Eleven liters of SAE 30 oil weighs 92 N. Calculate the oil's a. Specific weight b. Density Specific gravity
Eleven liters of SAE 30 oil weighs 92 N. Calculate the oil's a. Specific weight b. Density Specific gravity
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
Related questions
Topic Video
Question
![### Problem Statement:
Eleven liters of SAE 30 oil weighs 92 N. Calculate the oil’s:
a. Specific weight
b. Density
c. Specific gravity
#### Explanation:
- **Specific Weight (γ):**
The specific weight is defined as the weight per unit volume. It can be calculated using the following formula:
\[
\gamma = \frac{W}{V}
\]
where:
- \( \gamma \) is the specific weight (N/m³)
- \( W \) is the weight (N)
- \( V \) is the volume (m³)
- **Density (ρ):**
The density of a substance is defined as its mass per unit volume. It can be calculated using the following formula:
\[
\rho = \frac{m}{V}
\]
where:
- \( \rho \) is the density (kg/m³)
- \( m \) is the mass (kg)
- \( V \) is the volume (m³)
The mass can also be derived from weight using the relationship:
\[
W = mg
\]
where:
- \( g \) is the acceleration due to gravity (approximately 9.81 m/s²)
- **Specific Gravity (SG):**
The specific gravity is the ratio of the density of the substance to the density of water. It is a dimensionless quantity:
\[
SG = \frac{\rho_{\text{oil}}}{\rho_{\text{water}}}
\]
where:
- \( \rho_{\text{oil}} \) is the density of the oil
- \( \rho_{\text{water}} \) is the density of water (approximately 1000 kg/m³ at 4°C)
### Note:
To solve the calculations, you will need to convert the volume from liters to cubic meters (1 liter = 0.001 cubic meters).
### Example Calculation:
1. Convert the volume of oil from liters to cubic meters:
\[
V = 11 \, \text{liters} \times 0.001 \, \frac{\text{m}^3}{\text{liter}} = 0.011 \, \text{m}^3
\]
2. Calculate the specific weight:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2e60b5-531b-408d-ad87-91178dbcae31%2F0a4fbb1a-5f33-4c2c-8f74-043aaf8fe099%2Fgv56s7_processed.gif&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
Eleven liters of SAE 30 oil weighs 92 N. Calculate the oil’s:
a. Specific weight
b. Density
c. Specific gravity
#### Explanation:
- **Specific Weight (γ):**
The specific weight is defined as the weight per unit volume. It can be calculated using the following formula:
\[
\gamma = \frac{W}{V}
\]
where:
- \( \gamma \) is the specific weight (N/m³)
- \( W \) is the weight (N)
- \( V \) is the volume (m³)
- **Density (ρ):**
The density of a substance is defined as its mass per unit volume. It can be calculated using the following formula:
\[
\rho = \frac{m}{V}
\]
where:
- \( \rho \) is the density (kg/m³)
- \( m \) is the mass (kg)
- \( V \) is the volume (m³)
The mass can also be derived from weight using the relationship:
\[
W = mg
\]
where:
- \( g \) is the acceleration due to gravity (approximately 9.81 m/s²)
- **Specific Gravity (SG):**
The specific gravity is the ratio of the density of the substance to the density of water. It is a dimensionless quantity:
\[
SG = \frac{\rho_{\text{oil}}}{\rho_{\text{water}}}
\]
where:
- \( \rho_{\text{oil}} \) is the density of the oil
- \( \rho_{\text{water}} \) is the density of water (approximately 1000 kg/m³ at 4°C)
### Note:
To solve the calculations, you will need to convert the volume from liters to cubic meters (1 liter = 0.001 cubic meters).
### Example Calculation:
1. Convert the volume of oil from liters to cubic meters:
\[
V = 11 \, \text{liters} \times 0.001 \, \frac{\text{m}^3}{\text{liter}} = 0.011 \, \text{m}^3
\]
2. Calculate the specific weight:
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY