British thermal units per second to Foot-pounds per second conversion

How to convert british thermal units per second to foot-pounds per second?

Certainly! To understand how to convert British thermal units per second (BTU/s) to foot-pounds per second (ft⋅lb/s), we need to understand the relationship between these units.

1 BTU is defined as the amount of energy needed to raise the temperature of one pound of water by one degree Fahrenheit.

One BTU is equivalent to approximately 1,055.06 joules.

A foot-pound (ft⋅lb) is a unit of energy and is defined as the amount of energy transferred when a one-pound weight is moved a vertical distance of one foot against the force of gravity.

1 joule is equivalent to approximately 0.73756 foot-pounds.

To find out how many foot-pounds per second are in one BTU per second, we can use these conversions:

1 BTU/second = 1,055.06 joules/second 1 joule/second = 0.73756 foot-pounds/second

So,

1 BTU/s = 1,055.06 joules/s * 0.73756 ft⋅lb/s ≈ 778.169 ft⋅lb/s

Therefore, 1 BTU/s is approximately equal to 778.169 foot-pounds per second.

Real-world Examples of BTU/s

1. Residential Furnace: A typical residential gas furnace might produce about 100,000 BTU per hour. To convert this to BTU per second:

   $100,000 \text{ BTU/hr} \div 3600 \text{ (seconds in an hour)} \approx 27.78 \text{ BTU/s}$

2. Air Conditioning: A typical small residential air conditioning unit might have a capacity of around 12,000 BTU per hour (often referred to as a "1-ton" unit). To convert:

   $12,000 \text{ BTU/hr} \div 3600 \approx 3.33 \text{ BTU/s}$

3. Industrial Boiler: Industrial boilers can have very high outputs. For example, a large industrial boiler might output around 10,000,000 BTU per hour.

   $10,000,000 \text{ BTU/hr} \div 3600 \approx 2,778 \text{ BTU/s}$

Summary

• 1 BTU per second is approximately 778.169 foot-pounds per second.
• Residential furnaces, air conditioning units, and industrial boilers each provide examples at different scales of BTU per second values in real-world applications.