Finding an angle of trajectory from a tangential launch.

In summary, the conversation discusses using the equations 1/2mv^2, mgh, and basic kinematics equations to solve for the velocity and launch angle of a ball being launched from a track. The launch angle is the angle the velocity makes with the horizontal and is perpendicular to the radius of the circular track. The x-axis is set as the ground and the height is set to 0 at the moment before the launch. The person is having trouble determining the launch angle and is seeking help.
  • #1
Jae
10
0

Homework Statement


ballLaunch.PNG


Homework Equations


1/2mv^2, mgh, and basic kinematics equations

The Attempt at a Solution


I set the height = 0 at moment before the launch.

To get the velocity, I used:
energy before the ball starts accelerating (PE) = energy right before the ball leaves the ark (KE)

I'm stuck on Part B, because I'm having trouble getting the angle of the launch.
I set the x-axis as the ground.

Thank you for your help.
 
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  • #2
The launch angle is the angle the velocity encloses with the horizontal. And you know, that the velocity is tangent to the track. You also know that the velocity around a circular track is perpendicular to the radius.
launchangle.JPG
 

FAQ: Finding an angle of trajectory from a tangential launch.

1. How do you calculate the angle of trajectory from a tangential launch?

To calculate the angle of trajectory from a tangential launch, you need to know the initial velocity and the initial height of the object. Then, you can use the formula tanθ = (v^2/gx), where θ is the angle of trajectory, v is the initial velocity, g is the acceleration due to gravity, and x is the horizontal distance traveled.

2. What is a tangential launch?

A tangential launch is when an object is launched at an angle that is tangent to the curved path of its trajectory. This type of launch is often used in projectile motion experiments or when launching objects into orbit.

3. Does air resistance affect the angle of trajectory from a tangential launch?

Yes, air resistance can affect the angle of trajectory from a tangential launch. The amount of air resistance depends on the shape and speed of the object, and it can cause the object to deviate from its intended trajectory.

4. Can the angle of trajectory from a tangential launch be changed?

Yes, the angle of trajectory from a tangential launch can be changed by adjusting the initial velocity or the launch angle. A higher initial velocity or a lower launch angle will result in a longer and flatter trajectory, while a lower initial velocity or a higher launch angle will result in a shorter and steeper trajectory.

5. What are some real-world applications of finding the angle of trajectory from a tangential launch?

The ability to calculate the angle of trajectory from a tangential launch has many practical applications, such as in sports like golf and baseball, where players need to calculate the trajectory of their shots. It is also important in engineering and physics, where understanding projectile motion is crucial in designing and predicting the behavior of objects in motion.

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