Physics Test Mystery: Paper Flight Through Bernoulli's Theorem

AI Thread Summary
Blowing over a piece of paper creates a high-pressure area in the mouth and releases air, but this does not effectively demonstrate Bernoulli's theorem. The theorem states that increased air velocity above the paper leads to decreased pressure, which should lift the paper. However, the discussion highlights that gravity and static air pressure keep the paper grounded, making it difficult to achieve vertical motion. An alternative demonstration suggests holding two sheets of paper vertically and blowing between them, which may better illustrate the principles of Bernoulli's theorem. This approach emphasizes the complexity of applying Bernoulli's theorem in practical scenarios.
sid_galt
Messages
502
Reaction score
1
I got this question on my physics test

"What will happen if you blow over a piece of paper?"

I answered that with enough blowing, the wind created would make the paper fly off. Apparently according to my teacher, the correct answer was that from Bernouilli's theorem, the air velocity above the paper will increase, the pressure will decrease and the paper will rise up.

But how is that possible? Bernoulli's theorem applies only to a moving fluid whose speed is increased by decreasing the cross sectional area. In blowing, we are creating a high pressure inside the mouth and then releasing the air. The static pressure of the air remains the same all the time. Besides, a paper is held down due to gravity and air pressure. To lift a paper by creating low pressure on top of it would require quite a lot of low pressure plus quite a bit of normal pressure air below the paper.
 
Physics news on Phys.org
sid_galt said:
I got this question on my physics test

"What will happen if you blow over a piece of paper?"

I answered that with enough blowing, the wind created would make the paper fly off. Apparently according to my teacher, the correct answer was that from Bernouilli's theorem, the air velocity above the paper will increase, the pressure will decrease and the paper will rise up.

But how is that possible? Bernoulli's theorem applies only to a moving fluid whose speed is increased by decreasing the cross sectional area. In blowing, we are creating a high pressure inside the mouth and then releasing the air. The static pressure of the air remains the same all the time. Besides, a paper is held down due to gravity and air pressure. To lift a paper by creating low pressure on top of it would require quite a lot of low pressure plus quite a bit of normal pressure air below the paper.

Tried blowing over a piece of paper?
 
yeah. no effect except that the paper gets pushed across the table. But no vertical motion.
 
That's a crummy way to demonstrate Bernoulli, since you can blow away the paper. Try it like this:
Hold a piece (~A4) of paper in each hand vertically next to each other, about 5 cm apart. Hold them at the top with the long side down. Now blow a strong, steady column of air (taut your lips) between the sheets. What will happen according to Bernoulli?
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

Similar threads

Replies
30
Views
4K
Replies
34
Views
3K
Replies
31
Views
4K
Replies
1
Views
2K
Replies
44
Views
10K
Replies
3
Views
2K
Back
Top