En la tienda de mascotas "Animalo-T", se desea elevar un elefante de 2,900 kg utilizando una elevadora hidráulica de plato grande circular de 75 cm de radio y plato pequeño circular de 13 cm de radio. ¿Calcula cuánta fuerza hay que hacer en el émbolo pequeño para elevar al paquidermo?

Answers

Answer 1

Answer:

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Step-by-step explanation:

Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:

[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)

Donde:

[tex]F_{1}[/tex] - Fuerza experimentada por el elefante, medida en newtons.

[tex]F_{2}[/tex] - Fuerza aplicada sobre el plato pequeño, medida en newtons.

[tex]A_{1}[/tex] - Área del plato grande, medida en metros cuadrados.

[tex]A_{2}[/tex] - Área del plato pequeño, medida en metros cuadrados.

La fuerza aplicada sobre el plato pequeño es:

[tex]F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}[/tex]

La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:

[tex]F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g[/tex] (2)

Donde:

[tex]D_{1}[/tex] - Diámetro del plato grande, medido en centímetros.

[tex]D_{2}[/tex] - Diámetro del plato pequeño, medido en centímetros.

[tex]m[/tex] - Masa del elefante, medida en kilogramos.

[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo cuadrado.

Si sabemos que [tex]D_{1} = 0.75\,m[/tex], [tex]D_{2} = 0.13\,m[/tex], [tex]m = 2900\,kg[/tex] y [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], entonces la fuerza a aplicar al émbolo pequeño es:

[tex]F_{2} = \left(\frac{0.13\,m}{0.75\,m} \right)^{2}\cdot (2900\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F_{2} = 854.473\,N[/tex]

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.


Related Questions

Jackson invested $750 into a savings bond that earned 3% interest each month. At the same time, he also began saving money in a savings account. The value of the savings account is represented by f(x) = 1,000 + 25x, where x represents the number of months since the account was opened. At the end of how many months did the value of the savings bond first begin to exceed the value of the savings account?

Answers

Answer:

33 Is the ANSWER

The ice cream vendor ‘s cold box holds 24 ice cream cups. The freezer has 8 cases of ice cream each with 48 cups. How many trips to the freezer will the vendor make if he sells all the ice cream? I have more for my brother.

Answers

Answer:

16

Step-by-step explanation:

24/8=3

48/3=16

I need help ASAP!!!!!!!

Answers

Answer:

yes GFEH ~LKJM and DCBA ~CRQP

Step-by-step explanation:

if you turn the DCBA shape 90 degrees to the right you can easily see that they're the exact same shape

hope this helps!!

give the missing term 4:5=n:45​

Answers

Answer : 36
Divide 45 by 5 , then multiply the product by 4
Hopefully this helped you :) .

Answer:

n = 36

Step-by-step explanation:

4 : 5 = n : 45

It can be also written as :-

[tex]\frac{4}{5} = \frac{n}{45}[/tex]

Multiplying both the sides by 45 ,

[tex]=> \frac{4}{5} \times 45 = \frac{n}{45} \times 45[/tex]

[tex]=> n = 4 \times 9 = 36[/tex]

Is 2/5 and 8/20 equivalent

Answers

yes!
explanation:
8 divided by 4 equals 2 and 20 divided by 4 is 5

Answer:

Yes, they are.

Step-by-step explanation:

i need help with this i really dont understand it. :)

Answers

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides

(11)

given 2 sides 2, 6 , then

6 - 2 < x < 6 + 2

4 < x < 8

(12)

Given 2 sides 4, 12 , then

12 - 4 < x < 12 + 4

8 < x < 16

(13)

Given 2 sides 2, 11 , then

11 - 2 < x < 11 + 2

9 < x < 13

What is the area of the circle below?
10 ft

Answers

Answer:

Circle

Solve for area

A=π r^2

r =Radius

You about this first:

The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations: C = πd. C = 2πr.

Step-by-step explanation:

Hope it is helpful....

Which line has a slope of -1/2? Line a, line b, line c, line d​

Answers

Answer: a

Step-by-step explanation:

Answer:

line d

Step-by-step explanation:

if there are 2 beats in each measure and the quarter notes get the beat ( equals 1), what time signature would you be in ​

Answers

Answer:

2/4

Step-by-step explanation:

because if there are two in each measure that automatically makes it two beats out of 4.

please help 25 points !!!!!!!!!!!!!!!!!!!
look at the picture below . write a word problem for that equation.

Answers

Now we have to,

Write a word problem for the equation,

→ 2/6 × 3/4

Let's write a word problem,

Nobita had got salary, then he spent his 2/6 of his salary for every 3/4 times. How much he had spent totally (in fraction), give the required expression?

help help help boi i literally don’t know the answer

Answers

[-9,3]
the domain is determined by the x values

What is the product of (3to the square root of 8)(4 to the square root of 3)? Simplify your answer

Answers

Answer:

A. [tex] 24\sqrt{6} [/tex]

Step-by-step explanation:

Given:

[tex] (3\sqrt{8})(4\sqrt{3}) [/tex]

Multiply both together as shown below:

[tex] (3*4*\sqrt{8}*\sqrt{3}) [/tex]

[tex] 12\sqrt{24} [/tex]

[tex] 12\sqrt{4*6} [/tex]

[tex] 12*\sqrt{4} * \sqrt{6} [/tex]

[tex] 12*2 * \sqrt{6} [/tex]

[tex] 24* \sqrt{6} [/tex]

[tex] 24\sqrt{6} [/tex]

what is the answer of this 5-x=7-2x

Answers

Answer:

x = 2

Step-by-step explanation:

5 - x  = 7 - 2x

-x + 2x = 7 - 5

x = 2

Answer:

x=2

Step-by-step explanation:

5-x=7-2x

5+x=7 (Move 2x to the other side)

x=2 (Minus 5 from both sides)

Check:

5-x=7-2x

5-2=3

7-(2*2)= 7-4 = 3

(Correct)

triangle ABC has sides of lengthAB = 10 cm, BC = 12 cm , and AC = 15 cm . List the angles from smallest to largest.

Answers

Answer:Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!

Step-by-step explanation:

Find the slope and y-intercept of the line in each graph.

Answers

1 slope is 2/4 and the y is 0
2. Slope is -2/3 and the y is 2
Hope this helps

a boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?​

Answers

Answer:

56.3

6.6

Step-by-step explanation:

Answer:

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?: √3170≈56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?: √44.19≈6.65 ft.

Step-by-step explanation:

For these questions, we will need to use the pythagorean theorem: a²+b²=c², where a and b are the legs of the right triangle and c is the hypotenuse.

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?

In this question, we are looking for the hypotenuse.

19 and 53 are the legs of the triangle, so we can plug it into the equation:

19²+53²=c²

361+2809=c²

3170=c²

√3170=c

56.30275304103699, or approximately 56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?​

25 is the hypotenuse since it is leaning sideways and is the longest side. 24.1 is one of the legs.

In this question, we are looking for one of the legs.

Let's plug it in: 24.1²+b²=25²

580.81+b²=625

Subtract 580.81 from both sides.

b²=44.19

b=√44.19

6.647555941848102, or approx. 6.65 ft.

Someone plz help me I’m in mine last question

Answers

Step-by-step explanation:

21)

Frog C - Frog B

318.5-199.25=119.25 cm

22)

Frog A = 213.33

to the nearest whole number= 213 cm

Please help!!! Thank you!!!!!

Answers

3rd option


Hope this help!!!!

Answer:

Its the third answer choice

Step-by-step explanation:

Hope this helps

HELP PLEASE!!!!!! 20 POINTS!!!!!!!!!!

Answers

Believe in yourself
5 is the answer. Thank you

Arrange the expressions in increasing order of their estimated

Answers

Have a blessed day xxxo‍♀️‍‍

Will spent $15 for 12 pounds of granola. What is his unit rate in dollars per pound?

Answers

Answer:

1.25

Step-by-step explanation:

to find the unit rate you have to find out how much one pound will be so you divide 15 by 12 and you get 1.25

tell whether the ratios are equivalent: 3 days to 4 hours and 9 days to 12 hours. show your work.

Answers

Answer:

yes.

Step-by-step explanation:

write these ratios as fractions to see if they are proportional

3/4

9/12 -------> this can be simplified by dividing by 3

       = 3/4

therefore yes they are equivalent

The probability of a football team winning a game is three fifths. If they play 25 games in a season, how many games would you expect them to win?

Answers

Answer:

Step-by-step explanation: 3/5 of 25 is 15 so they will win 15 games

16x^2 + 10x — 27 = -6x + 5

What are the solutions to this equation?

Answers

Answer:

x=1 or x=−2

Step-by-step explanation:

16x2+10x−27=−6x+5

Step 1: Subtract -6x+5 from both sides.

16x2+10x−27−(−6x+5)=−6x+5−(−6x+5)

16x2+16x−32=0

Step 2: Factor left side of equation.

16(x−1)(x+2)=0

Step 3: Set factors equal to 0.

x−1=0 or x+2=0

x=1 or x=−2

Select all possible solutions
help!

Answers

Please just tell us the questions so we don’t have to look at bad quality

How do you write 156 in scientific notation?

Answers

Answer:

Why is 156 written as 1.56 x 10^2 in scientific notation?

Step-by-step explanation:


y= {x + 19; (-9, 4)

Answers

Answer: No solution

Step-by-step explanation:

I don’t know if you want to see if (-9,4) is infinitely many solution, one solution, or one solution

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Answers

The answer is 137,018,196
Explanation calculator

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Answers

50%. Aaaaaaaaaaaqaaafs

Answer:

it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)

Hope this helped!

Step-by-step explanation:

What is this answer?

Answers

Answer:

B is the correct answer

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