While taking a shower, you notice that the shower head is made up of 36 small...

90.2K

Verified Solution

Question

Physics

While taking a shower, you notice that the shower head is madeup of 36 small round openings, each with a radius of 1.4 mm. Youalso determine that it takes 7.0 s for the shower to completelyfill a 1- liter container you hold in the water stream. The waterin your house is pumped by a pump in the basement, 6.2 m below thelevel of the shower head. The pump maintains an absolute pressureof 1.6 atmospheres. Neglect viscosity. Use g = 9.8 m/s/s, and 1atmosphere = 101,300 Pa.
[1 point] (a) What is the total area of the openings in theshower head?
[2 points] (b) At what speed is the water emerging from theholes?
cconnected to the pump (assume it has a constant cross-sectionalarea)?
[2 points] (c) At what speed is the water flowing through thepipe
[2 points] (d) What is the radius of the pipe?
[1 point] (e) If you covered up six of the holes in the showerhead with your thumb, with what speed would you expect the water toemerge from the remaining holes?

Answer & Explanation Solved by verified expert

4.1 Ratings (732 Votes)

an number of small round openings 36r radius of each small round opening 14 mm 14 x103 mTotal area of the openings in the shower head is given asAs n r2 36 314 14 x 1032As 222 x 104 m2bV Volume flow rate volume of container See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member