Velocity of water from a hose using projectile motion experiment

In summary, Ben is conducting an experiment to determine the velocity of a hose when fully turned on using projectile motion. He projected the hose at different angles and recorded the time of flight and horizontal range. Using the equation horizontal range = v * cos θ * t, he calculated the total velocity of the water to be 6.392830414 m/s.
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Ben1
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Homework Statement


I'm doing an experiment where I'm trying to determine the velocity of a hose when fully turned on using projectile motion. I projected the hose at different angles (15,30,45,60,75,90 degrees) doing 3 tests on each 1. Here is an example I made with the a set of results -

At an angle of 15 degrees from the ground, a hose is turned on. It has a time of flight of 0.4 seconds and a horizontal range of 2.47 meters.



Homework Equations


horizontal range = v * cos θ * t



The Attempt at a Solution


Horizontal range = v * cos θ * t
2.47 = v * cos 15 * 0.4
v = 2.47 ÷ (cos 15 * 0.4) = 6.392830414 m/s

Is this the TOTAL velocity of the water coming from the hose?
 
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  • #2
hi Ben, welcome to physicsforums :) yep, that's right, v is the total magnitude of the velocity of water coming from the hose. That's why you used the cos θ to get the horizontal component.
 

What is the purpose of conducting a projectile motion experiment with a water hose?

The purpose of conducting a projectile motion experiment with a water hose is to study the motion of an object (in this case, water) as it is launched into the air and moves in a curved path due to the force of gravity. This experiment can help us understand the principles of projectile motion and how different factors, such as initial velocity and angle of launch, affect the trajectory of the object.

What equipment is needed to conduct a projectile motion experiment with a water hose?

To conduct a projectile motion experiment with a water hose, you will need a water hose, a flat surface to set up the experiment (such as a field or a large table), a measuring tape or ruler, a protractor to measure angles, and a stopwatch or timer to record the time of flight. You may also want to have a container to catch the water and a camera to capture the motion of the water in action.

How can the initial velocity of the water be measured in a projectile motion experiment with a water hose?

The initial velocity of the water can be measured by using a measuring tape or ruler to mark the starting point of the water as it leaves the hose. Then, use the stopwatch or timer to measure the time it takes for the water to travel a certain distance (such as 1 meter). The initial velocity can be calculated by dividing the distance by the time elapsed.

What factors can affect the velocity of water from a hose in a projectile motion experiment?

The velocity of water from a hose in a projectile motion experiment can be affected by several factors. These include the initial velocity of the water, the angle at which the water is launched, air resistance, and other external forces such as wind. The size and shape of the hose, as well as the pressure of the water, can also impact the velocity of the water.

How can the data from a projectile motion experiment with a water hose be used in real-world applications?

The data collected from a projectile motion experiment with a water hose can be used in various real-world applications. For example, understanding the principles of projectile motion can help engineers design and improve the trajectory of objects launched from catapults or rockets. It can also be applied in sports, such as understanding the trajectory of a ball in soccer or basketball. Additionally, this knowledge can be used in fields such as ballistics, space exploration, and even in understanding the motion of fluids in pipelines and water systems.

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