R-1201 -3.4 N=-x (0.22 m) 10 N=x (22 kg)(0.02 kg) (0.091 m)2 Introduction to Engineering x has units of x has units of because of Rule # because of Rule # Fall 2022

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Course Title: Introduction to Engineering**
**Term: Fall 2022**

---

### Problem 1:

Given the equation:

\[
-3.4 \, \text{N} = -x \cdot (0.22 \, \text{m})
\]

#### Question:

\(x\) has units of _______________ because of Rule # _____.

---

### Problem 2:

Given the equation:

\[
10 \, \text{N} = x \left(\frac{(22 \, \text{kg})(0.02 \, \text{kg})}{(0.091 \, \text{m})^2}\right)
\]

#### Question:

\(x\) has units of _______________ because of Rule # _____.

---

Note: Determine the units of \(x\) in each case using unit analysis and reference the appropriate rule that justifies the units.
Transcribed Image Text:**Course Title: Introduction to Engineering** **Term: Fall 2022** --- ### Problem 1: Given the equation: \[ -3.4 \, \text{N} = -x \cdot (0.22 \, \text{m}) \] #### Question: \(x\) has units of _______________ because of Rule # _____. --- ### Problem 2: Given the equation: \[ 10 \, \text{N} = x \left(\frac{(22 \, \text{kg})(0.02 \, \text{kg})}{(0.091 \, \text{m})^2}\right) \] #### Question: \(x\) has units of _______________ because of Rule # _____. --- Note: Determine the units of \(x\) in each case using unit analysis and reference the appropriate rule that justifies the units.
Determine the units of the variable \( x \) in each of the following equations, and specify which rule you used to determine this. Do not solve for the numeric value of \( x \). Show your work beneath the question, or on a separate sheet of paper.

### Example:
\[ 315 \, \text{feet} = \frac{1}{2} \left(32 \, \frac{\text{feet}}{\text{seconds}^2}\right)x^2 \]

\( x \) has units of **seconds** because of Rule #**1**.

### Rules:
- **Rule #1**: Both sides of the equal sign must have the same units.
- **Rule #2**: Values that are added or subtracted must have the same units.
- **Rule #3**: Argument of a trig function must be an angle.
- **Rule #4**: Argument of an inverse trig function must have no units.
- **Rule #5**: Exponents must have no units.
Transcribed Image Text:Determine the units of the variable \( x \) in each of the following equations, and specify which rule you used to determine this. Do not solve for the numeric value of \( x \). Show your work beneath the question, or on a separate sheet of paper. ### Example: \[ 315 \, \text{feet} = \frac{1}{2} \left(32 \, \frac{\text{feet}}{\text{seconds}^2}\right)x^2 \] \( x \) has units of **seconds** because of Rule #**1**. ### Rules: - **Rule #1**: Both sides of the equal sign must have the same units. - **Rule #2**: Values that are added or subtracted must have the same units. - **Rule #3**: Argument of a trig function must be an angle. - **Rule #4**: Argument of an inverse trig function must have no units. - **Rule #5**: Exponents must have no units.
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