It takes 2.0 minutes to fill a gas tank with 40 liters of gasoline.If the pump nozzle is 1.0 cm in radius,what is the average speed of the gasoline as it leaves the nozzle? (1 000 liters = one cubic meter)
A)0.27 m/s
B)1.1 m/s
C)11 m/s
D)64 m/s

Question

Quizplus · Accepted Answer

To find the average speed, use the formula: speed = volume flow rate / cross-sectional area. First, convert 40 liters to cubic meters: 40 liters = 0.040 m³. The time is 2 minutes = 120 seconds. The volume flow rate is 0.040 m³ / 120 s = 0.000333 m³/s. The cross-sectional area of the nozzle is πr² = π(0.01 m)² = 3.14 x 10^-4 m². The speed is 0.000333 m³/s / 3.14 x 10^-4 m² ≈ 1.1 m/s.

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