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Horsepower (Mechanic) to Decibel-milliwatts Converter

Enter Horsepower (Mechanic)

hp(I)

Decibel-milliwatts

dBm

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⇅ Switch toDecibel-milliwatts to Horsepower (Mechanic) Converter

How to use this Horsepower (Mechanic) to Decibel-milliwatts Converter 🤔

Follow these steps to convert given power from the units of Horsepower (Mechanic) to the units of Decibel-milliwatts.

1. Enter the input Horsepower (Mechanic) value in the text field.
2. The calculator converts the given Horsepower (Mechanic) into Decibel-milliwatts in realtime ⌚ using the conversion formula, and displays under the Decibel-milliwatts label. You do not need to click any button. If the input changes, Decibel-milliwatts value is re-calculated, just like that.
3. You may copy the resulting Decibel-milliwatts 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 Horsepower (Mechanic) to Decibel-milliwatts?

The formula to convert given power from Horsepower (Mechanic) to Decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_{(Horsepower (Mechanic))} × 745.699872 × 1000) × Math.LOG10E

Substitute the given value of power in horsepower (mechanic), i.e., Power_{(Horsepower (Mechanic))} in the above formula and simplify the right-hand side value. The resulting value is the power in decibel-milliwatts, i.e., Power_{(Decibel-milliwatts)}.

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a sports car engine produces 400 horsepower (mechanic).
Convert this power output from horsepower to Decibel-milliwatts.

Answer:

Given:

The power in horsepower (mechanic) is:

Power_{(Horsepower (Mechanic))} = 400

Formula:

The formula to convert power from horsepower (mechanic) to decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_{(Horsepower (Mechanic))} × 745.699872 × 1000) × Math.LOG10E

Substitution:

Substitute given weight Power_{(Horsepower (Mechanic))} = 400 in the above formula.

Power_{(Decibel-milliwatts)} = 10 × Math.log(400 × 745.699872 × 1000) × Math.LOG10E

Power_{(Decibel-milliwatts)} = 84.7462

Final Answer:

Therefore, 400 hp(I) is equal to 84.7462 dBm.

The power is 84.7462 dBm, in decibel-milliwatts.

2

Consider that a high-performance motorcycle engine generates 150 horsepower (mechanic).
Convert this power output from horsepower to Decibel-milliwatts.

Answer:

Given:

The power in horsepower (mechanic) is:

Power_{(Horsepower (Mechanic))} = 150

Formula:

The formula to convert power from horsepower (mechanic) to decibel-milliwatts is:

Power_{(Decibel-milliwatts)} = 10 × Math.log(Power_{(Horsepower (Mechanic))} × 745.699872 × 1000) × Math.LOG10E

Substitution:

Substitute given weight Power_{(Horsepower (Mechanic))} = 150 in the above formula.

Power_{(Decibel-milliwatts)} = 10 × Math.log(150 × 745.699872 × 1000) × Math.LOG10E

Power_{(Decibel-milliwatts)} = 80.4866

Final Answer:

Therefore, 150 hp(I) is equal to 80.4866 dBm.

The power is 80.4866 dBm, in decibel-milliwatts.

Horsepower (Mechanic) to Decibel-milliwatts Conversion Table

The following table gives some of the most used conversions from Horsepower (Mechanic) to Decibel-milliwatts.

Horsepower (Mechanic) (hp(I))	Decibel-milliwatts (dBm)
0.01 hp(I)	38.7256 dBm
0.1 hp(I)	48.7256 dBm
1 hp(I)	58.7256 dBm
2 hp(I)	61.7359 dBm
3 hp(I)	63.4969 dBm
4 hp(I)	64.7462 dBm
5 hp(I)	65.7153 dBm
6 hp(I)	66.5072 dBm
7 hp(I)	67.1766 dBm
8 hp(I)	67.7565 dBm
9 hp(I)	68.2681 dBm
10 hp(I)	68.7256 dBm
20 hp(I)	71.7359 dBm
50 hp(I)	75.7153 dBm
100 hp(I)	78.7256 dBm
1000 hp(I)	88.7256 dBm

Horsepower (Mechanic)

Mechanical horsepower (hp) is a unit of power that measures the rate at which work is done. One mechanical horsepower is equivalent to approximately 745.7 watts. It is often used to rate the power output of engines and motors.

Decibel-milliwatts

A decibel milliwatt (dBm) is a unit of power level used in radio, microwave, and fiber-optic communication networks. It is a logarithmic unit that expresses power relative to one milliwatt.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Horsepower (Mechanic) to Decibel-milliwatts in Power?

2. Is this tool free or paid?

3. How do I convert Power from Horsepower (Mechanic) to Decibel-milliwatts?

{
  "conversion": "horsepower_mechanic-decibel_milliwatt",
  "x_slug": "horsepower_mechanic",
  "y_slug": "decibel_milliwatt",
  "x": "hp(I)",
  "y": "dBm",
  "x_desc": "Horsepower (Mechanic)",
  "y_desc": "Decibel-milliwatts",
  "category": "Power",
  "symbol": "m",
  "formula": "10*Math.log(x * 745.699872*1000)*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 sports car engine produces 400 horsepower (mechanic).<br>Convert this power output from horsepower to Decibel-milliwatts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in horsepower (mechanic) is:</p>\n        <p class=\"step\"><span>Power<sub>(Horsepower (Mechanic))</sub></span>  = 400</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from horsepower (mechanic) to decibel-milliwatts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Horsepower (Mechanic))</sub></span>  &times;  745.699872 &times; 1000) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Horsepower (Mechanic))</sub> = 400</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>400</span>  &times;  745.699872 &times; 1000) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 84.7462</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>400 hp(I)</strong> is equal to <strong>84.7462 dBm</strong>.</p>\n        <p>The power  is <strong>84.7462 dBm</strong>, in decibel-milliwatts.</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-performance motorcycle engine generates 150 horsepower (mechanic).<br>Convert this power output from horsepower to Decibel-milliwatts.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The power  in horsepower (mechanic) is:</p>\n        <p class=\"step\"><span>Power<sub>(Horsepower (Mechanic))</sub></span>  = 150</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert power from horsepower (mechanic) to decibel-milliwatts is:</p>\n        <p class=\"formula step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>Power<sub>(Horsepower (Mechanic))</sub></span>  &times;  745.699872 &times; 1000) &times; Math.LOG10E</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Power<sub>(Horsepower (Mechanic))</sub> = 150</strong> in the above formula.</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 10 &times; Math.log(<span>150</span>  &times;  745.699872 &times; 1000) &times; Math.LOG10E</p>\n        <p class=\"step\"><span>Power<sub>(Decibel-milliwatts)</sub></span> = 80.4866</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>150 hp(I)</strong> is equal to <strong>80.4866 dBm</strong>.</p>\n        <p>The power  is <strong>80.4866 dBm</strong>, in decibel-milliwatts.</p>\n        </div>\n      ",
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  "table1n": "<h2><span class=\"x\">Horsepower (Mechanic)</span> to <span class=\"y\">Decibel-milliwatts</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Horsepower (Mechanic) to Decibel-milliwatts.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Horsepower (Mechanic) (<span class=\"unit\">hp(I)</span>)</th><th scope=\"column\" role=\"columnheader\">Decibel-milliwatts (<span class=\"unit\">dBm</span>)</th><tr></thead><tbody><tr><td>0.01 <span class=\"unit\">hp(I)</span></td><td>38<span>.7256</span> <span class=\"unit\">dBm</span></td></tr><tr><td>0.1 <span class=\"unit\">hp(I)</span></td><td>48<span>.7256</span> <span class=\"unit\">dBm</span></td></tr><tr><td>1 <span class=\"unit\">hp(I)</span></td><td>58<span>.7256</span> <span class=\"unit\">dBm</span></td></tr><tr><td>2 <span class=\"unit\">hp(I)</span></td><td>61<span>.7359</span> <span class=\"unit\">dBm</span></td></tr><tr><td>3 <span class=\"unit\">hp(I)</span></td><td>63<span>.4969</span> <span class=\"unit\">dBm</span></td></tr><tr><td>4 <span class=\"unit\">hp(I)</span></td><td>64<span>.7462</span> <span class=\"unit\">dBm</span></td></tr><tr><td>5 <span class=\"unit\">hp(I)</span></td><td>65<span>.7153</span> <span class=\"unit\">dBm</span></td></tr><tr><td>6 <span class=\"unit\">hp(I)</span></td><td>66<span>.5072</span> <span class=\"unit\">dBm</span></td></tr><tr><td>7 <span class=\"unit\">hp(I)</span></td><td>67<span>.1766</span> <span class=\"unit\">dBm</span></td></tr><tr><td>8 <span class=\"unit\">hp(I)</span></td><td>67<span>.7565</span> <span class=\"unit\">dBm</span></td></tr><tr><td>9 <span class=\"unit\">hp(I)</span></td><td>68<span>.2681</span> <span class=\"unit\">dBm</span></td></tr><tr><td>10 <span class=\"unit\">hp(I)</span></td><td>68<span>.7256</span> <span class=\"unit\">dBm</span></td></tr><tr><td>20 <span class=\"unit\">hp(I)</span></td><td>71<span>.7359</span> <span class=\"unit\">dBm</span></td></tr><tr><td>50 <span class=\"unit\">hp(I)</span></td><td>75<span>.7153</span> <span class=\"unit\">dBm</span></td></tr><tr><td>100 <span class=\"unit\">hp(I)</span></td><td>78<span>.7256</span> <span class=\"unit\">dBm</span></td></tr><tr><td>1000 <span class=\"unit\">hp(I)</span></td><td>88<span>.7256</span> <span class=\"unit\">dBm</span></td></tr></table>",
  "units": [
    [
      "milliwatt",
      "Milliwatts",
      "mW"
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    [
      "watt",
      "Watts",
      "W"
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    [
      "kilowatt",
      "Kilowatts",
      "kW"
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    [
      "megawatt",
      "Megawatts",
      "MW"
    ],
    [
      "gigawatt",
      "Gigawatts",
      "GW"
    ],
    [
      "decibel_milliwatt",
      "Decibel-milliwatts",
      "dBm"
    ],
    [
      "decibel_watt",
      "Decibel-watts",
      "dBW"
    ],
    [
      "horsepower_mechanic",
      "Horsepower (Mechanic)",
      "hp(I)"
    ],
    [
      "horsepower_electric",
      "Horsepower (Electric)",
      "hp(E)"
    ],
    [
      "btu_hr",
      "BTU/hr",
      "BTU/hr"
    ]
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  "y_long_desc": "A decibel milliwatt (dBm) is a unit of power level used in radio, microwave, and fiber-optic communication networks. It is a logarithmic unit that expresses power relative to one milliwatt.",
  "x_long_desc": "Mechanical horsepower (hp) is a unit of power that measures the rate at which work is done. One mechanical horsepower is equivalent to approximately 745.7 watts. It is often used to rate the power output of engines and motors."
}