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jarptica [38.1K]
3 years ago
11

In a hydraulic jack, the pipe below the load has an area of 5 m2, and the pipe through which the input force transmits has an ar

ea of 1 m2. Calculate the force required.
(____) kN of input force is necessary to balance a load of 10,000 N.
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

0.2kN

Step-by-step explanation:

An hydraulic jack works by the principle that pressure applied to one part in an enclosed liquid is transmitted equally in all parts of the liquid. this is in accordance with Pascal's principle.

Pressure= Force/Area

P=F/A

Pressure due to the load= Pressure due to input force for the system to be in balance.

Let force due to load be F₁, input force be F₂, Area at the load piston be A₁ and the area of the pipe through which the input force transmits be A₂, then,

F₁/A₁=F₂/A₂

10000N/5m²=F₂/1m²

F₂=(1000N×1m²)/5m²

F₂=200N

=0.2kN

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Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

<u>Examples</u>:

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We do this to get it into a percent.

3 - Assign numbers to the values from our equation

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<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>

<em />

Hope this helps :)

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Step-by-step explanation:

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I don't know what are the expressions but try yourself

Believe in yourself you can do it

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Step-by-step explanation:

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