1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GenaCL600 [577]
3 years ago
13

A swimming pool is 50 ft wide and 100 ft long and its bottom is an inclined plane, the shallow end having a depth of 4 ft and th

e deep end, 10 ft.
Assume the pool is full of water. (Round your answers to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft
3
.)

a) Estimate the hydrostatic force on the shallow end.
b) Estimate the hydrostatic force on the deep end.
c) Estimate the hydrostatic force on one of the sides.
d) Estimate the hydrostatic force on the bottom of the pool.
Physics
1 answer:
Nina [5.8K]3 years ago
7 0

Explanation:

We define force as the product of mass and acceleration.

F = ma

It means that the object has zero net force when it is in rest state or it when it has no acceleration. However in the case of liquids. just like the above mentioned case, the water is at rest but it is still exerting a pressure on the walls of the swimming pool. That pressure exerted by the liquids in their rest state is known as hydro static force.

Given Data:

Width of the pool = w = 50 ft

length of the pool = l= 100 ft

Depth of the shallow end = h(s) = 4 ft

Depth of the deep end = h(d) = 10 ft.

weight density = ρg = 62.5 lb/ft

Solution:

a) Force on a shallow end:

F = \frac{pgwh}{2} (2x_{1}+h)

F = \frac{(62.5)(50)(4)}{2}(2(0)+4)

F = 25000 lb

b) Force on deep end:

F = \frac{pgwh}{2} (2x_{1}+h)

F = \frac{(62.5)(50)(10)}{2} (2(0)+10)

F = 187500 lb

c) Force on one of the sides:

As it is mentioned in the question that the bottom of the swimming pool is an inclined plane so sum of the forces on the rectangular part and triangular part will give us the force on one of the sides of the pool.

1) Force on the Rectangular part:

F = \frac{pg(l.h)}{2}(2(x_{1} )+ h)

x_{1} = 0\\h_{s} = 4ft

F = \frac{(62.5)(100)(2)}{2}(2(0)+4)

F =25000lb

2) Force on the triangular part:

F = \frac{pg(l.h)}{6} (3x_{1} +2h)

here

h = h(d) - h(s)

h = 10-4

h = 6ft

x_{1} = 4ft\\

F = \frac{62.5 (100)(6)}{6} (3(4)+2(6))

F = 150000 lb

now add both of these forces,

F = 25000lb + 150000lb

F = 175000lb

d) Force on the bottom:

F = \frac{pgw\sqrt{l^{2} + ((h_{d}) - h(s)) } (h_{d}+h_{s})   }{2}

F = \frac{62.5(50)\sqrt{100^{2}(10-4) } (10+4) }{2}

F = 2187937.5 lb

You might be interested in
How does changes in distance affect the gravitational pull between two objects? Describe and give one example.
maxonik [38]
The formula is

F_grav = G * m1 * m2 / r^2

G m1 and m2 are going to stay the same once chosen no matter what the distance is. The only thing that will change is the distance.

As the distance increases, the Gravitational Force will decrease. It will decrease by quite a bit.

As the distance decreases, the gravitational force will Increase.

The relationship is inverse. The moon travelling around the earth is one example. The earth travelling around the sun is another.
8 0
3 years ago
According to information found in an old hydraulics book, the energy loss per unit weight of fluid flowing through a nozzle conn
suter [353]

This question is incomplete, the complete question is;

According to information found in an old hydraulics book, the energy loss per unit weight of fluid flowing through a nozzle connected to a hose can be estimated by the formula; h= (0.04 to 0.09)(D/d)⁴V²/2g

where h is the energy loss per unit weight, D the hose diameter, d the nozzle tip diameter, V the fluid velocity in the hose, and g the acceleration of gravity.

Do you think this equation is valid in any system of units

Answer:

YES, the equation is a general equation that is valid in any system of units

Explanation:

Given the data in the question;

h = (0.04 to 0.09)(D/d)⁴ × \frac{V^{2} }{2g}

so

[ N.m/N ] = (0.04 to 0.09) ( m/m)² × (m²/s²)1/2 × (s²/m)

[ N.L/N ] = (0.04 to 0.09) ( L⁴/L⁴) × (L²/T²)1/2 × (T²/L)

∴ [ L ] = (0.04 to 0.09) [L]

So as each term in the equation must have the same dimensions, the constant term (0.04 to 0.09) must be without dimension.

Therefore, YES, the equation is a general equation that is valid in any system of units

5 0
2 years ago
Science use SI because it allows them to compare data and communication with each
Mekhanik [1.2K]
True
hope this helped!
3 0
3 years ago
Read 2 more answers
Watch the animation. identify the types of forces acting on an oil droplet while the voltage is turned on and the droplet is eit
mr_godi [17]
This is Millikan's oil drop experiment.
The downward force acting on the oil drop is its weight. The upward forces are air resistance, which is negligible due to the droplet's size, and the force due to the electric field present.
5 0
3 years ago
How high can you<br> throw a ball? What variables might affect the answer<br> to this question?
Wewaii [24]

Answer:

velocity

acceleration

time taken

air pressure

size of the ball

gravity(gravitational acceleration )

4 0
3 years ago
Read 2 more answers
Other questions:
  • State the reason and tell whether true or false. The SPEED OF LIGHT IS THE SAME IN ALL MEDIA.​
    5·1 answer
  • If a child ran into the road 65 to 70 feet ahead of your vehicle, what is the highest speed from which you could stop with good
    12·1 answer
  • Astronomers suspect that a galaxy’s type can be affected both by the conditions in the protogalactic cloud from which it forms (
    10·1 answer
  • As the resistance increased under 25 V, the current blank. Compared to calculated currents, experimental currents proved to be b
    6·1 answer
  • According to the condensation theory, the most important factor for the formation of our planets was _____. the gravitational pu
    5·2 answers
  • A car is traveling on a straight, level road under wintry conditions. Seeing a patch of ice ahead of her, the driver of the car
    15·1 answer
  • What is the speed of a car that travels 48 km in 2 hours?
    7·1 answer
  • A tennis ball moves 16 meters northward, then 22 meters southward, then 12 meters northward, and finally 32 meters southward.
    13·1 answer
  • Are stairs a type of inclined plane?
    11·2 answers
  • Anybody from India ?​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!