oiestie Attempts: O of 3 used san\" PO\" \"Are\"
Solution
Data given:
F = 19.9 kN
A=?*(55.8/2)2 cm2
a=?*(2.51/2)2 cm2
Consider pressure applied on water by bigger piston is P and pressure applied on water by smaller piston is p.
Since pressure on both sides of the pipes are equal, we can write,
P = p
F1 = P*A and f = p*a, where F and f are forces applied on pistons to balance water on both sides.
Or
P = F1/A and p = f/a
Since P=p, we have
F1/A = f/a
Or
f = F1*a/A
Putting values of F1, a and A, we have
f = 19.9*1000*(2.51*2.51)/(55.8*55.8) = 40.265 N
So force magnitude on smaller piston is 40.265 N
.
oiestie Attempts- O of 3 used san-- PO-- --Are-- SolutionData given- F.docx
1. oiestie Attempts: O of 3 used san" PO" "Are"
Solution
Data given:
F = 19.9 kN
A=?*(55.8/2)2 cm2
a=?*(2.51/2)2 cm2
Consider pressure applied on water by bigger piston is P and pressure applied on water by
smaller piston is p.
Since pressure on both sides of the pipes are equal, we can write,
P = p
F1 = P*A and f = p*a, where F and f are forces applied on pistons to balance water on both sides.
Or
P = F1/A and p = f/a
Since P=p, we have
F1/A = f/a
Or
f = F1*a/A
Putting values of F1, a and A, we have
f = 19.9*1000*(2.51*2.51)/(55.8*55.8) = 40.265 N
