what formula do i need in order to solve this
a force of 230 N applied on a hydraulic lift raises an automobile weighing 6500 N. If the applied force is exerted on a 7.0 m^2 piston, what is the area of the piston beneath the automobile?
can someone show me how to do this in steps or tell me what formula to use
thanks:)
.0050 m^2
thnks
To solve this problem, you can use Pascal's law and the formula for pressure.
Step 1: Understand the problem:
We have an applied force of 230 N and a weight of 6500 N acting on a hydraulic lift. The applied force is exerted on a piston with an area of 7.0 m^2. We need to find the area of the piston beneath the automobile.
Step 2: Recall Pascal's law:
According to Pascal's law, pressure exerted on a fluid is transmitted equally in all directions.
Step 3: Use the formula for pressure:
The formula for pressure is P = F/A, where P is the pressure, F is the force exerted on an area, and A is the area.
Step 4: Determine the pressure exerted:
We know that the pressure exerted by the applied force is 230 N. So, we can use the formula P = F/A to find the pressure:
230 N = F/A
Step 5: Calculate the area:
We are given the pressure and the force, but we need to find the area. Rearranging the formula, we have:
A = F/P
Using the values given, the area is:
A = 6500 N / 230 N = 28.26 m^2
Therefore, the area of the piston beneath the automobile is 28.26 m^2.
To solve this problem, you can use Pascal's Law, which states that when pressure is applied to a fluid in a confined space, it is transmitted equally in all directions. This law can be applied to hydraulic systems, such as the one in this problem.
We can start by calculating the pressure exerted by the force on the lift. The formula for pressure is:
Pressure = Force / Area
Given that the force applied on the lift is 230 N and the area of the piston is 7.0 m², we can calculate the pressure:
Pressure = 230 N / 7.0 m²
Now, using Pascal's Law, we know that the pressure is transmitted equally in all directions. Therefore, the pressure at the piston beneath the automobile is equal to the pressure exerted on the lift. So, the pressure at the piston beneath the automobile is the same as the pressure calculated above.
Next, we can find the area of the piston beneath the automobile. We can rearrange the pressure formula to solve for area:
Area = Force / Pressure
Given that the weight of the automobile is 6500 N and we already calculated the pressure, we can substitute these values into the formula:
Area = 6500 N / Pressure
Substituting the calculated pressure into the formula will give you the area of the piston beneath the automobile.
Therefore, using the above steps and formulas, you can solve the problem and find the area of the piston beneath the automobile.
pressure is the same on the little piston and the big piston
so
230/7 = pressure = 32.86 N/m^2
32.86 * area = 6500
solve for area