A garden hose attached with a nozzle is used to fill a 10-gal bucket. The inner diameter of the hose is 2 cm, and it reduces to 0.8 cm at the nozzle exit. If it takes 50 s to fill the bucket with water, determine (a) the volume and mass flow rates of water through the hose, and (b) the average velocity of water at the nozzle exit.

A round pipe of varying diameter carries petroleum from a wellhead to a refinery. At the wellhead the pipe\'s diameter is 58.5 cm and the flow speed of the petroleum is 13.9 m/s. At the refinery the petroleum flows at 6.53 m/s. What is the volume flow (m^3/s) rate of the petroleum along the pipe and what is the pipe\'s diameter (cm) at the refinery?

Air is evacuated from a vacuum chamber and the flow rate is measured. A section of circular plumbing is removed and replaced with a piece having a radius that is half the size of the original. The flow rate is measured again. What is the ratio of the new flow rate to the old flow rate?

(a) If it takes 1.55 min to fill a 23.5 L bucket with water flowing from a garden hose of diameter 2.80 cm, determine the speed at which water is traveling through the hose. (b) If a nozzle with a diameter four-fifths the diameter of the hose is attached to the hose, determine the speed of the water leaving the nozzle.

A water line with an internal radius of 6.89 x 103 m is connected to a shower head that has 12 holes. The speed of the water in the line is 0.982 m/s. (a) What is the volume flow rate in the line? (b) At what speed does the water leave one of the holes (effective hole radius = 3.14 x 104 m) in the head? (a) Number i (b) Number i Units Units

K Solve for the indicated variable. Assume all variables are positive. QV₁ QV₂ T. L T₂ ; for T₁ (Simplify your answer.)

QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.

If it takes 2.15 min to fill a 23.0 L bucket with water flowing from a garden hose of diameter 3.10 cm, determine the speed at which water is traveling through the hose. If a nozzle with a diameter two-fifths the diameter of the hose is attached to the hose, determine the speed of the water leaving the nozzle.

A fish tank has dimensions 42 cm wide by 1.0 m long by 0.80 m high.If the filter should process all the water in the tank once every 3.0 h, what should the flow speed be in the 3.0-cm- diameter input tube for the filter?Express your answer to two significant figures and include the appropriate units.

An ideal incompressible fluid flows through a pipe of diameter 5.9 cm at a speed of 4.0 m/s. What volume of water passes any single location in the pipe over 3.9 s? Give your answer in m³.