All Questions
9
questions
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votes
0
answers
45
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Cavalieri's Principle in volume calculation
In petroleum engineering, for easier calculation of the volume underlying a specific surface underground, the irregular surfaces are modeled by an equivalent surface with circular cross sections, ...
4
votes
1
answer
387
views
I've never been so confused (Application of Integral Calculus)
Here's a problem on Application of Integral calculus to find the work done in moving a particle. I was able to 'reach' the 'right answer'. But I'm totally confused and utterly dissatisfied with the ...
- 1,156
1
vote
0
answers
49
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Physical significance of 3rd derivative [duplicate]
I am new to calculus and currently learning differentiation. I understood that the first derivative indicates the slope of the function and the second derivative indicates the rate at which the slope ...
- 647
0
votes
1
answer
46
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Solving time derivative of glycogen dynamics: $17.6{dG\over dt} = 2000 - 13G^2$ [closed]
Can I find G, glycogen level at time t=5, if glycogen dynamics are described by the following derivative:
$$17.6{dG\over dt} = 2000 - 13G^2$$
It's been a long time since I've messed with derivatives ...
- 1
0
votes
1
answer
4k
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Amount of work required for pulling rope problem
50 m rope with 8 millimeters in diameter is dangling from an edge. density of rope =40 g/m. how much work to pull it up to edge?
// I've seen different variations of this problem, but I am unsure of ...
- 129
0
votes
1
answer
92
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A tank is part of a cone with a 10 foot radius on top, 4 foot radius on bottom 12 feet below the top Water in the tank has depth 5 feet
A tank is part of a cone with a 10 foot radius on top and a 4 foot radius on bottom, 12
feet below the top. Water in the tank has depth 5 feet.
Provide an integral for the work
done pumping the water ...
- 9
2
votes
2
answers
1k
views
Prove $v = \sqrt{\frac{2gRh}{R + h}}$ from Given (below)
Given:
$$F = \frac{mgR^2}{(x + R)^2}$$
$m = \text{mass}$
$g = \text{Acceleration due to gravity}$
$x = x(t)$ is the object's distance above the surface at time $t$.
I believe this is the ...
- 141
1
vote
1
answer
7k
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Hydrostatic force problem with trapezoids?
If I have a trapezoid with a $4$m and $8$m base that is partly submerged vertically in water so that the top is $2$m above the surface and the bottom is $2$m below the surface; how do I express the ...
- 575
0
votes
1
answer
4k
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UNRESOLVED: Pushing oil out of a tank using work integration
I have a tank of oil with a density of $900\frac{kg}{m^3}$. My tank has a spout that is $2$ meters tall and the general radius of the tank is $6$ meters. It is half full of oil and I want to find the ...
- 575