Change in Velocity Homework Solution

In summary, the question is asking for the change in vector velocity of water passing through a pipe at a steady speed of 1.5. The equation for this is V1-V2=Change in Velocity, where V1 is the entry velocity and V2 is the exit velocity. To solve, you need to express both velocities as vectors in xy coordinates and then subtract the two vectors component by component.
  • #1
lil08
1
0

Homework Statement



Water enters and leaves a pipe as shown at a steady speed of 1.5. Find the change in velocity.

http://kv8v6q.blu.livefilestore.com/y1pjsZ-s4z6_sTZEgW2-nsZ8pf1YrZml2cqcsXxgwnDNbUzFlaPXJcSe_nX93qAi6xd_Z7BATO9oBNXPDbxrGoJHEkk6WbzV3wR/0.bmp


Homework Equations



V1-V2=Change in Velocity


The Attempt at a Solution



I need to draw the resultant. What next?
 
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  • #2
lil08 said:

Homework Statement



Water enters and leaves a pipe as shown at a steady speed of 1.5. Find the change in velocity.

http://kv8v6q.blu.livefilestore.com/y1pjsZ-s4z6_sTZEgW2-nsZ8pf1YrZml2cqcsXxgwnDNbUzFlaPXJcSe_nX93qAi6xd_Z7BATO9oBNXPDbxrGoJHEkk6WbzV3wR/0.bmp


Homework Equations



V1-V2=Change in Velocity


The Attempt at a Solution



I need to draw the resultant. What next?

Welcome to the PF. I believe that they want you to calculate the change in vector velocity. So express the entry velocity as a vector in xy coordinates, and the exit velocity in xy coordinates. The difference is just the subtraction of the two vectors, carried out with components.
 
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  • #3


I would approach this problem by first identifying the relevant equations and variables. The relevant equation in this case would be the equation for change in velocity, which is V1-V2=Change in Velocity. The variables would be V1 and V2, which represent the initial and final velocities of the water, respectively.

Next, I would use the given information of the water entering and leaving the pipe at a steady speed of 1.5 to substitute into the equation. Since the water is entering and leaving at the same speed, V1=V2=1.5. Substituting these values into the equation, we get 1.5-1.5=Change in Velocity. Therefore, the change in velocity is 0.

This means that there is no change in velocity for the water entering and leaving the pipe at a steady speed of 1.5. This is because the water is entering and leaving at the same speed, so there is no acceleration or deceleration, and therefore no change in velocity.

In conclusion, the change in velocity for the water entering and leaving the pipe at a steady speed of 1.5 is 0. This solution can also be verified by drawing the resultant vector, which would show that the magnitude and direction of the velocity remains constant.
 

What is change in velocity?

Change in velocity refers to the rate at which an object's speed and/or direction is changing. It is a vector quantity that takes into account both the magnitude and direction of the change.

How is change in velocity calculated?

Change in velocity is calculated by subtracting the initial velocity from the final velocity. This can be represented as Δv = vf - vi, where Δv is the change in velocity, vf is the final velocity, and vi is the initial velocity.

What is the difference between average and instantaneous change in velocity?

Average change in velocity is the overall change in velocity over a certain period of time, while instantaneous change in velocity is the change in velocity at a specific moment in time. Average change in velocity is calculated by dividing the total change in velocity by the total time, while instantaneous change in velocity is calculated by taking the derivative of the object's position with respect to time.

What factors can cause a change in velocity?

A change in velocity can be caused by any force acting upon an object, such as gravity, friction, or a push or pull. It can also be caused by a change in direction, such as turning a corner or changing lanes while driving.

Why is change in velocity important?

Change in velocity is an important concept in physics because it helps us understand how objects move and interact with each other. It is a crucial component in studying acceleration, which is the rate of change in velocity over time. Change in velocity is also essential in calculating the momentum and kinetic energy of objects.

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