Projectile corrections due to the coriolis effect

In summary, the problem involves a projectile being launched at an angle above the horizontal from a cliff and striking a distance from its base. The goal is to determine the projectile's maximum height, neglecting air resistance and Coriolis effect. To solve this, one should first express the initial speed in terms of the given variables and then experiment with different approaches to find a solution.
  • #1
tarletontexan
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Homework Statement


a projectile is launched at an angle [tex]\alpha[/tex] above the horizontal, from the top of a vertical cliff of height h above the ocean. It strikes a distance d from teh base of the cliff. Show that its maximum height is given by H2 +(d2/4)tan2[tex]\alpha[/tex]/(H+d tan[tex]\alpha[/tex]) neglecting air resistance and Coriolis effect


Homework Equations





The Attempt at a Solution


Hint: First express the initial speed in terms of the givens, i believe this to be V initial2/g since that gives you a distance. Just don't know what else to do
 
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  • #2
The problem says to ignore coriolis effect. There's lots of ways to do this problem, so the best thing is for you to start experimenting with your own approach and then let us know where you get stuck.
 

1. What is the Coriolis effect?

The Coriolis effect is a phenomenon caused by the rotation of the Earth. It causes objects that are moving over long distances in a straight line to appear curved.

2. How does the Coriolis effect affect projectiles?

The Coriolis effect causes projectiles to appear to veer off course due to the rotation of the Earth. This is because the Earth's rotation creates a difference in the linear velocity of the projectile at different points along its path.

3. How do you calculate projectile corrections due to the Coriolis effect?

To calculate the corrections due to the Coriolis effect, you need to know the initial velocity, the time of flight, the latitude of the launch site, and the direction of the projectile relative to the Earth's rotation. Using these values, you can use the Coriolis formula to determine the necessary corrections.

4. What are the practical applications of considering the Coriolis effect in projectile motion?

The Coriolis effect is important to consider in long-range shooting, such as in military or sports applications. It can also affect the trajectory of rockets and satellites launched into orbit.

5. Is the Coriolis effect significant for all types of projectiles?

The Coriolis effect is most significant for long-range projectiles traveling at high velocities, such as bullets or missiles. It is less noticeable for slower-moving objects, such as thrown balls or arrows.

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