Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Conservation of Energy
In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…
Question
  1. Show your calculation for the method 2 velocity. Explain how it compared to the reading from your velocity vs. time graph.

 

 

 

between the these times use the equation: At = 6.0 s – 5.0 s. In the same way, you should be able to calculate the displacements. Now you will need to calculate the average velocity within the time interval: The equation Ax 6 т for average velocity is: ū =. ū = 1s In this example case we have: i At Find the time that is best associated with the average velocity you calculated in the time interval. For example, in the interval between the times, what is the time that the cart most likely had an instantaneous velocity equal to the average velocity in that interval? It is the time in the middle between the 1st and 2nd time. The time directly in the middle between them can be calculated by using the equation for middle or average values: t1 + t2 tmiddle 2 5.0 s + 6.0 s tmiddle 2 tmiddle = 5.5 s Therefore, using this method, an instantaneous velocity of v = 6.0“ is best associated with the time instant t = 5.5 s. The slope of the tangent line at this time should be the same value as this calculated velocity. Using the data from your table include the following as part of your analysis: Select two data points from your table. Make them adjacent points. Show your calculation to find the average velocity between these points. Show your calculation to find the mid-time, the time when the car has an instantaneous velocity the same as the average you calculated. Use your velocity vs time graph and how the value of the velocity at the mid-time from the best-fit line. Compare the calcuation with the graph reading at the mid-time.
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Transcribed Image Text:between the these times use the equation: At = 6.0 s – 5.0 s. In the same way, you should be able to calculate the displacements. Now you will need to calculate the average velocity within the time interval: The equation Ax 6 т for average velocity is: ū =. ū = 1s In this example case we have: i At Find the time that is best associated with the average velocity you calculated in the time interval. For example, in the interval between the times, what is the time that the cart most likely had an instantaneous velocity equal to the average velocity in that interval? It is the time in the middle between the 1st and 2nd time. The time directly in the middle between them can be calculated by using the equation for middle or average values: t1 + t2 tmiddle 2 5.0 s + 6.0 s tmiddle 2 tmiddle = 5.5 s Therefore, using this method, an instantaneous velocity of v = 6.0“ is best associated with the time instant t = 5.5 s. The slope of the tangent line at this time should be the same value as this calculated velocity. Using the data from your table include the following as part of your analysis: Select two data points from your table. Make them adjacent points. Show your calculation to find the average velocity between these points. Show your calculation to find the mid-time, the time when the car has an instantaneous velocity the same as the average you calculated. Use your velocity vs time graph and how the value of the velocity at the mid-time from the best-fit line. Compare the calcuation with the graph reading at the mid-time.
Method 2 using information from the data table: Calculating the average velocity between two values of position and time. time (sec) Position (m) Notice that the header is not complete. Do you know what is missing? Example Be sure to make the 5.0 11.0 Calculation headers in your table 6.0 17.0 complete. Here is an example using two position/time data points to calculate the velocity at the mid-time. Calculate the time interval. For example, to calculate the time interval
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Transcribed Image Text:Method 2 using information from the data table: Calculating the average velocity between two values of position and time. time (sec) Position (m) Notice that the header is not complete. Do you know what is missing? Example Be sure to make the 5.0 11.0 Calculation headers in your table 6.0 17.0 complete. Here is an example using two position/time data points to calculate the velocity at the mid-time. Calculate the time interval. For example, to calculate the time interval
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