If you have a hydraulic lift and you know the density of the oil inside, the area of the cylinder and the area of the piston and the force that needs to be applied to lift as certain weight and the weight of that object...how do you find the height that the piston needs to be pushed down if the cylinder goes up 0.03cm?
weight= pressure*area
heightlift*arealift=heightpush*areapushcylinder.
To find the height that the piston needs to be pushed down if the cylinder goes up 0.03 cm, you can use the principle of Pascal's law, which states that pressure applied to a fluid in a confined space is transmitted equally in all directions.
First, you need to calculate the change in volume of the fluid in the hydraulic lift cylinder. Since the area of the cylinder is known, multiplying it by the change in height will give you the change in volume.
Change in volume = Area x Change in height
Next, you can determine the change in pressure that is exerted on the fluid in the cylinder. To do this, you need to consider the force applied to the piston and the area of the piston.
Change in pressure = Force / Area of the piston
Knowing the density of the hydraulic oil, you can calculate the change in mass of the fluid:
Change in mass = Change in volume x Density of the fluid
Finally, you need to calculate the change in weight that corresponds to the change in mass of the fluid. By comparing the change in mass to the weight of the object, you can determine the change in height of the piston:
Change in weight = Change in mass x Acceleration due to gravity
Change in height = Change in weight / (Force / Area of the piston)
Using these formulas, you can calculate the height that the piston needs to be pushed down based on the given parameters.