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1 year ago

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an open tank has the shape of a right circular cone (see figure). the tank is 8 feet across the top and 6 feet high. how much wo

rk is done in emptying the tank by pumping the water over the top edge? (the weight-density of water is 62.4 pounds per cubic foot.) ft-lb

1 answer:

Liono4ka [1.6K]1 year ago

7 0

The amount of work done in emptying the tank by pumping the water over the top edge is 163.01* 10³ ft-lbs.

Given that, the tank is 8 feet across the top and 6 feet high

By the property of similar triangles, 4/6 = r/y

6r = 4y

r = 4/6*y = 2/3*y

Each disc is a circle with area, A = π(2/3*y)² = 4π/9*y²

The weight of each disc is m = ρw* A

m = 62.4* 4π/9*y² = 87.08*y²

The distance pumped is 6-y.

The work done in pumping the tank by pumping the water over the top edge is

W = 87.08 ∫(6-y)y² dy

W = 87.08 ∫(6y³ - y²) dy

W = 87.08 [6y⁴/4 - y³/3]

W = 87.08 [3y⁴/2- y³/3]

The limits are from 0 to 6.

W = 87.08 [3*6⁴/2 - 6³/3] = 87.08* [9*6³ - 2*36] = 87.08(1872) = 163013.76 ft-lbs

The amount of work done in emptying the tank by pumping the water over the top edge is 163013.76 ft-lbs.

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Answer:

distance = 21.56 m

Explanation:

given data

mass = 50 kg

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solution

we know here acceleration will be as

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2 years ago

A 5-kg ball collides inelastically head-on with a 10-kg ball, which is initially stationary. Which of the following statements i

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Answer:

The magnitude of the change of velocity the 5-kg ball experiences is less than that of the 10-kg ball.

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5 kg ball is in motion, while 10 kg ball is stationary; that is zero velocity.

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Next possible options are in kinetic Energy

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b)

The gravitational force on an object is the force with which the object is pulled towards the ground by the Earth.

It is given by

$W=mg$

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m is the mass of the object

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In order to find the magnitude of this force, we apply Newton's second law of motion along the vertical direction.

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Answer:

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Theory on the other hand are set of written statement which is more generalized and aimed to explain the phenomenon. Theory is developed through the process of abstraction, experimentation, and deduction.

A model is often is used to describe an application of a theory for a specific case.

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