Make a graph using the measured quantities with radial distance on the x-axis and tangential velocity on the y-axis.
Radial distance= 1.85, 1.40, 1.00, 0.80, 0.60, 0.40
Tangential velocity= 1.03, 1.36, 1.91, 2.38, 3.18, 4.79
1) using your knowledge of graphs, describe the relationship between radial distance and tangential velocity.
I made a graph and my answer was that both the distance and velocity were increasing but my teacher said that this was wrong. Also what is the constant for this graph? My answer was tangential velocity but I think that was wrong too. I am very confused on this topic!
If one takes the data you have typed above, then as distance decreases, velocity increases, which is most different from what you said to your teacher.
Did you graph it?
From looking at the data, I see as distance is halved (.8 to .4), velocity is doubled. Does your graph show that?
velocity=Constant*1/radius
or veloicty*radius=constant
that is the constant you are supposed to be finding.
In a graph of radius, tangential velocity and angular momentum, what shape would be graph be in using the above figures?
To analyze the relationship between radial distance and tangential velocity, you can create a scatter plot graph. Here's how you can do it:
1. Start by creating a set of coordinates using the measured quantities. The radial distance values will go on the x-axis, and the tangential velocity values will go on the y-axis. The coordinates will look like this:
Radial distance (x-axis) = [1.85, 1.40, 1.00, 0.80, 0.60, 0.40]
Tangential velocity (y-axis) = [1.03, 1.36, 1.91, 2.38, 3.18, 4.79]
2. Plot these coordinates on a graph. The x-values represent the radial distances, and the y-values represent the corresponding tangential velocities.
3. Once you have plotted the points, you can observe the overall pattern or trend in the graph. In this case, pay attention to the general shape the points make.
Now, analyzing the relationship between radial distance and tangential velocity:
Based on the graph you created, it seems that there might be a relationship between the two quantities. To describe this relationship, consider the trend in the graph. Look for any patterns such as increasing or decreasing values.
If the graph shows an upward trend, it means that as the radial distance increases, the tangential velocity also increases. Similarly, if there is a downward trend, it means that as the radial distance increases, the tangential velocity decreases.
In your case, you mentioned that both the distance and velocity were increasing. From this, it can be inferred that there is a positive relationship between radial distance and tangential velocity.
Now, as for the constant in the graph, it represents a factor that remains the same throughout the data set. In this case, since the graph represents the relationship between radial distance and tangential velocity, it does not have a constant value. The independent variable (radial distance) is changing, which causes the dependent variable (tangential velocity) to change as well.
Keep in mind, there may be other factors or variables that can affect this relationship. It's always important to consider the context and any additional information related to the data or graph.