Homework Soursea plugged sink with the dimensions 25 ft X 2 ft X 15 ft is b
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.
Solution
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
