Think Different!

Image Image

A middle or high school science teacher gave his students this scenario: you’re standing by a tall building, and you need to find out about how tall it is. All you have available is a barometer. How can you use that to find out how tall the building is?

The “proper” answer, of course, was to measure the pressure on the ground, and at the top floor (or roof, if you could get to it) of the building, and use the formula for air pressure reduction by altitude to get the altitude of the roof and thus height of the building.

But one of his students decided to “smart off” and said, “Drop the barometer from off the top of the building, and time how long it takes to hit the ground. Plug that into the formula for gravitational acceleration.”

They gave him a re-test. This time he answered, "Climb up the outside of the building, measuring the height in barometer-lengths ..." They stopped him. "No, no, that won't do!"

He said, "Approach the building superintendent and say, 'If you'll tell me the height of this building, I'll give you this expensive baromater." Again, they said, "No! You must give a scientific use of the barometer.

This time he answered, "Tie a string to the baromater. At the top of the building, measure the period of the pendulum. Do that same at the bottom of the building. From the difference we can calculate the height."

They said, "That's not what we want." He said, "Tell me what you want." And they found that they couldn't answer him without giving away the answer.

He had one method. "Measure the barometer's shadow. Measure the building's shadow. From similar triangles, we can calculate the height of the building."

They gave up and gave him back the points.

One can read this as a joke but then again you can think of it to be an inspiration to think different.

#Mechanics #ThinkingOutOfTheBox #JustForFun

Note by Agnishom Chattopadhyay
6 years, 11 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

This smart off student is actually Bohr

Oussama Boussif - 6 years, 9 months ago

This is not any high school story but most probably Rutherford had asked this to Bohr and he had said that he had 13 different answers and asked Rutherford which one he wanted?

Tushar Gopalka - 6 years, 8 months ago

Simply Amazing!!

Dhruv Bhasin - 6 years, 9 months ago

Regarding the 1st reply,since it is not vaccum around the building when the barometer is dropped due to air resistance it will not undergo the exact gravitational acceleration and thus time it will take to reach the ground will be more than actual ,so the height will also not come actual. Regarding the another reply,Is it sure that the building superintendent will tell the right height. Pendulum one,again it is not an ideal simple pendulum. Shadow one,if it is a rainy day,then. But really it was a good inspiration to think differently.

Siddharth Singh - 6 years, 3 months ago

What can i say !

Hassan Yousaf - 5 years, 10 months ago
×

Problem Loading...

Note Loading...

Set Loading...