Title: Pulleys, Forces and Distances
Introduction:
Pulleys have been around for hundreds of years. The ancient Greeks even had pulleys. Pulleys have been around so long that nobody knows when they were invented.
Pulleys are used for:
- Ships for lifting cargo and sails
- Lifting heavy things
- Changing the direction of the pull
- Lifting logs and other heavy stuff
- On cranes for lifting heavy building materials
Question:
Why are pulleys useful?
Hypothesis:
I think that pulleys will make a big difference when I lift something.
Experiment:
Part A: Simple Pulley Force
Part B: Simple Pulley Distance
Part C: Double Pulley Force
Part D: Double Pulley Distance
Equipment Used:
- two 1000 gram spring scales
- one single pulley
- one double pulley
- 10 feet of nylon rope
- a test fixture frame
Results:
Part A: Forces when using a simple pulley.
| W1 | W2 | W2÷W1 |
|---|---|---|
| 100 g | 200 g | 2.0 |
| 200 g | 400 g | 2.0 |
| 300 g | 600 g | 2.0 |
| 400 g | 800 g | 2.0 |
We also put a scale to measure the other force (W3) pulling down.
| W1 | W3 | W3+W1 | W2 |
|---|---|---|---|
| 100 g | 100 g | 200 g | 200 g |
| 200 g | 200 g | 400 g | 400 g |
| 300 g | 300 g | 600 g | 600 g |
| 400 g | 400 g | 800 g | 800 g |
| 400 g | 400 g | 800 g | 800 g |
This means that the two forces pulling down together (W1 and W3) equals the force pulling up (W2) or W1 + W3 = W2. And W1 and W3 are equal, so 2 times the force pulling down equals the force pulling up!
Part B: Distances when using a simple pulley.
| D1 | D2 | D1÷D2 |
|---|---|---|
| 0 cm | 0 cm | 0.0 |
| 10 cm | 9.5 cm | 1.1 |
| 20 cm | 9.5 cm | 1.1 |
| 30 cm | 9.5 cm | 1.1 |
Part C: Forces when using a double pulley.
| W1 | W2 | W2÷W1 |
|---|---|---|
| 100 g | 200 g | 2.0 |
| 200 g | 400 g | 2.0 |
| 300 g | 700 g | 2.3 |
| 400 g | 900 g | 2.3 |
Part D: Distances when using a double pulley.
| D1 | D2 | D1÷D2 |
|---|---|---|
| 0 cm | 0 cm | 0.0 |
| 10 cm | 3.2 cm | 3.1 |
| 20 cm | 3.2 cm | 3.1 |
| 30 cm | 3.4 cm | 2.9 |
What I Learned (Conclusion):
I learned that pulleys can lift heavier things that we can’t. You can also use pulleys to change the direction of the pull. In Part C we can pick twice as much weight. But we have to pull three times as much rope.
References
http://nerds.unl.edu/pages/preser/sec/skills/Pulley/_private/introduction.htm
I explained the idea of decimal fractions to Amelia: that 1/4 = 0.25, 1/2 = 0.50 and 3/4 = 0.75. Just like a quarter (coin) = 25 pennies, a half-dollar (coin) = 50 pennies and 3 quarters = 75 pennies.
I also explained the idea that any letter can be a symbol for a number, like W1 can mean the force pulling down and can be equal to different numbers like: 100, 200, 300 or 400.