A fluid has a weight of 85 lbf and a volume of 11.7 ft3. What is the fluid's density? Round to 3 significant figures.

To find the density of the fluid, we can use the formula:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

First, we need to convert the weight in pounds-force (lbf) to mass in slugs using the relation:

\[
\text{Mass (slugs)} = \frac{\text{Weight (lbf)}}{g} 
\]

Where \(g = 32.174 \, \text{ft/s}^2\) is the acceleration due to gravity. Then, we can calculate the density in \(\text{slugs/ft}^3\).

### Step 1: Convert Weight to Mass
\[
\text{Mass} = \frac{85 \, \text{lbf}}{32.174 \, \text{ft/s}^2} \approx 2.641 \, \text{slugs}
\]

### Step 2: Calculate Density
\[
\text{Density} = \frac{2.641 \, \text{slugs}}{11.7 \, \text{ft}^3} \approx 0.226 \, \text{slugs/ft}^3
\]

So, the fluid's density is approximately \(0.226 \, \text{slugs/ft}^3\), rounded to three significant figures.

Would you like more details on any step?

### Related Questions:
1. How do you convert between slugs and kilograms?
2. What is the relationship between mass, weight, and gravity?
3. How does fluid density affect buoyancy?
4. Can density change with temperature?
5. How would you convert slugs/ft³ to kg/m³?

**Tip**: Always double-check units when performing conversions to avoid errors in calculations.

A fluid has a weight of 85 lbf and a volume of 11.7 ft³. What is the fluid's density? Round to 3 significant figures.

Learn how to calculate the density of a fluid with a weight of 85 lbf and a volume of 11.7 ft³. This step-by-step guide includes important concepts such as density, unit conversions between lbf and slugs, and mass-volume relationships. Suitable for high school students (Grades 9-12).

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation