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zvonat [6]
3 years ago
11

Calculate the force output by the larger piston of a hydraulic lift when a force of 800 N is exerted on the smaller piston. The

areas of the two pistons are 20 cm2 and 500 cm2.
Mathematics
1 answer:
Alchen [17]3 years ago
5 0

answer:

<h2>F2= 5kN</h2>

step by step explanation

<em>Note the second diameter was used as 50cm and not 500cm</em>

given

F1=800N

D1=20cm

A1=πD1^2/4

=3.142*20^2/4

=314.2cm^2

D2= 50cm

A2=πD2^2/4

=3.142*50^2/4

=1963.75cm^2

The pressure applied on the smaller relative to the bigger end is expressed as

F1/A1=F2/A2

substitute we have

800/314.2=F2/1963.75

cross multiply we have

F2=800*1963.75/314.2

F2=1571000/314.2

F2=5000N

F2=5kN

The larger Force is 5kN

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Answer:

Evolution requires at molecules and atoms assemble themselves into <u>increasing</u> order

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3 years ago
If the sides of a cube are 2 meters long, then its volume is A) 8 m B) 8 m2 C) 8 m3 D) 8 m4 Eliminate
grigory [225]
Hello there,

The answer to your question would be:

C. 8m^{3}

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6 0
3 years ago
Read 2 more answers
On the map, Winton ,California is located at(“ (2,10.5) in Lake Tahoe is located at (14,16). Each unit on the map equals 16.5 mi
garik1379 [7]

Answer:

The distance between the two

points on the map

is 225 units

Step-by-step explanation:

Firstly, we need to calculate the distance in units between the two locations on the map

What we have to use here is the distance formula

Mathematically, we have this as;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (2,10.5)

(x2,y2) = (14,16)

we have the distance as follows;

D = √(14-2)^2 + (16-10.5)^2

D = √(12^2 + 6.5^2)

D = √(186.25)

D = 13.65 units

now, from the question, 1 unit on the map represents a distance of 16.5 miles

thus, a distance of 13.65 units will be;

16.5 * 13.65 = 225.225

= 225 units

6 0
3 years ago
The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours
Arada [10]

Answer:

The number of bacteria at initial = 187

Step-by-step explanation:

Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.

\frac{dN}{dt} = k N

\frac{dN}{N}  = k dt

Integrating both side we get

㏑ N = k t + C ------- (1)

Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.

⇒ ㏑ 500 = 3 k + C -------- (2)

⇒ ㏑ 5000 = 10 k + C ------ (3)

⇒ ㏑ 5000 -  ㏑ 500 = 7 k

⇒ ㏑\frac{5000}{500} = 7 k

⇒  ㏑ 10 = 7 k

⇒ k = 0.329

Put this value of k in equation (2),

⇒ ㏑ 500 = 3 × 0.329 + C

⇒ C = 5.23

Put this value of C in equation 1 we get,

⇒ ㏑ N = k t + 5.23

Initially when t = 0 , then

⇒ ㏑ N = 5.23

⇒ N =  187

Thus the number of bacteria at initial = 187

8 0
4 years ago
Sarah made pizzas for her party. She put meat on 1/2 of the pizzas. Only 1/4 of the meat pizzas has sausage on them. How many of
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