Converting one unit of measurement to another is an essential skill, especially in fields that rely on precise calculations such as engineering, physics, and manufacturing. The conversion from cubic centimeters per day (cm³/day) to kilograms per minute (kg/min) requires an understanding of volume, mass, and time. In this article, we will guide you through the exact method to convert 189.5 cubic centimeters per day to kilograms per minute, covering each step in the process to ensure clarity and accuracy.
Step 1: Conversion Factors
To successfully convert cubic centimeters per day to kilograms per minute, we need to recognize the relationship between these units. Specifically, the conversion involves two key elements:
- Cubic centimeters (cm³) to mass (kg): The volume of a substance is measured in cubic centimeters, but to convert to kilograms, we need to know the density of the substance in question. Since density is mass per unit volume, the density value allows us to translate volume into mass. The general formula for this is:
Mass (kg)=Volume (cm³)×Density (kg/cm³)\text{Mass (kg)} = \text{Volume (cm³)} \times \text{Density (kg/cm³)}Mass (kg)=Volume (cm³)×Density (kg/cm³)
- Time (day to minute): The conversion from days to minutes requires recognizing the number of minutes in a day. There are 24 hours in a day and 60 minutes in an hour. Therefore, the conversion factor from days to minutes is:
1 day=24×60=1440 minutes1 \text{ day} = 24 \times 60 = 1440 \text{ minutes}1 day=24×60=1440 minutes
Step 2: Identify the Substance and Its Density
To proceed with the conversion, we need to know the substance you are working with, as the density of that substance directly influences the calculation. For the sake of this example, let’s assume we are working with water, as it is a common substance in such conversions.
The density of water is approximately:Density of water=1 kg/cm³\text{Density of water} = 1 \text{ kg/cm³}Density of water=1 kg/cm³
This is a simple case where the mass of 1 cubic centimeter of water is 1 gram (or 0.001 kilograms). If you are working with a different substance, you would need to look up or be provided with the specific density of that substance in kg/cm³.
Step 3: Convert Cubic Centimeters to Kilograms
Now that we know the density, we can convert the volume of 189.5 cubic centimeters per day into mass. Since we assumed the substance is water, we can use the following calculation:Mass (kg/day)=189.5 cm³/day×1 kg/cm³=189.5 kg/day\text{Mass (kg/day)} = 189.5 \, \text{cm³/day} \times 1 \, \text{kg/cm³} = 189.5 \, \text{kg/day}Mass (kg/day)=189.5cm³/day×1kg/cm³=189.5kg/day
This means that the substance has a mass of 189.5 kilograms for every day.
Step 4: Convert Days to Minutes
Next, we need to convert the mass from kilograms per day to kilograms per minute. Using the conversion factor of 1440 minutes in one day, we can now calculate:Mass (kg/min)=189.5 kg/day1440 minutes/day\text{Mass (kg/min)} = \frac{189.5 \, \text{kg/day}}{1440 \, \text{minutes/day}}Mass (kg/min)=1440minutes/day189.5kg/day
Step 5: Perform the Final Calculation
Now that we have the formula and conversion factor, we can perform the calculation:Mass (kg/min)=189.51440≈0.13125 kg/min\text{Mass (kg/min)} = \frac{189.5}{1440} \approx 0.13125 \, \text{kg/min}Mass (kg/min)=1440189.5≈0.13125kg/min
Thus, 189.5 cubic centimeters per day is approximately 0.13125 kilograms per minute when the substance is water.
Conclusion
To summarize, the conversion of 189.5 cubic centimeters per day to kilograms per minute for a substance with a density of 1 kg/cm³, such as water, is approximately 0.13125 kg/min. By following this step-by-step method—starting with understanding the density, applying the conversion factors, and performing the necessary calculations—you can easily convert other values from cubic centimeters per day to kilograms per minute.
It’s important to note that the density of the substance plays a critical role in the conversion. If you are dealing with a substance other than water, you would need the correct density for that material to adjust the calculation accordingly.