An electric winch is being used to help construct your facility. The winch operates at 71% efficiency with an input voltage of 120 volts [V]. When the winch lifts an object to a height of 7 meters [m] in 25 seconds [s], a current of 21 amperes [A] is required. What is the approximate weight of the object the winch lifted in units of newtons [N]? Click the icon to view the table of common derived units in the Sl system. The weight is N. (Round your answer to a whole number.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Transcription for Educational Website**

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**Question List**

- Question 3
- Question 4
- Question 5
- Question 6 (Highlighted)

**Question 6 Details:**

"An electric winch is being used to help construct your facility. The winch operates at 71% efficiency with an input voltage of 120 volts [V]. When the winch lifts an object to a height of 7 meters [m] in 25 seconds [s], a current of 21 amperes [A] is required. What is the approximate weight of the object the winch lifted in units of newtons [N]?

Click the icon to view the table of common derived units in the SI system.

The weight is ____ N. (Round your answer to a whole number.)"

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*This educational content includes a mathematical problem that integrates concepts in physics and electrical engineering, focusing on efficiency, energy consumption, and force.*
Transcribed Image Text:**Transcription for Educational Website** --- **Question List** - Question 3 - Question 4 - Question 5 - Question 6 (Highlighted) **Question 6 Details:** "An electric winch is being used to help construct your facility. The winch operates at 71% efficiency with an input voltage of 120 volts [V]. When the winch lifts an object to a height of 7 meters [m] in 25 seconds [s], a current of 21 amperes [A] is required. What is the approximate weight of the object the winch lifted in units of newtons [N]? Click the icon to view the table of common derived units in the SI system. The weight is ____ N. (Round your answer to a whole number.)" --- *This educational content includes a mathematical problem that integrates concepts in physics and electrical engineering, focusing on efficiency, energy consumption, and force.*
Certainly! Below is the transcription and explanation of the content from the image intended for an educational website.

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### Educational Resource: Unit Conversion and SI Units

#### Unit Conversion Table

1. **Energy**
   - 1 cal = 4.186 J
   - 1 Btu = 1055 J

2. **Area**
   - 1 acre = 43560 ft²
   - 1 hectare = 10000 m²

3. **Volume**
   - 1 L = 1.1 qt
   - 1 m³ = 35.3 ft³

4. **Force**
   - 1 N = 0.225 lb
   - 1 lb = 4.448 N

5. **Pressure**
   - 1 atm = 101.3 kPa
   - 1 psi = 6895 Pa

6. **Power**
   - 1 hp = 746 W
   - 1 W = 1 J/s

7. **Dynamic Viscosity**
   - 1 P = 0.1 Pa·s
   - 1 cP = 0.001 Pa·s

#### Fundamental Dimensions and Base SI Units

- **Length:** Meter (m)
- **Mass:** Kilogram (kg)
- **Time:** Second (s)
- **Electric Current:** Ampere (A)
- **Temperature:** Kelvin (K)
- **Amount of Substance:** Mole (mol)
- **Luminous Intensity:** Candela (cd)

#### SI Prefixes

- **For Units Greater Than One:**
  - kilo (k): 10³
  - mega (M): 10⁶
  - giga (G): 10⁹
  - tera (T): 10¹²

- **For Units Less Than One:**
  - deci (d): 10⁻¹
  - centi (c): 10⁻²
  - milli (m): 10⁻³
  - micro (μ): 10⁻⁶
  - nano (n): 10⁻⁹

#### Commonly Derived Named Units in the SI System

- **Voltage (V):** 1 V = 1 W/A
- **Frequency (Hz):** 1 Hz = 1/s
- **Pressure (Pa):** 1
Transcribed Image Text:Certainly! Below is the transcription and explanation of the content from the image intended for an educational website. --- ### Educational Resource: Unit Conversion and SI Units #### Unit Conversion Table 1. **Energy** - 1 cal = 4.186 J - 1 Btu = 1055 J 2. **Area** - 1 acre = 43560 ft² - 1 hectare = 10000 m² 3. **Volume** - 1 L = 1.1 qt - 1 m³ = 35.3 ft³ 4. **Force** - 1 N = 0.225 lb - 1 lb = 4.448 N 5. **Pressure** - 1 atm = 101.3 kPa - 1 psi = 6895 Pa 6. **Power** - 1 hp = 746 W - 1 W = 1 J/s 7. **Dynamic Viscosity** - 1 P = 0.1 Pa·s - 1 cP = 0.001 Pa·s #### Fundamental Dimensions and Base SI Units - **Length:** Meter (m) - **Mass:** Kilogram (kg) - **Time:** Second (s) - **Electric Current:** Ampere (A) - **Temperature:** Kelvin (K) - **Amount of Substance:** Mole (mol) - **Luminous Intensity:** Candela (cd) #### SI Prefixes - **For Units Greater Than One:** - kilo (k): 10³ - mega (M): 10⁶ - giga (G): 10⁹ - tera (T): 10¹² - **For Units Less Than One:** - deci (d): 10⁻¹ - centi (c): 10⁻² - milli (m): 10⁻³ - micro (μ): 10⁻⁶ - nano (n): 10⁻⁹ #### Commonly Derived Named Units in the SI System - **Voltage (V):** 1 V = 1 W/A - **Frequency (Hz):** 1 Hz = 1/s - **Pressure (Pa):** 1
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