Question

The foot pedal on hydraulic brake system exerts a force of 45 lb on a piston with a diameter of 1.00 cm. The brake fluid in the brake system exerts the pressure from the foot pedal on a brake pad piston with a diameter of 2.50 cm. The force on the brake pad is:______

a. 133 lbs
b. 150 lbs
c. 281 lbs
d. 350 lbs
e. 402 lbs

Answer 1

the correct answer is C, 281 lb

Step-by-step explanation:

This is an exercise in fluid mechanics specifically on Pascal's principle, which states that the pressure in a fluid is equal to all points that are at the same depth

P =
`(F_(1) )/(A_(1) )` =
`(F_(2) )/(A_(2) )`

If we use the subscript 1 for the piston diameter mentor (d = 1.00vm) which is r = 0.05 cm, the force is F1 = 45 lb

F₂ = \frac{F_{1} }{A_{1} } F₁

in area of ​​a circules

A = π r²

we substitute

F₂ =
`(r_(2)^2 )/(r_(1)^2) F_(1)`

let's calculate

F2 = 2.50² / 1.00² 45

F2 =281 lb

therefore the correct answer is C