To answer the following questions, refer back to the table of braking specifications that you saw earlier
Question:
To answer the following questions, refer back to the table of braking specifications that you saw earlier in this lesson.It is reproduced here for reference:
Area of small cylinder (cm2)AS | Area of large cylinder (cm2)A | Force applied to small cylinder (N)FS | Force applied to large cylinder (N) FL | Mechanical Advantage MA |
8.0 | 60 | 60 | 4.5 10 | 7.5 |
6.0 | 60 | 60 | 3.6 10 | 10.0 |
4.0 | 60 | 60 | 9.0 10 | 15.0 |
4.0 | 80 | 60 | 12.0 10 | 20.0 |
4.0 | 100 | 60 | 15.0 10 | 25.0 |
4.0 | 120 | 60 | 18.0 10 | 30.0 |
A. Looking at the first column in the table showing the values ofAS.
a) What is the pattern of change for the area of the smaller cylinder from the first row to the last row?
b) What happens to the larger cylinder's area while the smaller cylinder's area is changing? What does this imply?
c) What happens toFLand MA asASchanges?
d) What conclusion can you make about ways to increase mechanical advantage by modifyingAS?
B. Examine the second column in the table showing the values ofAL.
a)What is the pattern of change for the area of the larger cylinder from the first row to the last row?
b)What happens to the smaller cylinder's area while the larger cylinder's area is changing? What does this imply?
c)What happens toFLand MA asALchanges? d)What conclusion can you make about ways to increase mechanical advantage by modifyingAL?
C. Which pair of cylinders (or row in the table) would you choose in designing the most powerful braking system?
D. Is it advisable to use braking systems that maximizeFLfor all cars?Explain your reasoning.