Cubic meters per second (m3/s) to Cubic yards per hour (yd3/h) conversion

Cubic meters per second to Cubic yards per hour conversion table

Cubic meters per second (m3/s)Cubic yards per hour (yd3/h)
00
14708.6177350915
29417.235470183
314125.853205274
418834.470940366
523543.088675457
628251.706410549
732960.32414564
837668.941880732
942377.559615823
1047086.177350915
2094172.35470183
30141258.53205274
40188344.70940366
50235430.88675457
60282517.06410549
70329603.2414564
80376689.41880732
90423775.59615823
100470861.77350915
10004708617.7350915

How to convert cubic meters per second to cubic yards per hour?

Here's a breakdown of how to convert between cubic meters per second (m3/sm^3/s) and cubic yards per hour (yd3/hryd^3/hr).

Understanding the Conversion

Converting between cubic meters per second and cubic yards per hour involves converting both the volume and time units. This requires understanding the relationships between meters and yards, and seconds and hours. The primary goal is to apply conversion factors accurately to switch between the two units.

Conversion Factors

  • Length: 1 meter ≈ 1.09361 yards
  • Volume: 1m3(1.09361)3yd31.30795yd31 m^3 ≈ (1.09361)^3 yd^3 ≈ 1.30795 yd^3
  • Time: 1 hour = 3600 seconds

Converting Cubic Meters per Second to Cubic Yards per Hour

To convert from cubic meters per second to cubic yards per hour, use the following steps:

  1. Cubic Meters to Cubic Yards: Multiply the value in cubic meters by the conversion factor to get cubic yards.

    1m3/s=1.30795yd3/s1 m^3/s = 1.30795 yd^3/s

  2. Seconds to Hours: Multiply by the conversion factor to convert seconds to hours.

    1s=13600hr1 s = \frac{1}{3600} hr, so multiply yd3/syd^3/s by 3600 to get yd3/hryd^3/hr.

  3. Combined Conversion:

    1m3s×1.30795yd31m3×3600s1hr=4708.62yd3hr1 \frac{m^3}{s} \times \frac{1.30795 yd^3}{1 m^3} \times \frac{3600 s}{1 hr} = 4708.62 \frac{yd^3}{hr}

    Therefore, 1 cubic meter per second is approximately 4708.62 cubic yards per hour.

Converting Cubic Yards per Hour to Cubic Meters per Second

To convert from cubic yards per hour to cubic meters per second, reverse the process:

  1. Cubic Yards to Cubic Meters: Divide the value in cubic yards by the conversion factor to get cubic meters.

    1yd3=11.30795m30.76455m31 yd^3 = \frac{1}{1.30795} m^3 ≈ 0.76455 m^3

  2. Hours to Seconds: Divide by the conversion factor to convert hours to seconds.

    1hr=3600s1 hr = 3600 s, so divide m3/hrm^3/hr by 3600 to get m3/sm^3/s.

  3. Combined Conversion:

    1yd3hr×0.76455m31yd3×1hr3600s=0.000212375m3s1 \frac{yd^3}{hr} \times \frac{0.76455 m^3}{1 yd^3} \times \frac{1 hr}{3600 s} = 0.000212375 \frac{m^3}{s}

    Therefore, 1 cubic yard per hour is approximately 0.000212375 cubic meters per second.

Real-World Examples

These conversions are crucial in various fields:

  1. River Flow Rates: Hydrologists use these conversions to compare river discharge rates internationally. For example, the average flow rate of the Amazon River is around 209,000 m3/sm^3/s, which converts to approximately 983,107,780 yd3/hryd^3/hr.
  2. Wastewater Treatment Plants: Engineers need to convert flow rates to ensure treatment capacity. A plant might process wastewater at a rate of 50 m3/sm^3/s, which is about 235,431 yd3/hryd^3/hr.
  3. HVAC Systems: Determining the airflow in large buildings often requires converting between these units to match equipment specifications. For instance, a ventilation system might move air at 10 m3/sm^3/s, equivalent to 47,086.2 yd3/hryd^3/hr.
  4. Irrigation: Determining the flow of water needed for agricultural purposes. A farmer might want to pump water at 2 m3/sm^3/s, which is equal to 9,417.24 yd3/hryd^3/hr.

Historical Context and Notable Figures

While there isn't a specific law or person directly associated with this particular conversion, the broader field of fluid dynamics and unit standardization involves numerous scientists and engineers. People like Osborne Reynolds (known for the Reynolds number in fluid flow) and institutions like the International Bureau of Weights and Measures have played pivotal roles in standardizing units and measurements used in these calculations.

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 Cubic yards per hour to other unit conversions.

What is cubic meters per second?

What is Cubic meters per second?

Cubic meters per second (m3/sm^3/s) is the SI unit for volume flow rate, representing the volume of fluid passing a given point per unit of time. It's a measure of how quickly a volume of fluid is moving.

Understanding Cubic Meters per Second

Definition and Formation

One cubic meter per second is equivalent to a volume of one cubic meter flowing past a point in one second. It is derived from the base SI units of length (meter) and time (second).

Formula and Calculation

The volume flow rate (QQ) can be defined mathematically as:

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

Where:

  • QQ is the volume flow rate in m3/sm^3/s
  • VV is the volume in m3m^3
  • tt is the time in seconds

Alternatively, if you know the cross-sectional area (AA) of the flow and the average velocity (vv) of the fluid, you can calculate the volume flow rate as:

Q=AvQ = A \cdot v

Where:

  • AA is the cross-sectional area in m2m^2
  • vv is the average velocity in m/sm/s

Relevance and Applications

Relationship with Mass Flow Rate

Volume flow rate is closely related to mass flow rate (m˙\dot{m}), which represents the mass of fluid passing a point per unit of time. The relationship between them is:

m˙=ρQ\dot{m} = \rho \cdot Q

Where:

  • m˙\dot{m} is the mass flow rate in kg/skg/s
  • ρ\rho is the density of the fluid in kg/m3kg/m^3
  • QQ is the volume flow rate in m3/sm^3/s

Real-World Examples

  • Rivers and Streams: Measuring the flow rate of rivers helps hydrologists manage water resources and predict floods. The Amazon River, for example, has an average discharge of about 209,000 m3/sm^3/s.
  • Industrial Processes: Chemical plants and refineries use flow meters to control the rate at which liquids and gases are transferred between tanks and reactors. For instance, controlling the flow rate of reactants in a chemical reactor is crucial for achieving the desired product yield.
  • HVAC Systems: Heating, ventilation, and air conditioning systems use fans and ducts to circulate air. The flow rate of air through these systems is measured in m3/sm^3/s to ensure proper ventilation and temperature control.
  • Water Supply: Municipal water supply systems use pumps to deliver water to homes and businesses. The flow rate of water through these systems is measured in m3/sm^3/s to ensure adequate water pressure and availability.
  • Hydropower: Hydroelectric power plants use the flow of water through turbines to generate electricity. The volume flow rate of water is a key factor in determining the power output of the plant. The Three Gorges Dam for example, diverts over 45,000 m3/sm^3/s during peak flow.

Interesting Facts and Historical Context

While no specific law or famous person is directly linked to the unit itself, the concept of fluid dynamics, which uses volume flow rate extensively, is deeply rooted in the work of scientists and engineers like:

  • Daniel Bernoulli: Known for Bernoulli's principle, which relates the pressure, velocity, and elevation of a fluid in a stream.
  • Osborne Reynolds: Famous for the Reynolds number, a dimensionless quantity used to predict the flow regime (laminar or turbulent) in a fluid.

These concepts form the foundation for understanding and applying volume flow rate in various fields.

What is cubic yards per hour?

What is Cubic yards per hour?

Cubic yards per hour (yd³/hr) is a unit of volume flow rate, representing the volume of a substance that passes through a given area per unit of time. Specifically, it measures how many cubic yards of a substance flow in one hour. It's commonly used in industries dealing with large volumes, such as construction, mining, and waste management.

Understanding Cubic Yards

Before diving into cubic yards per hour, let's define the individual unit of cubic yard. A cubic yard is a unit of volume in the imperial and United States customary systems. It is the volume of a cube with sides of one yard (3 feet, 36 inches, or 0.9144 meters) in length.

1 yd=3 ft=36 in=0.9144 m1 \text{ yd} = 3 \text{ ft} = 36 \text{ in} = 0.9144 \text{ m}

1 yd3=(1 yd)3=(3 ft)3=27 ft31 \text{ yd}^3 = (1 \text{ yd})^3 = (3 \text{ ft})^3 = 27 \text{ ft}^3

  • Practical Uses: Landscaping (mulch, soil), concrete, gravel, and waste disposal.

Defining "Per Hour"

"Per hour" simply means "in one hour." This standardizes the rate of flow, allowing for easy comparison and calculation across different scenarios.

How Cubic Yards Per Hour is Formed

Cubic yards per hour combines the unit of volume (cubic yards) with a unit of time (hour) to express flow rate. The formula to calculate volume flow rate (QQ) is:

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

Where:

  • QQ = Volume flow rate (yd³/hr)
  • VV = Volume (yd³)
  • tt = Time (hours)

Real-World Examples of Cubic Yards Per Hour

  • Concrete Pouring: A concrete truck might discharge concrete at a rate of 10-20 yd³/hr. This dictates how quickly a foundation or slab can be poured.
  • Gravel Spreading: A construction crew spreading gravel on a roadbed could spread gravel at a rate of 5-15 yd³/hr.
  • Waste Removal: A large-scale waste management facility might process 50-100 yd³/hr of waste material.
  • River Flow: The flow rate of a river during a flood stage might be measured in thousands of cubic yards per hour. Consider the Mississippi River during peak flow, which can reach extremely high values. This is usually measured in cubic feet per second but can be converted.

Interesting Facts and Applications

While no specific laws or famous figures are directly tied to cubic yards per hour, understanding flow rates is critical in many engineering disciplines. For example:

  • Hydraulic Engineering: Calculating flow rates in pipes and channels is crucial for designing water supply systems and sewage networks.
  • Environmental Engineering: Monitoring flow rates of pollutants in rivers and streams is essential for assessing environmental impact.
  • Chemical Engineering: Controlling flow rates of reactants in chemical processes is critical for optimizing production.

SEO Considerations

Using cubic yards per hour alongside other relevant units like cubic feet per minute (CFM) or liters per second can improve search visibility. Including specific examples relevant to target industries (construction, waste management, etc.) will also help attract the right audience.

Complete Cubic meters per second conversion table

Enter # of Cubic meters per second
Convert 1 m3/s to other unitsResult
Cubic meters per second to Cubic Millimeters per second (m3/s to mm3/s)1000000000
Cubic meters per second to Cubic Centimeters per second (m3/s to cm3/s)1000000
Cubic meters per second to Cubic Decimeters per second (m3/s to dm3/s)1000
Cubic meters per second to Cubic Decimeters per minute (m3/s to dm3/min)60000
Cubic meters per second to Cubic Decimeters per hour (m3/s to dm3/h)3600000
Cubic meters per second to Cubic Decimeters per day (m3/s to dm3/d)86400000
Cubic meters per second to Cubic Decimeters per year (m3/s to dm3/a)31557600000
Cubic meters per second to Millilitres per second (m3/s to ml/s)1000000
Cubic meters per second to Centilitres per second (m3/s to cl/s)100000
Cubic meters per second to Decilitres per second (m3/s to dl/s)10000
Cubic meters per second to Litres per second (m3/s to l/s)1000
Cubic meters per second to Litres per minute (m3/s to l/min)60000
Cubic meters per second to Litres per hour (m3/s to l/h)3600000
Cubic meters per second to Litres per day (m3/s to l/d)86400000
Cubic meters per second to Litres per year (m3/s to l/a)31557600000
Cubic meters per second to Kilolitres per second (m3/s to kl/s)1
Cubic meters per second to Kilolitres per minute (m3/s to kl/min)60
Cubic meters per second to Kilolitres per hour (m3/s to kl/h)3600
Cubic meters per second to Cubic meters per minute (m3/s to m3/min)60
Cubic meters per second to Cubic meters per hour (m3/s to m3/h)3600
Cubic meters per second to Cubic meters per day (m3/s to m3/d)86400
Cubic meters per second to Cubic meters per year (m3/s to m3/a)31557600
Cubic meters per second to Cubic kilometers per second (m3/s to km3/s)1e-9
Cubic meters per second to Teaspoons per second (m3/s to tsp/s)202884.1362
Cubic meters per second to Tablespoons per second (m3/s to Tbs/s)67628.0454
Cubic meters per second to Cubic inches per second (m3/s to in3/s)61024.025374023
Cubic meters per second to Cubic inches per minute (m3/s to in3/min)3661441.5224414
Cubic meters per second to Cubic inches per hour (m3/s to in3/h)219686491.34648
Cubic meters per second to Fluid Ounces per second (m3/s to fl-oz/s)33814.0227
Cubic meters per second to Fluid Ounces per minute (m3/s to fl-oz/min)2028841.362
Cubic meters per second to Fluid Ounces per hour (m3/s to fl-oz/h)121730481.72
Cubic meters per second to Cups per second (m3/s to cup/s)4226.7528375
Cubic meters per second to Pints per second (m3/s to pnt/s)2113.37641875
Cubic meters per second to Pints per minute (m3/s to pnt/min)126802.585125
Cubic meters per second to Pints per hour (m3/s to pnt/h)7608155.1075
Cubic meters per second to Quarts per second (m3/s to qt/s)1056.688209375
Cubic meters per second to Gallons per second (m3/s to gal/s)264.17205234375
Cubic meters per second to Gallons per minute (m3/s to gal/min)15850.323140625
Cubic meters per second to Gallons per hour (m3/s to gal/h)951019.3884375
Cubic meters per second to Cubic feet per second (m3/s to ft3/s)35.314684921034
Cubic meters per second to Cubic feet per minute (m3/s to ft3/min)2118.8810952621
Cubic meters per second to Cubic feet per hour (m3/s to ft3/h)127132.86571572
Cubic meters per second to Cubic yards per second (m3/s to yd3/s)1.3079493708587
Cubic meters per second to Cubic yards per minute (m3/s to yd3/min)78.476962251525
Cubic meters per second to Cubic yards per hour (m3/s to yd3/h)4708.6177350915

Volume flow rate conversions