Question

What is the rate at which the water truck is filled in cubic meters per hour when it arrives at the maintenance yard with water still in its tank?

Answer 1

The provided information doesn't directly answer the question about the fill rate of a water truck. To calculate the rate, one would need the volume and the time took to fill the truck. The general formula for calculating flow rate is the volume divided by the time.

Step-by-step explanation:

The question asks about the rate at which a water truck is filled in cubic meters per hour. However, the provided information does not directly answer this question. Instead, we have several examples dealing with flow rates and volumes of water, which are aspects of fluid dynamics, a branch of physics dealing with the movement of fluids. To calculate the rate at which the water truck is filled, one would need to know either the time taken to fill the truck to a certain volume or have the flow rate at which water enters the truck. Then, using the formula for flow rate (volume divided by time), we could find the answer.

For example, if the truck has a capacity of 10 cubic meters and it takes 2 hours to fill, the rate would be 10 cubic meters / 2 hours = 5 cubic meters per hour. Unfortunately, without specific information relating to the water truck in question, a precise answer cannot be provided.

Answer 2

The provided information does not state the filling rate of a water truck explicitly, but examples given are in the realm of fluid dynamics and involve calculating flow rates for various scenarios like filling a pool with a hose or a diverted river.

Step-by-step explanation:

The rate at which a water truck is filled in cubic meters per hour is not directly provided in the given information. However, we can address the related problems about flow rates and filling times outlined in the questions. To begin, let's solve for problem 9a:

1. For a pool capacity of 80,000 L (which is equal to 80 cubic meters) and a garden hose flow rate of 60 L/min (which is 0.060 cubic meters per minute), we can calculate the filling time by dividing the pool capacity by the hose flow rate. This gives us 80 / 0.060 = 1333.33 (recurring) minutes. To convert minutes into hours, we divide by 60, resulting in approximately 22.22 hours.
2. In the case of problem 9b, with a river flow of 5000 m³/s, it would take a mere fraction of a second to fill the pool as this rate is exceedingly large compared to the pool's capacity.

From the other problems, 126 addresses the concept of volume flow rate, 11 and 79 deal with fluid speed and flow rate in a fire hose, and 10 discusses the flow rate from hydroelectric power calculations. Although these examples do not directly answer the original query about the water truck's filling rate, they each involve principles of fluid dynamics and flow rate calculations essential to understanding the physics of fluids in motion. For example, problem 126 helps understand the relationships between hose diameter, water velocity, and flow rate, which could relate to calculating the filling rate of the truck.