Determing components of a projectile from ferquency

In summary, given a graph with 5 squares along the x-axis and 8 squares along the y-axis, with each square 10x10 cm, depicting the motion of a projectile entering the graph after accelerating down a curved ramp and up again, with a stroboscopic photograph taken at a frequency of 12.5 Hz, the task is to find the horizontal component of the projectile as it leaves the track. To do this, one must determine the time between flashes, Δt, and the change in distance between images, Δx, on the grid. With this information, the horizontal velocity of the projectile can be estimated using the equation Δx/Δt.
  • #1
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I have been given a graph with 5 squares along the x-axis and 8 squares along the y-axis, with each square 10x10 cm.

The graph shows the motion of a projectile entering the graph after accelerating down a curved ramp and up again. The graph is a stroboscopic photograph of the projectile.

The question wants me to find the horizontal component of the projectile as it leaves the track.


Homework Equations



I tells me the frequency of the stroboscope is 12.5 Hz and each square on the grid represents 10x10cm

The answer is 0.625ms

The Attempt at a Solution



I am baffled as to what to do. I know that frequency= lambda/s.

Also that I could label each square 0.1, 0.2 and so on but it still is not helping me how to work out the horizontal velocity component.

Any help please to point me in the right direction would be appreciated.
 
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  • #2
If the frequency of the strobe is 12.5 Hz, what is the time between flashes?

If you know the time between flashes then you also know the time between images of the projectile. Call it Δt. The grid allows you to measure the change in distance from image to image, in both the X and Y directions. Call them Δx and Δy.

How might you estimate the horizontal velocity of the projectile given Δx and Δt?

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FAQ: Determing components of a projectile from ferquency

How is frequency used to determine the components of a projectile?

The frequency of a projectile refers to the number of times it completes a full cycle of motion in a given time period. By measuring the frequency of a projectile's motion, we can calculate its velocity, acceleration, and other components of its trajectory.

What is the relationship between frequency and velocity in a projectile?

The higher the frequency of a projectile's motion, the greater its velocity will be. This is because a higher frequency indicates that the projectile is completing more cycles of motion in a given time period, which means it is covering more distance in that time.

3. Can frequency be used to determine the direction of a projectile's motion?

No, frequency alone cannot determine the direction of a projectile's motion. Other factors such as the angle of launch and air resistance also play a role in the direction of a projectile's trajectory. However, frequency can help us calculate the overall speed and distance of the projectile.

4. Are there any limitations to using frequency to determine projectile components?

Yes, there are limitations to using frequency as the sole method for determining projectile components. This method assumes that the projectile is moving in a predictable and consistent motion, without any external forces acting on it. In reality, there are often external factors that can affect the motion of a projectile, making it more difficult to accurately determine its components using frequency alone.

5. How can we use frequency to improve our understanding of projectile motion?

By analyzing the frequency of a projectile's motion, we can gain insights into its speed, acceleration, and overall trajectory. This information can be useful in various fields, such as engineering, sports, and physics, to improve our understanding of projectile motion and make predictions about its behavior in different scenarios.

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