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Tomtit [17]
3 years ago
7

A section of uniform pipe is bent into an upright U shape and partially filled with water, which can then oscillate back and for

th in simple harmonic motion. The inner radius of the pipe is r = 0.011 m. The radius of curvature of the curved part of the U is R = 0.15 m. When the water is not oscillating, the depth of the water in the straight sections is d = 0.21 m.
Write an expression for the mass of water in the tube, in terms of the defined quantities and the density of water, rho. Use the approximation r«R.

Physics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

The expression is shown in the picture below

Explanation:

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Let us say that x is the cut that we will make on the sides to make a box, therefore the new dimensions are:

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It is 2x since we cut on two sides.

 

We know that volume is:

V = l w x

V = (15 – 2x) (8 – 2x) x

V = 120x – 30x^2 – 16x^2 + 4x^3

V = 120x – 46x^2 + 4x^3

 

Taking the 1st derivative:

dV/dx = 120 – 92x + 12x^2

 

Set dV/dx = 0 to get maxima:

120 – 92x + 12x^2 = 0

 

Divide by 12:

x^2 – (92/12)x + 10 = 0

(x – (92/24))^2 = -10 + (92/24)^2

x - 92/24 = ±2.17

x = 1.66, 6

We cannot have x = 6 because that will make our w negative, so:

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So the largest volume is:

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V = 120(1.66) – 46(1.66)^2 + 4(1.66)^3

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Use examples to explain how the geosphere interacts with two other of Earth's spheres. Explain the interaction for each using co
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The geosphere interacts with the hydrosphere when water causes rock to erode. The atmosphere provides the geosphere with heat and energy for erosion, and the geosphere reflects the sun's energy back into the atmosphere.

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How do I find the approximate velocity of "the object", on the graph at 5 seconds?
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A thin hoop is hung on a wall, supported by a horizontal nail. The hoop's mass is M=2.0 kg and its radius is R=0.6 m. What is th
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Answer:

Explanation:

Given that,

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Radius of the hoop

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