Cubic feet per hour (ft3/h) to Teaspoons per second (tsp/s) conversion

Cubic feet per hour to Teaspoons per second conversion table

Cubic feet per hour (ft3/h)Teaspoons per second (tsp/s)
00
11.5958433333333
23.1916866666667
34.78753
46.3833733333333
57.9792166666667
69.57506
711.170903333333
812.766746666667
914.36259
1015.958433333333
2031.916866666667
3047.8753
4063.833733333333
5079.792166666667
6095.7506
70111.70903333333
80127.66746666667
90143.6259
100159.58433333333
10001595.8433333333

How to convert cubic feet per hour to teaspoons per second?

To convert cubic feet per hour (ft3/hr\text{ft}^3/\text{hr}) to teaspoons per second (tsp/s), you need to use a series of conversions to bridge the gap between these two units.

Here's a step-by-step guide to the conversion:

  1. Convert cubic feet to cubic inches: 1 cubic foot (ft³) is equivalent to 1728 cubic inches (in³) because there are 12 inches in a foot (12 inches)^3 = 1728 cubic inches.

    1ft3=1728in3 1 \, \text{ft}^3 = 1728 \, \text{in}^3

  2. Convert cubic inches to teaspoons: 1 cubic inch is equivalent to approximately 3.32468 teaspoons.

    1in33.32468tsp 1 \, \text{in}^3 \approx 3.32468 \, \text{tsp}

  3. Convert hours to seconds: 1 hour is equal to 3600 seconds.

    1hr=3600s 1 \, \text{hr} = 3600 \, \text{s}

  4. Combine the conversions: To find the equivalent rate in teaspoons per second:

    1ft3/hr×1728in31ft3×3.32468tsp1in3×1hr3600s 1 \, \text{ft}^3/\text{hr} \times \frac{1728 \, \text{in}^3}{1 \, \text{ft}^3} \times \frac{3.32468 \, \text{tsp}}{1 \, \text{in}^3} \times \frac{1 \, \text{hr}}{3600 \, \text{s}}

    Simplify the units (ft³ and in³ cancel out) to get:

    1ft3/hr=1728×3.32468tsp3600s 1 \, \text{ft}^3/\text{hr} = \frac{1728 \times 3.32468 \, \text{tsp}}{3600 \, \text{s}}

    Calculate the numerical value:

    1ft3/hr=5748.6tsp3600s 1 \, \text{ft}^3/\text{hr} = \frac{5748.6 \, \text{tsp}}{3600 \, \text{s}}

    1ft3/hr1.5963tsp/s 1 \, \text{ft}^3/\text{hr} \approx 1.5963 \, \text{tsp/s}

So, 1 cubic foot per hour is approximately 1.5963 teaspoons per second.

Real-world Examples with Different Quantities of Cubic Feet per Hour

  1. Kitchen Faucet Flow Rate: A typical kitchen faucet might have a flow rate of about 1500 cubic feet per hour.

    Convert this to teaspoons per second:

    1500ft3/hr×1.5963tsp/s per ft3/hr=2394.45tsp/s 1500 \, \text{ft}^3/\text{hr} \times 1.5963 \, \text{tsp/s per ft}^3/\text{hr} = 2394.45 \, \text{tsp/s}

  2. Industrial Fan Flow Rate: An industrial fan could have a flow rate of around 500 cubic feet per hour.

    Convert this to teaspoons per second:

    500ft3/hr×1.5963tsp/s per ft3/hr=798.15tsp/s 500 \, \text{ft}^3/\text{hr} \times 1.5963 \, \text{tsp/s per ft}^3/\text{hr} = 798.15 \, \text{tsp/s}

  3. Human Breathing Rate: The average human breathes at a rate of about 0.2 cubic feet per hour while at rest.

    Convert this to teaspoons per second:

    0.2ft3/hr×1.5963tsp/s per ft3/hr=0.31926tsp/s 0.2 \, \text{ft}^3/\text{hr} \times 1.5963 \, \text{tsp/s per ft}^3/\text{hr} = 0.31926 \, \text{tsp/s}

These examples illustrate how the flow rate can significantly differ depending on the context and utility of the measurement.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Teaspoons per second to other unit conversions.

What is Cubic feet per hour?

Cubic feet per hour (CFH) is a unit used to measure the volumetric flow rate. It represents the volume of a substance (gas or liquid) that passes through a specific area per hour, measured in cubic feet. It's a common unit in various fields, especially when dealing with gas and air flow.

Definition of Cubic Feet per Hour

Cubic feet per hour (CFH) is defined as the volume of a substance, measured in cubic feet, that flows past a point in one hour.

1 CFH=1ft3hour1 \text{ CFH} = 1 \frac{\text{ft}^3}{\text{hour}}

How CFH is Formed

CFH is derived from the basic units of volume (cubic feet) and time (hour). It directly expresses how many cubic feet of a substance move within one hour. No special law or constant is specifically tied to the definition of CFH itself. It is a direct measure of flow rate, useful in practical applications.

Calculating Volume Flow Rate

The volume flow rate (Q) in cubic feet per hour can be determined using the following formula:

Q=AvQ = A \cdot v

Where:

  • QQ = Volume flow rate (ft³/hour)
  • AA = Cross-sectional area of the flow (ft²)
  • vv = Average velocity of the flow (ft/hour)

Another way to calculate it is:

Q=VtQ = \frac{V}{t}

Where:

  • QQ = Volume flow rate (ft³/hour)
  • VV = Volume (ft³)
  • tt = Time (hours)

Real-World Examples of CFH

  • Natural Gas Consumption: Home appliances like furnaces, water heaters, and stoves are rated in terms of CFH to indicate their natural gas consumption. A typical furnace might consume 80-120 CFH of natural gas.
  • HVAC Systems: Air conditioning and ventilation systems use CFH to measure the airflow rate in ductwork. A residential HVAC system might require airflow rates between 400 and 1600 CFH, depending on the size of the home.
  • Compressed Air Systems: Pneumatic tools and equipment in factories use compressed air. The compressor output is often rated in CFH or cubic feet per minute (CFM, which can easily be converted to CFH by multiplying by 60) to indicate the volume of air it can supply.
  • Industrial Processes: Many industrial processes, such as chemical manufacturing or food processing, involve controlling the flow rate of liquids or gases. CFH can be used to specify the desired flow rate of a particular fluid. For example, a chemical reactor might require a flow of 50 CFH of nitrogen gas.
  • Ventilation Systems: Exhaust fans in bathrooms or kitchens are often rated in CFM (cubic feet per minute), which can be converted to CFH. A typical bathroom exhaust fan might be rated at 50-100 CFM, which equals 3000-6000 CFH.

What is teaspoons per second?

Teaspoons per second is a somewhat unusual, but perfectly valid, unit for measuring volume flow rate. It represents the volume of fluid, measured in teaspoons, that passes a specific point in one second. Let's delve deeper into its meaning and applications.

Understanding Teaspoons per Second

A teaspoon (tsp) is a common unit of volume, primarily used in cooking and measuring small amounts of liquids or granular substances. "Per second" indicates the rate at which this volume is flowing. Therefore, 1 teaspoon per second (tsp/s) means that one teaspoon of a substance is flowing past a point every second.

How is Teaspoons per Second Formed?

Teaspoons per second is derived from dividing a volume unit (teaspoon) by a time unit (second). The formula is straightforward:

Volume Flow Rate=VolumeTime\text{Volume Flow Rate} = \frac{\text{Volume}}{\text{Time}}

In this case:

Volume Flow Rate (tsp/s)=Volume (tsp)Time (s)\text{Volume Flow Rate (tsp/s)} = \frac{\text{Volume (tsp)}}{\text{Time (s)}}

Practical Applications and Examples

While not common in scientific or industrial settings, teaspoons per second can be useful for visualizing and understanding small flow rates.

  • Drip Rate of a Faucet: Imagine a leaky faucet dripping slowly. You might estimate the drip rate to be something like 0.1 tsp/s, meaning it takes about 10 seconds for a full teaspoon to drip out.

  • Intravenous (IV) Drip: In medicine, IV drip rates are often carefully controlled. A slow IV drip might be around 0.05 tsp/s, delivering medication or fluids at a precise rate. To understand this more Medical flow rate calculations website from SUNY Upstate Medical University gives detail information.

  • Precise Chemical Reactions: In a laboratory setting, researchers might need to add a reagent very slowly to a reaction. While they'd likely use more precise equipment, conceptually, they could think about adding it at a rate of, say, 0.01 tsp/s for a controlled reaction.

Conversions and Comparisons

To put teaspoons per second into perspective, it can be helpful to convert it to more standard units:

  • Conversion to Cubic Meters per Second (m3/sm^3/s)

    1 tsp ≈ 4.92892 × 10-6 m3m^3

    Therefore:

    1 tsp/s ≈ 4.92892 × 10-6 m3/sm^3/s

  • Comparison to Other Units

    • Milliliters per second (mL/s): 1 tsp/s ≈ 4.92892 mL/s
    • Liters per minute (L/min): 1 tsp/s ≈ 0.295735 L/min

Relevant Laws or Figures

While no specific scientific law is directly linked to teaspoons per second, the principles of fluid dynamics govern the behavior of flowing fluids. Figures like Bernoulli, who formulated Bernoulli's principle (relating fluid speed to pressure), and Poiseuille, who derived Poiseuille's Law (describing flow rate through a tube), have contributed significantly to our understanding of fluid flow in general. Although not specific to teaspoons, the principles apply regardless of the units used.

Complete Cubic feet per hour conversion table

Enter # of Cubic feet per hour
Convert 1 ft3/h to other unitsResult
Cubic feet per hour to Cubic Millimeters per second (ft3/h to mm3/s)7865.7866663374
Cubic feet per hour to Cubic Centimeters per second (ft3/h to cm3/s)7.8657866663374
Cubic feet per hour to Cubic Decimeters per second (ft3/h to dm3/s)0.007865786666337
Cubic feet per hour to Cubic Decimeters per minute (ft3/h to dm3/min)0.4719471999802
Cubic feet per hour to Cubic Decimeters per hour (ft3/h to dm3/h)28.316831998815
Cubic feet per hour to Cubic Decimeters per day (ft3/h to dm3/d)679.60396797155
Cubic feet per hour to Cubic Decimeters per year (ft3/h to dm3/a)248225.34930161
Cubic feet per hour to Millilitres per second (ft3/h to ml/s)7.8657866663374
Cubic feet per hour to Centilitres per second (ft3/h to cl/s)0.7865786666337
Cubic feet per hour to Decilitres per second (ft3/h to dl/s)0.07865786666337
Cubic feet per hour to Litres per second (ft3/h to l/s)0.007865786666337
Cubic feet per hour to Litres per minute (ft3/h to l/min)0.4719471999802
Cubic feet per hour to Litres per hour (ft3/h to l/h)28.316831998815
Cubic feet per hour to Litres per day (ft3/h to l/d)679.60396797155
Cubic feet per hour to Litres per year (ft3/h to l/a)248225.34930161
Cubic feet per hour to Kilolitres per second (ft3/h to kl/s)0.000007865786666337
Cubic feet per hour to Kilolitres per minute (ft3/h to kl/min)0.0004719471999802
Cubic feet per hour to Kilolitres per hour (ft3/h to kl/h)0.02831683199881
Cubic feet per hour to Cubic meters per second (ft3/h to m3/s)0.000007865786666337
Cubic feet per hour to Cubic meters per minute (ft3/h to m3/min)0.0004719471999802
Cubic feet per hour to Cubic meters per hour (ft3/h to m3/h)0.02831683199881
Cubic feet per hour to Cubic meters per day (ft3/h to m3/d)0.6796039679715
Cubic feet per hour to Cubic meters per year (ft3/h to m3/a)248.22534930161
Cubic feet per hour to Cubic kilometers per second (ft3/h to km3/s)7.8657866663374e-15
Cubic feet per hour to Teaspoons per second (ft3/h to tsp/s)1.5958433333333
Cubic feet per hour to Tablespoons per second (ft3/h to Tbs/s)0.5319477777778
Cubic feet per hour to Cubic inches per second (ft3/h to in3/s)0.4800019651132
Cubic feet per hour to Cubic inches per minute (ft3/h to in3/min)28.800117906793
Cubic feet per hour to Cubic inches per hour (ft3/h to in3/h)1728.0070744076
Cubic feet per hour to Fluid Ounces per second (ft3/h to fl-oz/s)0.2659738888889
Cubic feet per hour to Fluid Ounces per minute (ft3/h to fl-oz/min)15.958433333333
Cubic feet per hour to Fluid Ounces per hour (ft3/h to fl-oz/h)957.506
Cubic feet per hour to Cups per second (ft3/h to cup/s)0.03324673611111
Cubic feet per hour to Pints per second (ft3/h to pnt/s)0.01662336805556
Cubic feet per hour to Pints per minute (ft3/h to pnt/min)0.9974020833333
Cubic feet per hour to Pints per hour (ft3/h to pnt/h)59.844125
Cubic feet per hour to Quarts per second (ft3/h to qt/s)0.008311684027778
Cubic feet per hour to Gallons per second (ft3/h to gal/s)0.002077921006944
Cubic feet per hour to Gallons per minute (ft3/h to gal/min)0.1246752604167
Cubic feet per hour to Gallons per hour (ft3/h to gal/h)7.480515625
Cubic feet per hour to Cubic feet per second (ft3/h to ft3/s)0.0002777777777778
Cubic feet per hour to Cubic feet per minute (ft3/h to ft3/min)0.01666666666667
Cubic feet per hour to Cubic yards per second (ft3/h to yd3/s)0.00001028805072155
Cubic feet per hour to Cubic yards per minute (ft3/h to yd3/min)0.0006172830432927
Cubic feet per hour to Cubic yards per hour (ft3/h to yd3/h)0.03703698259756

Volume flow rate conversions