1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulijaS [17]
4 years ago
12

Multiple-Concept Example 8 presents an approach to problems of this kind. The hydraulic oil in a car lift has a density of 8.30

???? 10 2 kg/m3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 7.70 ???? 10????3 m and 0.125 m, respectively. What input force F is needed to support the 24 500-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 1.30 m above that of the input piston?
Physics
1 answer:
Lunna [17]4 years ago
4 0

Answer:  

a. = 93 N

b. =  94.9 N

Explanation:

Answer:

Explanation:

from the question we were given the following:

density of oil (ρ) = 8.3 x 10^{2}  \frac{kg}{m^{3} }

radius of the output plunger (R) = 0.125 m

radius of the input piston (r) =  7.70 x 10^{-3}  m = 0.0077 m

output force (F2) = 24500 N

input force (F1) = ?

acceleration due to gravity (g) = 9.8 \frac{m}{s^{2} }

difference in height of the plunger and piston (h) = 1.3 m

  • we can find the required input force when the piston and the plunger are at the same height using the equation below

\frac{F2}{A2}  = \frac{F1}{A1 }

F1 = (  \frac{F2}{A2 }  ) x A1

where A1 is the area of the input piston and A2 is the area of the output plunger

Area = π x radius^{2}

A2 = π x 0.125^{2} = 0.049

A1 = π x 0.0077^{2} = 0.000186

recall that from above F1 =  (  \frac{F2}{A2 }  ) x A1

F1 = (  \frac{24500}{0.049 }  ) x 0.000186

F1 = 93 N

  • we can find the required input force when the height of the piston and the plunger are 1.3 m apart using the equation below

P2 = P1 + ρgh

where P = pressure = \frac{F}{ A }

therefore the equation above now becomes

\frac{F2}{ A2 } = \frac{F1}{ A1 }  + ρgh

F2 = ( \frac{F1}{ A1 }  + ρgh ) x A2

F2 =  ( \frac{24500}{ 0.000186 }  + ( 8.3 x 10^{2}  [tex] x 9.8 x 1.3  ) ) x 0.049

F2 = 94.9 N

You might be interested in
Khaled said the North star is special because it appears all over the world and its changes position.
saw5 [17]
False the North Star never changes it position
3 0
3 years ago
Current is produced when charges are accelerated by an electric field to move to a position of lower
Vaselesa [24]
Current is created when charges are quickened by an electric field to move where the position of lower temperature. An electric current is a stream of electric charge. In electric circuits, this charge is regularly conveyed by moving electrons in a wire.
8 0
3 years ago
When testing a home for radon, where is the most likely place for the highest detected level? A) the basement, due to ground see
german

Answer:

A

Explanation:

ive been buying loui i been shoppin

5 0
3 years ago
Read 2 more answers
Physical science semester B exam 66 problems , please don’t delete I’m on my last leg I need this please god help me
krek1111 [17]
HI!! If you need answers to your exam, then go to https://quizlet.com/ then search for what you need!! I hope this helps I am not sure what your exam is for, and I don't have enough info to tell you all the answers, but hopefully, this will help you!!

7 0
4 years ago
Qué órganos forman parte del sistema nervioso
Dmitry [639]
El cerebro, la medula espinal, y los nervios.
3 0
4 years ago
Other questions:
  • Displacement can be zero but distance can't. explain this statement with example.​
    8·1 answer
  • What is flens, the focal length of the lens? if the lens is converging flens is positive. it the lens is diverging, flens is neg
    15·1 answer
  • PLEASE help me with these questions as soon as possible i need to turn it in!!!!
    8·1 answer
  • 9. A balloon with a volume of 100.21 L at 21 °C and 0.981 atm is released and just barely clears the top of Mount Crumpet in Bri
    9·1 answer
  • PLEASE HELP!! Salmon often jump waterfalls to reach their
    9·1 answer
  • What is the anode in an alkaline battery?
    5·2 answers
  • Help pleasseeee URGENT
    7·1 answer
  • The distance from the sun to Earth would be
    7·1 answer
  • Explain how climbing a mountain is similar to hiking from the equator to one of the poles
    5·2 answers
  • The big bang theory suggests that our universe formed as the result of a huge explosion that sent all existing matter flying out
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!