 0.6 cfm, we can convert the units to match:
0.6 cfm x (1 ft3 / 7.48 gal) x (1 gal / 3.785 L) x (1 L / 1000 cm3) = 0.032 ft3/s
Now we can calculate the time:
Time = 0.040 ft3 / 0.032 ft3/s = 1.25 s
Therefore, it will take approximately 1.25 seconds to pressurize the tire.