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Question regarding density and circular motion

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I did not understand the answer. The question gives us the density of air, thus we have to calculate the volume of air right - to find the mass.

But what the answer does is that it finds the circular area, sure makes sense, but then it goes and multiplies it with the product of v*t. I do not understand this, isn't 's' found from this equation on the same plane as that of the area of the circle?

Reply 1

Original post
by tigrispanthera
1760951907_grim.png1760952007_grim.png

I did not understand the answer. The question gives us the density of air, thus we have to calculate the volume of air right - to find the mass.

But what the answer does is that it finds the circular area, sure makes sense, but then it goes and multiplies it with the product of v*t. I do not understand this, isn't 's' found from this equation on the same plane as that of the area of the circle?


You can imagine that when the propeller rotates, it sweeps out a volume of air in a cylindrical form that "looks" like the diagram below.
So the volume of air is a volume of cylinder.

v \times \Delta t is to find the "height" of the cylinder.



Reply 2

It seems that comprehension is a recurring issue I have, I figured it out on my own later that they meant the propeller only and not the circular movement of the entire plane.

Gotta read each question thrice at least I guess 😅

Thank you for this regardless, I would upvote you, but the site won't allow me to upvote you again without upvoting a few others.

Reply 3

Original post
by tigrispanthera
It seems that comprehension is a recurring issue I have, I figured it out on my own later that they meant the propeller only and not the circular movement of the entire plane.

Gotta read each question thrice at least I guess 😅

Thank you for this regardless, I would upvote you, but the site won't allow me to upvote you again without upvoting a few others.


It is more important that you have figured out. :smile:

Good luck for your A level Physics exam.

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