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(c) At what speed v, must the plunger be moved to achieve the desired range? m/s

(c) At what speed v, must the plunger be moved to achieve the desired range? m/s

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question C

In a water pistol, a piston drives water through a larger tube of area \(A_1\) into a smaller tube of area \(A_2\) as shown in the figure. The radius of the large tube is \(1.40 \, \text{cm}\) and that of the small tube is \(1.10 \, \text{mm}\). The smaller tube is \(3.00 \, \text{cm}\) above the larger tube. ### Diagram Explanation: The diagram depicts a water pistol with labeled components. - The large tube with area \(A_1\) is shown on the left side. - The small tube with area \(A_2\) is shown on the right side. - Water is pushed by a piston with a force \(F\). - The velocity of water in the large tube is \(v_1\). - The velocity of water exiting the nozzle is \(v_2\). ### Exercises: **(a)** If the pistol is fired horizontally at a height of \(1.60 \, \text{m}\), determine the time interval required for water to travel from the nozzle to the ground. Neglect air resistance and assume atmospheric pressure is \(1.00 \, \text{atm}\). - **Answer: \(0.58 \, \text{s}\)** **(b)** If the desired range of the stream is \(7.50 \, \text{m}\), with what speed \(v_2\) must the stream leave the nozzle? - **Answer: \(12.9 \, \text{m/s}\)** **(c)** At what speed \(v_1\) must the plunger be moved to achieve the desired range? - **Answer: Unanswered**
Transcribed Image Text:In a water pistol, a piston drives water through a larger tube of area \(A_1\) into a smaller tube of area \(A_2\) as shown in the figure. The radius of the large tube is \(1.40 \, \text{cm}\) and that of the small tube is \(1.10 \, \text{mm}\). The smaller tube is \(3.00 \, \text{cm}\) above the larger tube. ### Diagram Explanation: The diagram depicts a water pistol with labeled components. - The large tube with area \(A_1\) is shown on the left side. - The small tube with area \(A_2\) is shown on the right side. - Water is pushed by a piston with a force \(F\). - The velocity of water in the large tube is \(v_1\). - The velocity of water exiting the nozzle is \(v_2\). ### Exercises: **(a)** If the pistol is fired horizontally at a height of \(1.60 \, \text{m}\), determine the time interval required for water to travel from the nozzle to the ground. Neglect air resistance and assume atmospheric pressure is \(1.00 \, \text{atm}\). - **Answer: \(0.58 \, \text{s}\)** **(b)** If the desired range of the stream is \(7.50 \, \text{m}\), with what speed \(v_2\) must the stream leave the nozzle? - **Answer: \(12.9 \, \text{m/s}\)** **(c)** At what speed \(v_1\) must the plunger be moved to achieve the desired range? - **Answer: Unanswered**
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