Physics, 25.03.2020 06:29 sindy35111

) A circular swimming pool has a diameter of 16 m. The circular side of the pool is 4 m high, and the depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 m/s2 and the density of water is 1000 kg/m3.) How much work (in Joules) is required to: (a) pump all of the water over the side

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Answer from: yurlgurllmay

Complete Question

A circular swimming pool has a diameter of 16 m. The circular side of the pool is 4 m high, and the depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 m/s2 and the density of water is 1000 kg/m3.) How much work (in Joules) is required to:

(a) pump all of the water over the side

(b) pump all of the water out of an outlet 3 m over the side?

The work required is W_d = 14.25*10^6J

The work is $W_{d3} = 3.6 *10^7 J$

Explanation:

From the question we are told that

The diameter is d = 16m

The height of the circular side is H =4m

The depth of water is D = 3.5m

The acceleration due to gravity is g =9.81m/s^2

The density of water is $\rho_w = 1000kg/m^3$

The radius of the swimming pool is

$r = \frac{16}{2} = 8m$

The work is mathematically given as

W_d = Force * distance

Now force is mathematically given as

$F = density * area * height \ of \ pool$

$= \rho * (\pi r^2 ) dx$

Now the work done to pump all of the water over the side

$W_d = \int\limits^D_0 {\rho (\pi r^2 )(H-x)} \, dx$

$=\int\limits^D_0 {1000*9.81 *(\pi * 8^2) (4- x)} \, dx$

$= 64000 *9.8 \pi \int\limits^{3.5} _0 {(4-x)} \, dx$

$= 64000 * 9.8 \pi [4x - \frac{x^2}{2} ]\left {3.5} \atop {0} \right.$

$= 64000 *9.8 \pi [4(3.5) - \frac{3.5^2}{2} ]$

=14.25*10^6J

Now for 3 meters over the side the new height would be

$H_{new} = H +3$

= 4+3

=7m

Now applying the formula for work that is above

$W_{d3 }= \int\limits^D_0 {\rho g (\pi r^2)(H-x)} \, dx$

$= \int\limits^{3.5}_0 {1000 *9.8 * (\pi * 8^2)(7 - x)} \, dx$

$= 64000 * 9.8 \pi [7x - \frac{x^2}{2} ]\left {3.5} \atop {0} \right.$

$= 64000 *9.8 \pi[7(3.5) - \frac{(3.5)^2}{2} ]$

=3.6*10^7J

Answer from: Quest

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.

Answer from: Quest

All are great precautions but you can still lift lighter and different muscles in between hard workdays. this keeps other muscles not usually used in shape.

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Engineering, 25.03.2021 21:30

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