Question

cylindrical water bottle of 750 mL was emptied out by tilting it at an angle (as shown below). he time taken for the bottle to get emptied out was as follows. First one third 2.2 seconds Second one third 2.6 seconds Last one third 3 seconds TOTAL time taken 7.8 seconds Which of the following could be a reasonable conclusion from the above data? A The bottle would have emptied out faster if it was held exactly upside down vertically. As the water leaves the bottle, air rushes into the bottle, and it pushes the water out faster. The speed of the water coming out, decreases with time, as the height of the water column above keeps decreasing. If a water bottle of 1.5 litres is emptied out, by keeping it at the same angle, it would take 15.6 seconds to be completely empty ​

Answer 1

The data indicates that the flow rate of water from the bottle decreases over time, likely due to the decreasing water column's height and the role of airflow in water ejection. If held upside down, emptying may be faster, but the time taken to empty a larger volume at the same angle cannot be accurately predicted.

Step-by-step explanation:

A reasonable conclusion from the given data about the rate of emptying a water bottle at an angle is that the rate at which the bottle empties changes over time. This is evidenced by the increasing time taken to empty each subsequent one-third of the bottle's volume, which indicates a decreasing flow rate. The factors contributing to this change in flow rate could include the decreasing water column's height and the interplay between the inflow of air and outflow of water, which together affect the pressure and flow velocity.

Answering the hypothetical scenarios based on the observations:

It is likely that the bottle would have emptied faster if held completely upside down since this would maximize the effect of gravity on the water, potentially providing a constant flow, unlike the variable flow seen when the bottle is tilted.

The second conclusion, regarding doubling the volume of the water while keeping the same emptying angle, cannot be directly inferred from the provided data since flow rates can change nonlinearly due to various fluid dynamics factors.