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Kilowatts to Decibel-watts Converter

Enter Kilowatts

kW

Decibel-watts

dBW

ResetView CalculationCopy

⇅ Switch toDecibel-watts to Kilowatts Converter

How to use this Kilowatts to Decibel-watts Converter 🤔

Follow these steps to convert given power from the units of Kilowatts to the units of Decibel-watts.

1. Enter the input Kilowatts value in the text field.
2. The calculator converts the given Kilowatts into Decibel-watts in realtime ⌚ using the conversion formula, and displays under the Decibel-watts label. You do not need to click any button. If the input changes, Decibel-watts value is re-calculated, just like that.
3. You may copy the resulting Decibel-watts value using the Copy button.
4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Kilowatts to Decibel-watts?

The formula to convert given power from Kilowatts to Decibel-watts is:

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Kilowatts) × 1e3) × Math.LOG10E

Substitute the given value of power in kilowatts, i.e., Power_(Kilowatts) in the above formula and simplify the right-hand side value. The resulting value is the power in decibel-watts, i.e., Power_{(Decibel-watts)}.

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a luxury electric car's motor generates 250 kilowatts (kW) of power.
Convert this power output from kilowatts to Decibel-watts.

Answer:

Given:

The power in kilowatts is:

Power_(Kilowatts) = 250

Formula:

The formula to convert power from kilowatts to decibel-watts is:

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Kilowatts) × 1e3) × Math.LOG10E

Substitution:

Substitute given weight Power_(Kilowatts) = 250 in the above formula.

Power_{(Decibel-watts)} = 10 × Math.log(250 × 1e3) × Math.LOG10E

Power_{(Decibel-watts)} = 53.9794

Final Answer:

Therefore, 250 kW is equal to 53.9794 dBW.

The power is 53.9794 dBW, in decibel-watts.

2

Consider that a high-end gaming PC setup consumes 1 kilowatt (kW) of power.
Convert this power usage from kilowatts to Decibel-watts.

Answer:

Given:

The power in kilowatts is:

Power_(Kilowatts) = 1

Formula:

The formula to convert power from kilowatts to decibel-watts is:

Power_{(Decibel-watts)} = 10 × Math.log(Power_(Kilowatts) × 1e3) × Math.LOG10E

Substitution:

Substitute given weight Power_(Kilowatts) = 1 in the above formula.

Power_{(Decibel-watts)} = 10 × Math.log(1 × 1e3) × Math.LOG10E

Power_{(Decibel-watts)} = 30

Final Answer:

Therefore, 1 kW is equal to 30 dBW.

The power is 30 dBW, in decibel-watts.

Kilowatts to Decibel-watts Conversion Table

The following table gives some of the most used conversions from Kilowatts to Decibel-watts.

Kilowatts (kW)	Decibel-watts (dBW)
0.01 kW	10 dBW
0.1 kW	20 dBW
1 kW	30 dBW
2 kW	33.0103 dBW
3 kW	34.7712 dBW
4 kW	36.0206 dBW
5 kW	36.9897 dBW
6 kW	37.7815 dBW
7 kW	38.451 dBW
8 kW	39.0309 dBW
9 kW	39.5424 dBW
10 kW	40 dBW
20 kW	43.0103 dBW
50 kW	46.9897 dBW
100 kW	50 dBW
1000 kW	60 dBW

Kilowatts

A kilowatt (kW) is equal to 1,000 watts. It is commonly used to express the power output of engines and the power consumption of electrical devices. For example, household appliances and electric vehicles are often rated in kilowatts.

Decibel-watts

A decibel watt (dBW) is a unit of power level relative to one watt, expressed in decibels. It is commonly used in telecommunications and audio engineering to describe power levels in a logarithmic scale.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Kilowatts to Decibel-watts in Power?

2. Is this tool free or paid?

3. How do I convert Power from Kilowatts to Decibel-watts?

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  "y_slug": "decibel_watt",
  "x": "kW",
  "y": "dBW",
  "x_desc": "Kilowatts",
  "y_desc": "Decibel-watts",
  "category": "Power",
  "symbol": "m",
  "formula": "10*Math.log(x*1e3)*Math.LOG10E",
  "precision": 11,
  "examples": "<div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">1</span>\n        <h3 class=\"question\">Consider that a luxury electric car's motor generates 250 kilowatts (kW) of power.<br>Convert this power output from kilowatts to Decibel-watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in kilowatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Kilowatts)</sub></span>  = 250</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from kilowatts to decibel-watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Kilowatts)</sub></span> &times; 1e3) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Kilowatts)</sub> = 250</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>250</span> &times; 1e3) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 53.9794</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>250 kW</strong> is equal to <strong>53.9794 dBW</strong>.</p>\n        <p>The power  is <strong>53.9794 dBW</strong>, in decibel-watts.</p>\n        </div>\n      <div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">2</span>\n        <h3 class=\"question\">Consider that a high-end gaming PC setup consumes 1 kilowatt (kW) of power.<br>Convert this power usage from kilowatts to Decibel-watts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in kilowatts is:</p>\n        <p class=\"step\"><span>Power<sub>(Kilowatts)</sub></span>  = 1</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from kilowatts to decibel-watts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Kilowatts)</sub></span> &times; 1e3) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Kilowatts)</sub> = 1</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 10 &times; Math.log(<span>1</span> &times; 1e3) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-watts)</sub></span> = 30</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>1 kW</strong> is equal to <strong>30 dBW</strong>.</p>\n        <p>The power  is <strong>30 dBW</strong>, in decibel-watts.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/power/kilowatt-decibel_watt.webp\" height=\"360\" width=\"640\" alt=\"Kilowatts to Decibel-watts Converter | kW to dBW\" />",
  "table1n": "<h2><span class=\"x\">Kilowatts</span> to <span class=\"y\">Decibel-watts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Kilowatts to Decibel-watts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Kilowatts (<span class=\"unit\">kW</span>)</th><th scope=\"column\" role=\"columnheader\">Decibel-watts (<span class=\"unit\">dBW</span>)</th><tr></thead><tbody><tr><td>0.01 <span class=\"unit\">kW</span></td><td>10 <span class=\"unit\">dBW</span></td></tr><tr><td>0.1 <span class=\"unit\">kW</span></td><td>20 <span class=\"unit\">dBW</span></td></tr><tr><td>1 <span class=\"unit\">kW</span></td><td>30 <span class=\"unit\">dBW</span></td></tr><tr><td>2 <span class=\"unit\">kW</span></td><td>33<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>3 <span class=\"unit\">kW</span></td><td>34<span>.7712</span> <span class=\"unit\">dBW</span></td></tr><tr><td>4 <span class=\"unit\">kW</span></td><td>36<span>.0206</span> <span class=\"unit\">dBW</span></td></tr><tr><td>5 <span class=\"unit\">kW</span></td><td>36<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>6 <span class=\"unit\">kW</span></td><td>37<span>.7815</span> <span class=\"unit\">dBW</span></td></tr><tr><td>7 <span class=\"unit\">kW</span></td><td>38<span>.451</span> <span class=\"unit\">dBW</span></td></tr><tr><td>8 <span class=\"unit\">kW</span></td><td>39<span>.0309</span> <span class=\"unit\">dBW</span></td></tr><tr><td>9 <span class=\"unit\">kW</span></td><td>39<span>.5424</span> <span class=\"unit\">dBW</span></td></tr><tr><td>10 <span class=\"unit\">kW</span></td><td>40 <span class=\"unit\">dBW</span></td></tr><tr><td>20 <span class=\"unit\">kW</span></td><td>43<span>.0103</span> <span class=\"unit\">dBW</span></td></tr><tr><td>50 <span class=\"unit\">kW</span></td><td>46<span>.9897</span> <span class=\"unit\">dBW</span></td></tr><tr><td>100 <span class=\"unit\">kW</span></td><td>50 <span class=\"unit\">dBW</span></td></tr><tr><td>1000 <span class=\"unit\">kW</span></td><td>60 <span class=\"unit\">dBW</span></td></tr></table>",
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    [
      "kilowatt",
      "Kilowatts",
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      "megawatt",
      "Megawatts",
      "MW"
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    [
      "gigawatt",
      "Gigawatts",
      "GW"
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    [
      "decibel_milliwatt",
      "Decibel-milliwatts",
      "dBm"
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    [
      "decibel_watt",
      "Decibel-watts",
      "dBW"
    ],
    [
      "horsepower_mechanic",
      "Horsepower (Mechanic)",
      "hp(I)"
    ],
    [
      "horsepower_electric",
      "Horsepower (Electric)",
      "hp(E)"
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    [
      "btu_hr",
      "BTU/hr",
      "BTU/hr"
    ]
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  "x_long_desc": "A kilowatt (kW) is equal to 1,000 watts. It is commonly used to express the power output of engines and the power consumption of electrical devices. For example, household appliances and electric vehicles are often rated in kilowatts.",
  "y_long_desc": "A decibel watt (dBW) is a unit of power level relative to one watt, expressed in decibels. It is commonly used in telecommunications and audio engineering to describe power levels in a logarithmic scale."
}