A garden hose diameter 2cm used to fill 1000L container in a time of 10 minutes.calculate the flow rate in cubic centimetres per second.
Yes
Answer
To calculate the flow rate in cubic centimeters per second, we'll need to convert the given measurements to the appropriate units.
1. Convert the garden hose diameter from centimeters to meters:
The diameter is given as 2 cm, which is equal to 0.02 meters.
2. Convert the volume of the container from liters to cubic meters:
The volume is given as 1000 L, which is equal to 1 cubic meter.
3. Convert the time from minutes to seconds:
The time is given as 10 minutes, which is equal to 600 seconds.
Now we have all the necessary values to calculate the flow rate.
Flow rate (in cubic meters per second) = Volume / Time
Flow rate = 1 cubic meter / 600 seconds
However, we need to calculate the flow rate in cubic centimeters per second. Since 1 cubic meter is equal to 1,000,000 cubic centimeters, we can convert the flow rate accordingly:
Flow rate (in cubic centimeters per second) = Flow rate (in cubic meters per second) * 1,000,000
Flow rate = 1 cubic meter / 600 seconds * 1,000,000 cubic centimeters
Flow rate = 1,666.67 cubic centimeters per second
Therefore, the flow rate of the garden hose is approximately 1666.67 cubic centimeters per second.
To calculate the flow rate of water through the hose, we need to convert the given measurements into a consistent unit.
First, we need to convert the diameter of the hose from centimeters to meters, as flow rate is commonly measured in meters per second.
Given:
- Diameter of the hose = 2 cm
- Time taken to fill the container = 10 minutes
- Volume of the container = 1000 L
Step 1: Convert the diameter from centimeters to meters.
1 meter = 100 centimeters.
Therefore, 2 cm = 2/100 = 0.02 meters.
Step 2: Convert the time from minutes to seconds.
1 minute = 60 seconds.
Therefore, 10 minutes = 10 x 60 = 600 seconds.
Step 3: Convert the volume of water from liters to cubic meters.
1 cubic meter = 1000 liters.
Therefore, 1000 L = 1000/1000 = 1 cubic meter.
Now that we have all the required conversions, we can calculate the flow rate.
Flow rate = Volume / Time
Flow rate = 1 cubic meter / 600 seconds
To convert cubic meters to cubic centimeters, we multiply by 1,000,000 (since 1 cubic meter = 1,000,000 cubic centimeters). To convert seconds to seconds, we multiply by 1.
Flow rate = 1 x 1,000,000 cubic centimeters / 600 seconds
Simplifying the expression:
Flow rate = 1,000,000 / 600 cubic centimeters per second
Flow rate = 1666.67 cubic centimeters per second (rounded to two decimal places)
Therefore, the flow rate through the garden hose is approximately 1666.67 cubic centimeters per second.