Answer:
W = 1.06 MJ
Explanation:
- We will use differential calculus to solve this problem.
- Make a differential volume of water in the tank with thickness dx. We see as we traverse up or down the differential volume of water the side length is always constant, hence, its always 8.
- As for the width of the part w we see that it varies as we move up and down the differential element. We will draw a rectangle whose base axis is x and vertical axis is y. we will find the equation of the slant line that comes out to be y = 0.5*x. And the width spans towards both of the sides its going to be 2*y = x.
- Now develop and expression of Force required:
F = p*V*g
F = 1000*(2*0.5*x*8*dx)*g
F = 78480*x*dx
- Now, the work done is given by:
W = F.s
- Where, s is the distance from top of hose to the differential volume:
s = (5 - x)
- We have the work as follows:
dW = 78400*x*(5-x)dx
- Now integrate the following express from 0 to 3 till the tank is empty:
W = 78400*(2.5*x^2 - (1/3)*x^3)
W = 78400*(2.5*3^2 - (1/3)*3^3)
W = 78400*13.5 = 1058400 J
Wireless sensor networks
Explanation:
Networks of interconnected wireless devices that are embedded into the physical environment to provide measurements of many points over a large spaces are called Wireless sensor networks.
They are very useful in obtaining real-time data and information about every day life.
- The internet of things greatly relies on the use of wireless sensor networks in devices and gadgets to better and improve life.
- They are constantly in use by various organizations and bodies.
- Wireless sensor networks can be designed to collect specific scientific data or even more.
learn more:
Connecting IoT devices brainly.com/question/11028028
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To solve this problem it is necessary to apply the concepts related to Kinetic Energy, specifically, since it is a body with angular movement, the kinetic rotational energy. Recall that kinetic energy is defined as the work necessary to accelerate a body of a given mass from rest to the indicated speed.
Mathematically it can be expressed as,
Where
I = Moment of Inertia
Angular velocity
Our values are given as
A revolution is made every 4.4 seconds.
If the angular velocity is equivalent to the displacement over the time it takes to perform it then
Replacing at our previous equation we have,
Therefore the kinetic energy is equal to 
