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Joule per Second to Ton of Refrigeration Converter

Convert J/s to TR with our free online power converter.

Quick Answer

1 Joule per Second = 0.000284 TR

Formula: Joule per Second × conversion factor = Ton of Refrigeration

Use the calculator below for instant, accurate conversions.

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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: December 2025Reviewed by: Sam Mathew, Software Engineer

Joule per Second to Ton of Refrigeration Calculator

How to Use the Joule per Second to Ton of Refrigeration Calculator:

  1. Enter the value you want to convert in the 'From' field (Joule per Second).
  2. The converted value in Ton of Refrigeration will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Power category.
  4. Click the swap button (⇌) to reverse the conversion direction.
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How to Convert Joule per Second to Ton of Refrigeration: Step-by-Step Guide

Converting Joule per Second to Ton of Refrigeration involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

TR = J/s × 0.000284345

Example Calculation:

1 J/s = 0.000284 TR

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

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What is a Joule per Second and a Ton of Refrigeration?

1 J/s = 1 W (exactly, by definition)

SI Definition of Watt: 1 W = 1 J/s = 1 kg⋅m²/s³

1 ton of refrigeration (TR) = 12,000 BTU/h = 3.517 kW = 3,024 kcal/h

Origin: Heat absorbed by melting 1 ton (2,000 lbs) of ice at 32°F in 24 hours

Note: The Joule per Second is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Ton of Refrigeration belongs to the imperial/US customary system.

Common Uses and Applications: J/s vs TR

Explore the typical applications for both Joule per Second (imperial/US) and Ton of Refrigeration (imperial/US) to understand their common contexts.

Common Uses for J/s

Physics: Fundamental power unit, teaching energy/power relationship. Engineering: Power calculations, energy transfer rates. Scientific: Research papers, technical specifications. Interchangeable: J/s and W used synonymously.

When to Use TR

Residential AC: Home air conditioning systems (1.5-5 tons typical). Commercial HVAC: Office buildings, retail (10-200 tons per system). Industrial Refrigeration: Cold storage, food processing (50-500+ tons). Chiller Systems: Large building cooling, data centers.

Additional Unit Information

About Joule per Second (J/s)

Why is 1 J/s = 1 W exactly?

SI Definition: The watt is defined as one joule per second

Dimensional analysis:

  • Energy: joules (J)
  • Time: seconds (s)
  • Power: energy/time = J/s

Therefore: 1 W ≡ 1 J/s (definitional equality)

Example: 100W device uses 100 J every second

  • 1 second: 100 J used
  • 10 seconds: 1,000 J used
  • 1 hour (3,600s): 360,000 J = 360 kJ = 0.1 kWh

How do I calculate power from energy and time?

Formula: Power (W or J/s) = Energy (J) ÷ Time (s)

Examples:

Charging phone:

  • Battery capacity: 15 Wh = 54,000 J
  • Charging time: 2 hours = 7,200 s
  • Charging power: 54,000 ÷ 7,200 = 7.5 J/s = 7.5 W

Lifting weight:

  • Work done: 500 J (lifting 50 kg by 1 meter)
  • Time taken: 2 seconds
  • Power output: 500 ÷ 2 = 250 J/s = 250 W

Boiling water:

  • Energy needed: 420,000 J (1 liter, 25°C to 100°C)
  • Time: 6 minutes = 360 s
  • Power: 420,000 ÷ 360 = 1,167 J/s = 1,167 W = 1.17 kW

What is the difference between J/s and J?

J (Joule) = Energy (total amount) J/s (Joule per second) = Power (rate of energy transfer)

Analogy:

  • J = distance traveled (miles)
  • J/s = speed (miles per hour)

Example:

  • Energy stored: 10,000 J (battery capacity)
  • Power delivered: 100 J/s (discharge rate)
  • Time to empty: 10,000 ÷ 100 = 100 seconds

Another example:

  • Microwave energy delivered: 600,000 J (to heat food)
  • Microwave power: 1,000 J/s
  • Cooking time: 600,000 ÷ 1,000 = 600 s = 10 minutes

How do I convert between J/s and other power units?

J/s to watts: 1:1 (they're the same)

J/s to other units:

  • kW = J/s ÷ 1,000
  • hp = J/s ÷ 745.7
  • BTU/h = J/s × 3.412

Examples:

  • 1,000 J/s = 1,000 W = 1 kW
  • 745.7 J/s = 745.7 W = 1 hp
  • 100 J/s = 100 W = 341.2 BTU/h

J/s to kW converter → J/s to HP converter →

Why use W instead of J/s if they're identical?

Brevity: "100 watts" vs "100 joules per second" Convention: Industry standard since 1960 Honor: Named after James Watt (inventor, engineer) Clarity: Distinguishes power from energy (avoids "joules per hour" confusion)

In practice: Both acceptable, but "watt" strongly preferred in all applications. Scientific papers use both interchangeably.

About Ton of Refrigeration (TR)

How many tons of AC do I need?

Basic calculation: Square footage ÷ 400-600 = tons needed

More accurate method:

  1. Calculate BTU/h needed (sq ft × 20-25 BTU/h)
  2. Divide by 12,000 to get tons

Example (1,800 sq ft home):

  • BTU/h needed: 1,800 × 22 = 39,600 BTU/h
  • Tons needed: 39,600 ÷ 12,000 = 3.3 tons
  • Choose: 3 ton or 3.5 ton system

Factors affecting sizing:

  • Climate zone (hot = more, moderate = less)
  • Insulation quality
  • Window area and orientation
  • Ceiling height
  • Number of occupants
  • Heat-generating appliances

[AC sizing calculator]

How do I convert tons to BTU/h or kW?

Formulas:

  • BTU/h = Tons × 12,000
  • kW = Tons × 3.517

Examples:

  • 2 tons = 24,000 BTU/h = 7.03 kW
  • 3 tons = 36,000 BTU/h = 10.55 kW
  • 4 tons = 48,000 BTU/h = 14.07 kW
  • 5 tons = 60,000 BTU/h = 17.58 kW

Reverse:

  • BTU/h ÷ 12,000 = Tons
  • kW ÷ 3.517 = Tons

Tons to BTU/h converter → Tons to kW converter →

Why is it called a "ton" of refrigeration?

Historical origin: In the 1800s, ice production was measured by tons of ice produced.

The definition: 1 ton of refrigeration = cooling power needed to freeze 1 ton (2,000 pounds) of water at 32°F into ice in 24 hours.

The math:

  • Latent heat of ice: 144 BTU per pound
  • 2,000 lbs × 144 BTU/lb = 288,000 BTU in 24 hours
  • 288,000 BTU ÷ 24 hours = 12,000 BTU/h

Modern usage: The unit stuck even though we no longer use ice for cooling. It's purely a power measurement, NOT a weight!

What size AC for 2000 sq ft?

Typical: 3-4 tons (36,000-48,000 BTU/h)

Calculation (using 20 BTU/h per sq ft):

  • 2,000 sq ft × 20 = 40,000 BTU/h
  • 40,000 ÷ 12,000 = 3.33 tons
  • Result: 3-ton or 3.5-ton system

Climate adjustments:

  • Hot climate (Arizona, Florida): 4 tons (higher load)
  • Moderate climate: 3-3.5 tons
  • Cool climate (Northern states): 2.5-3 tons

Other factors:

  • Well-insulated home: Can use smaller (3 tons)
  • Poor insulation, lots of windows: Need larger (4 tons)
  • High ceilings: Add 10-20%
  • Multiple stories: May need multiple smaller units

Is bigger better for AC tonnage?

NO! Oversizing causes problems:

Issues with oversized AC:

  • Short cycling: Turns on/off frequently, wears out faster
  • Poor dehumidification: Doesn't run long enough to remove humidity
  • Hot/cold spots: Uneven cooling
  • Higher energy bills: Inefficient operation
  • Shorter lifespan: More wear and tear

Ideal sizing: AC should run 15-20 minutes per cycle, cycling 2-3 times per hour on hot days

Example:

  • 1,500 sq ft home needs 2.5-3 tons
  • Installing 5 tons would be wasteful and problematic
  • Better to size correctly or slightly undersize than oversize

Conversion Table: Joule per Second to Ton of Refrigeration

Joule per Second (J/s)Ton of Refrigeration (TR)
0.50
10
1.50
20.001
50.001
100.003
250.007
500.014
1000.028
2500.071
5000.142
1,0000.284

People Also Ask

How do I convert Joule per Second to Ton of Refrigeration?

To convert Joule per Second to Ton of Refrigeration, enter the value in Joule per Second in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our power converter page to convert between other units in this category.

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What is the conversion factor from Joule per Second to Ton of Refrigeration?

The conversion factor depends on the specific relationship between Joule per Second and Ton of Refrigeration. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Ton of Refrigeration back to Joule per Second?

Yes! You can easily convert Ton of Refrigeration back to Joule per Second by using the swap button (⇌) in the calculator above, or by visiting our Ton of Refrigeration to Joule per Second converter page. You can also explore other power conversions on our category page.

Learn more →

What are common uses for Joule per Second and Ton of Refrigeration?

Joule per Second and Ton of Refrigeration are both standard units used in power measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our power converter for more conversion options.

For more power conversion questions, visit our FAQ page or explore our conversion guides.

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Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Reference on Constants, Units and Uncertainty

National Institute of Standards and Technology — Fundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et Mesures — International System of Units (SI) definitions and standards

ISO 80000

International Organization for Standardization — Quantities and units international standards series

Last verified: December 3, 2025