A fire hose 5 centimeters in diameter is used to fill a 225-liter bucket. If it takes 15 seconds to fill the bucket, what is the speed at which water is flowing through the hose?
Answer (2)
I believe you ask about speed at the end of the hose:
The volume of the bucket is 225 liters which is equal to 225 d m 3 .
V = 225 d m 3 Hose's cross section can be counted with the typical circle's area formula (with diameter instead of radius, that's why you've got a fraction): A=3,14*\frac{d^{2}}{4}}=0,19625dm^{2}
225 d m 3 are filled within 15 second.
As the bucket is being filled you can say that it's volume is the volume of the water that flowed out of the hose, then: V = A ∗ h The speed of the water can be counted with equation: v = t h After extracting h from the volume's equation you get: v = A ∗ t V When you count the fraction you get the answer: v = 76 , 43 s d m = 0 , 7643 s m
The speed at which water is flowing through the hose is approximately 1.91 m/s. This calculation considers the volume of the bucket, the cross-sectional area of the hose, and the time taken to fill the bucket. By using the formula for speed based on volume divided by area and time, we obtained the result.
;
