hile taking a shower, you notice that the shower head is made up of 36 small round openings, each with a radius of 2.00 mm. You also determine that it takes 2.00 s for the shower to completely fi 1.00-liter container you hold in the water stream. The water for the shower is pumped by a pump that is 5.60 m below the level of the shower head. The pump maintains an absolute pressure of 50 atm. Use g = 10 m/s?, and assume that 1 atmosphere is 1.0 × 105 Pa. (a) At what speed does the water emerge from the shower head? 1.105 m/s (b) What is the speed of the water in the pipe connected to the pump? m/s (c) What is the cross-sectional area of the pipe connected to the pump?
hile taking a shower, you notice that the shower head is made up of 36 small round openings, each with a radius of 2.00 mm. You also determine that it takes 2.00 s for the shower to completely fi 1.00-liter container you hold in the water stream. The water for the shower is pumped by a pump that is 5.60 m below the level of the shower head. The pump maintains an absolute pressure of 50 atm. Use g = 10 m/s?, and assume that 1 atmosphere is 1.0 × 105 Pa. (a) At what speed does the water emerge from the shower head? 1.105 m/s (b) What is the speed of the water in the pipe connected to the pump? m/s (c) What is the cross-sectional area of the pipe connected to the pump?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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
Transcribed Image Text:The image presents a physics problem related to fluid dynamics, specifically involving a shower setup. Here is the transcription fit for an educational setting:
---
**Shower Head Fluid Dynamics Problem**
While taking a shower, you observe that the shower head is composed of 36 small round openings, each with a radius of 2.00 mm. It takes 2.00 seconds for the shower to completely fill a 1.00-liter container you hold in the water stream. The water for the shower is delivered by a pump situated 5.60 meters below the level of the shower head, maintaining an absolute pressure of 1.50 atm. For calculations, assume \( g = 10 \, \text{m/s}^2 \) and that 1 atmosphere is \( 1.0 \times 10^5 \, \text{Pa} \).
**Questions:**
(a) At what speed does the water emerge from the shower head?
- **Answer:** 1.105 m/s
(b) What is the speed of the water in the pipe connected to the pump?
- **Answer:** ________ m/s
(c) What is the cross-sectional area of the pipe connected to the pump?
- **Answer:** ________ m²
---
This scenario is useful for understanding concepts such as flow rate, fluid speed, and pressure differences in a practical context. To engage further, students might explore related questions such as the impact of varying the pump pressure or the number and size of openings on the water speed.
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