1. A storage cylinder with a 3 meter diameter and 4 meters in height is filled with 635,000 N of sand. Complete the following and you must show all of your work to receive full credit. Weight of Sand: Mass of Sand: Volume of Storage Cylinder: Density of Packed Sand: Specific Weight of Sand: 494,000 N 12 MASS volume Joleme * FR kg m³ kg/m³ N/m³ 1.25 +100 x(2.5) 2. Water is flowing at 50,000 cm³/min through a 2.5 cm diameter pipe. Assume the density is 1000 kg/m³ What is the velocity in m/s? Inain 0.025 n cm³ 3
1. A storage cylinder with a 3 meter diameter and 4 meters in height is filled with 635,000 N of sand. Complete the following and you must show all of your work to receive full credit. Weight of Sand: Mass of Sand: Volume of Storage Cylinder: Density of Packed Sand: Specific Weight of Sand: 494,000 N 12 MASS volume Joleme * FR kg m³ kg/m³ N/m³ 1.25 +100 x(2.5) 2. Water is flowing at 50,000 cm³/min through a 2.5 cm diameter pipe. Assume the density is 1000 kg/m³ What is the velocity in m/s? Inain 0.025 n cm³ 3
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Transcription and Explanation for Educational Website**
**Problem 1: Storage Cylinder with Sand**
A storage cylinder with a 3-meter diameter and 4 meters in height is filled with 35,000 N of sand. Complete the following to receive full credit. You must show all of your work.
- **Weight of Sand:** 35,000 N
- **Mass of Sand:** 3,500 kg (calculated using the formula: mass = weight/g, where g = 9.8 m/s²)
- **Volume of Storage Cylinder:**
\[
V = \pi r^2 h
\]
Given diameter = 3 m, radius \( r = \frac{3}{2} = 1.5 \) m, and height \( h = 4 \) m:
\[
V = \pi (1.5)^2 \times 4 = 28.27 \, \text{m}^3
\]
- **Density of Packed Sand:**
\[
\rho = \frac{\text{mass}}{\text{volume}} = \frac{3500 \, \text{kg}}{28.27 \, \text{m}^3} \approx 123.8 \, \text{kg/m}^3
\]
- **Specific Weight of Sand:**
Calculated using the formula: specific weight = weight/volume
\[
\gamma = \frac{35000 \, \text{N}}{28.27 \, \text{m}^3} = 1237 \, \text{N/m}^3
\]
**Problem 2: Water Flow in a Pipe**
Water is flowing at 50,000 cm\(^3\)/min through a 2.5 cm diameter pipe. Assume the density is 1000 kg/m\(^3\).
- **What is the velocity in m/s?**
First, convert the flow rate from cm\(^3\)/min to m\(^3\)/s:
\[
50,000 \, \text{cm}^3/\text{min} = 0.000833 \, \text{m}^3/\text{s}
\]
Calculate the cross-sectional area of the pipe:
Given diameter = 2.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1954805f-b750-4584-bfb2-9d42ac1b9e1b%2Fe954ed33-1aa9-4d7e-9cff-1fef0a8654bf%2Fcf2kuv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription and Explanation for Educational Website**
**Problem 1: Storage Cylinder with Sand**
A storage cylinder with a 3-meter diameter and 4 meters in height is filled with 35,000 N of sand. Complete the following to receive full credit. You must show all of your work.
- **Weight of Sand:** 35,000 N
- **Mass of Sand:** 3,500 kg (calculated using the formula: mass = weight/g, where g = 9.8 m/s²)
- **Volume of Storage Cylinder:**
\[
V = \pi r^2 h
\]
Given diameter = 3 m, radius \( r = \frac{3}{2} = 1.5 \) m, and height \( h = 4 \) m:
\[
V = \pi (1.5)^2 \times 4 = 28.27 \, \text{m}^3
\]
- **Density of Packed Sand:**
\[
\rho = \frac{\text{mass}}{\text{volume}} = \frac{3500 \, \text{kg}}{28.27 \, \text{m}^3} \approx 123.8 \, \text{kg/m}^3
\]
- **Specific Weight of Sand:**
Calculated using the formula: specific weight = weight/volume
\[
\gamma = \frac{35000 \, \text{N}}{28.27 \, \text{m}^3} = 1237 \, \text{N/m}^3
\]
**Problem 2: Water Flow in a Pipe**
Water is flowing at 50,000 cm\(^3\)/min through a 2.5 cm diameter pipe. Assume the density is 1000 kg/m\(^3\).
- **What is the velocity in m/s?**
First, convert the flow rate from cm\(^3\)/min to m\(^3\)/s:
\[
50,000 \, \text{cm}^3/\text{min} = 0.000833 \, \text{m}^3/\text{s}
\]
Calculate the cross-sectional area of the pipe:
Given diameter = 2.5
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