A hydraulic lift office chair has its seat attached to a piston with an area of
11.2 cm2
. The chair is raised by exerting force on another piston, with an area
of 4.12 cm2
. If a person sitting on the chair exerts a downward force of 219 N,
what force needs to be exerted on the small piston to lift the seat?
Force on big piston/force on small piston = 11.2/4.12 = 2.72 which is the mechanical advantage of our hydraulic jack machine
219/2.72 = 80.5 Newtons
That is a pretty light person by the way.
80.56 N
11.2/4.12=2.72, 219/2.72=80.5 N
thanks Ms. Smith!
A1 = 4.12 x 219 / 11.2 = 80.5N
So to get the answer you have to subtract the numbeer by itself then add that number you subtracted it to the answer that you got then add 2 the 3 then subtract 5 then you multiply the divide then you got your answer and ready to go. You are welcome I am the smartest person in the world
This isn't an answer but WHO TF IS THUMBS DOWNING THESE AWESOME ANSWERS??? (to the guy downvoting: i bet u still used their answers u monster)
To find the force needed to lift the seat, we can use Pascal's Principle, which states that the pressure exerted on a fluid in a closed system is transmitted equally in all directions. In this case, the fluid is hydraulic fluid.
First, let's calculate the pressure exerted by the person sitting on the chair. Pressure is defined as force divided by the area over which it is applied. We can use the formula:
Pressure = Force / Area
Given that the downward force exerted by the person is 219 N, and the area of the seat piston is 11.2 cm^2, we can calculate the pressure:
Pressure = 219 N / 11.2 cm^2
Now, let's find the force needed to lift the seat. Since the pressure is transmitted equally in all directions, the pressure on the small piston (with area 4.12 cm^2) will be the same as the pressure exerted by the person.
So, using the same formula as before, we can calculate the force needed to lift the seat:
Force = Pressure * Area
Force = (pressure exerted by person) * (area of small piston)
Force = (pressure exerted by person) * 4.12 cm^2
Substituting the value of the pressure exerted by the person, we get:
Force = (219 N / 11.2 cm^2) * 4.12 cm^2
Now you can simply calculate this expression to find the force needed to lift the seat.