a plugged sink with the dimensions 2.5 ft X 2 ft X 1.5 ft is being filled with w

Question

a plugged sink with the dimensions 2.5 ft X 2 ft X 1.5 ft is being filled with water from a faucet with an inner diameter of 1.5 inches. if it takes 30 seconds to fill the sink to its rim, estimate the volumetric flow of water coming out of the faucet. what is the average velocity of water coming out of the faucet? Express your answer in ft/s to the nearest tenth. a plugged sink with the dimensions 2.5 ft X 2 ft X 1.5 ft is being filled with water from a faucet with an inner diameter of 1.5 inches. if it takes 30 seconds to fill the sink to its rim, estimate the volumetric flow of water coming out of the faucet. what is the average velocity of water coming out of the faucet? Express your answer in ft/s to the nearest tenth. a plugged sink with the dimensions 2.5 ft X 2 ft X 1.5 ft is being filled with water from a faucet with an inner diameter of 1.5 inches. if it takes 30 seconds to fill the sink to its rim, estimate the volumetric flow of water coming out of the faucet. what is the average velocity of water coming out of the faucet? Express your answer in ft/s to the nearest tenth.

Explanation / Answer

Given that

Volume of the sink (V) =2.5ft*2ft*1.5ft =7.5ft3

The time taken to fill the sink is (t) =30s

The volume floe rate of water cmoing out of the sink is (Q) =Volume/time =7.5ft3/30s =0.25ft3/s

The average velocity of water coming out of the faucet is given by

Q =Av

Then v =Q/A =0.25ft3/s/pir2 =0.25ft3/s/3.14*(1.5inches)2 =0.25ft*12inches*12inches/7.065inches2*s

We know that 1foot =12inches

then average velocity is given by v =0.25ft*12inches*12inches/7.065inches2*s

=36ft*inches2/7.065inches2*s

=10.757ft/s

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