Cutnell, Physics, 10e COLLEGE PHYSICS( ce Assignment Gradebook ORION Downloadabl

Question

Cutnell, Physics, 10e COLLEGE PHYSICS( ce Assignment Gradebook ORION Downloadable eTextbook ent FULL SCREEN PRINTER VERSION BACK NEXT Chapter 11, Problem 035 Interactive Solution 11.35 presents one method for modeling this problem. Multiple-Concept Example 8 also presents an approach to problems of this kind. The hydraulic oil in a car lift has a density of 8.07 x 102 kg/m3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 5.67 x 103 m and 0.152 m, respectively. What input force F is needed to support the 27400-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 of the output plunger is 1.40 m above that of the input plunger? (a) Number (b) Number Units Units LINK TO TEXT

Explanation / Answer

Given,

rho = 8.07 x 10^2 kg/m^3 ; r2 = 5.67 x 10^-3 ; r1 = 0.152 m; F = 27400 N

a)We know that

P = F/A

P1 = P2 => F1/A1 = F2/A2

F2 = (A2/A1)F1

F2 = [ pi (5.67 x 10^-3)^2/pi (0.152)^2] x 27400 = 38.126 N

Hence, F2 = 38.126 N

b)Now,

P2 = P1 + rho g h

F2 = F1 (A2/A1) + rho g h (A2)

F2 = 27400[ pi (5.67 x 10^-3)^2/pi (0.152)^2] + 8.07 x 10^2 x 9.81 x 1.4 x (3.14 x (5.67 x 10^-3)^2) = 39.256 N

Hence, F2 = 39.256 N

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.