how do you plot T2 2.14, 2.10, 2.08, 2.03, 2,20 and 2.30 and length .445, .54m, .497m, .50m, .53m and .555m on a graph and how do you find the gradient
To plot T2 against length on a graph and determine the gradient, you will need the following steps:
1. Create a scatter plot with T2 values on the y-axis and length values on the x-axis.
2. Label the y-axis as T2 and the x-axis as length.
3. Plot the points (2.14, 0.445), (2.10, 0.54), (2.08, 0.497), (2.03, 0.50), (2.20, 0.53), and (2.30, 0.555) on the graph. Ensure each point corresponds to its respective T2 and length value.
4. Connect the points with a line to visualize the relationship between T2 and length.
5. Calculate the gradient, which represents the slope of the line connecting the plotted points.
To find the gradient:
1. Select two points on the line connecting the plotted points.
2. Determine the change in T2 and the change in length between these two points.
3. Use the formula for calculating the gradient of a straight line: Gradient = (change in T2) / (change in length).
4. Substitute the corresponding values from the two points into the formula to calculate the gradient.
For example, let's choose the two points (2.10, 0.54) and (2.08, 0.497):
Change in T2 = 2.08 - 2.10 = -0.02
Change in length = 0.497 - 0.54 = -0.043
Gradient = (-0.02) / (-0.043) ≈ 0.465
Therefore, the gradient of the line connecting these two points is approximately 0.465.