Question

A) A 1500-kg car is lifted to a height h by a hydraulic lift containing an incompressible fluid. A force of F_1 applied on a piston of area A_1 results in a larger force of F_2 on the plunger of larger area A_2. Suppose the piston has a radius of 0.0120 m and the plunger’s radius is 0.150 m. Calculate the height to which the car is lifted if the work done by the plunger is 200 J. (Assume that the weight of the plunger and fluid are negligible).

B) Calculate the distance the piston moves to lift the car to a height h.

C) A surgeon inserted a needle in the patient’s vein. The needle was connected to a top-open plastic bag filled with therapeutic fluid and lifted to a height h. Find h, which is just sufficient for the fluid to enter the vein, if the pressure gauge inside the vein was 5980 Pa. The therapeutic fluid density was adjusted to be the same as that of blood (see the lecture notes or textbook for the value).

D) At the next stage of the treatment procedure, the surgeon used a syringe to administer a drug fluid into the same vein as in part (c). The syringe was positioned at the same level as the vein. A force of 1.20 N was applied to the plunger of the cross-sectional area 0.81 cm2 connected to the needle of the inner radius 0.6 mm. What was pressure difference between the proximal and distal parts of the needle given that the proximal end opened into the vein? Use the same drug fluid density as in (c).

E) What volume of the drug fluid was injected into the vein in 2.5 s by the pressure difference calculated in (d)? [Hint: neglect the fluid speed in the syringe].

Answer #1

Note : When no specific answer requirement is by you and if mutiple questions are there, we are supposed to provide the answer for main first question and it's subpart.

P.S : Please do give a thumbs up since we as an expert take pain
and take our time out by typing answer in lucid language and
putting best of our knowledge at your doorstep.

Thank you

(a) A 2000-kg car is
lifted to a height h by a hydraulic lift containing an
incompressible fluid. A force of F1 applied on a
piston of area A1 results in a larger force of
F2 on the plunger of larger area
A2 . Suppose the piston has a radius of 0.0120 m
and the plunger’s radius is 0.750 m.
Calculate the height to which the car is lifted if the work done
by the plunger is 200 J. (Assume...

A surgeon inserted a needle in the
patient’s vein. The needle was connected to a top-open plastic bag
filled with therapeutic fluid and lifted to a height h.
the pressure gauge inside the vein was 5980 Pa. The therapeutic
fluid density was adjusted to be the same as that of blood (see the
lecture notes or textbook for the value).
(d) At the next stage of the treatment procedure, the
surgeon used a syringe to administer a drug fluid into...

A surgeon inserted a needle in the patient’s vein. The needle
was connected to a top-open plastic bag filled with therapeutic
fluid and lifted to a height h. Find h, which is just sufficient
for the fluid to enter the vein, if the pressure gauge inside the
vein was 5980 Pa. The therapeutic fluid density was adjusted to be
the same as that of blood (see the lecture notes or textbook for
the value).
(d) At the next stage of...

(c) A surgeon inserted a needle in the patient’s vein.
The needle was connected to a top-open plastic bag filled with
therapeutic fluid and lifted to a height h. Find h, which is just
sufficient for the fluid to enter the vein, if the pressure gauge
inside the vein was 5980 Pa. The therapeutic fluid density was
adjusted to be the same as that of blood (see the lecture notes or
textbook for the value).
(d) At the next stage...

The hydraulic oil in a car lift has a density of 8.73 x 102
kg/m3. The weight of the input piston is negligible. The radii of
the input piston and output plunger are 8.10 x 10-3 m and 0.101 m,
respectively. What input force F is needed to support the 24000-N
combined weight of a car and the output plunger, when (a) the
bottom surfaces of the piston and plunger are at the same level,
and (b) the bottom surface...

The hydraulic oil in a car lift has a density of 8.04 x
102 kg/m3. The weight of the input piston is
negligible. The radii of the input piston and output plunger are
7.63 x 10-3 m and 0.158 m, respectively. What input
force F is needed to support the 26400-N combined weight
of a car and the output plunger, when (a) the
bottom surfaces of the piston and plunger are at the same level,
and (b) the bottom surface...

1.A hydraulic lift is lifting a car that weighs 14 kN. The area
of the piston supporting the car is A, the area of the other piston
is a, and the ratio A/a is 101.7. How far must the small piston be
pushed down to raise the car a distance of 1.2 cm
2.The pressure inside a bottle of champagne is 4.8 atm higher
than the air pressure outside. The neck of the bottle has an inner
radius of 0.9...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 19 minutes ago

asked 28 minutes ago

asked 46 minutes ago

asked 51 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago