To lift an object weighing 21000 N how much force is needed on a piston,with an area of .60 m2, if the platform being lifted has an area of 3.0m2?
area * force = constant
21000 N * .60 m^2 = f * 3.0 m^2
420n
To calculate the force needed on the piston to lift an object, we can use the principle of Pascal's Law. According to Pascal's Law, the pressure exerted on a fluid in a confined space is transmitted equally in all directions.
To begin, we need to calculate the pressure acting on the platform due to the weight of the object. Pressure is defined as force per unit area. In this case, the weight of the object is 21000 N and the platform has an area of 3.0 m^2. Therefore, the pressure is:
Pressure on the platform = Force on the platform / Area of the platform
= 21000 N / 3.0 m^2
= 7000 N/m^2 (or Pascal)
Since pressure is transmitted equally in all directions, the same pressure will be exerted on the piston as well. Now, we can find the force needed on the piston using the formula:
Pressure on the piston = Force on the piston / Area of the piston
We are given the area of the piston, which is 0.60 m^2. Let's substitute the values and solve for the force on the piston:
7000 N/m^2 = Force on the piston / 0.60 m^2
Multiplying both sides of the equation by 0.60 m^2, we get:
Force on the piston = 7000 N/m^2 * 0.60 m^2
Simplifying the equation gives us:
Force on the piston = 4200 N
Therefore, a force of 4200 N is needed on the piston to lift the object weighing 21000 N.