Question

A small crane has a motor that exerts 2.41 times 10^7 Pa of pressure on a fluid chamber. If the piston has an area of 168 cm2 how much force does the piston exert?

Answer 1

`F = 4.05* 10^(9)\ N`

Step-by-step explanation:

Given:

Exerts pressure

`p = 2.41* 10^(7)\ Pa`

Piston has an area

`A = 168\ cm^{2]`

We need to find the force exerted by piston.

Solution:

Formula of pascals law's is given as:

`p=(F)/(A)`

Where:

F = Force applied

P = Pressure exerted

A = Cross sectional area

Substitute force and area in pascal's formula.

`2.4* 10^(7)=(F)/(168)`

Using cross multiplication.

`F = (2.41* 10^(7))* 168`

`F = 404.88* 10^(7)`

`F = 4.05* 10^(9)\ N`

Therefore, the force exerted by piston
`F = 4.05* 10^(9)\ N`