To lift an object weighing 21,000 N, how much force is needed on a
piston with an area of 0.060 m2
if the platform being lifted has an area of 3.0 m2
?
If the weight is 21,000 N which is also a force and to find Buoyancy force then 3.0 m2 + .06 m2 = 3.6 m2 21,000/3.6
Im pretty sure im doing it wrong but I really don't get this
question.
Answer: The force needed on the piston to lift an object weighing 21,000 N is 5,833.33 N.
To determine the force needed on the piston to lift an object with a weight of 21,000 N, we need to understand the concept of pressure and how it applies to fluids.
Pressure is defined as the force exerted per unit area. In the case of a piston, when a force is applied to a smaller surface area, it creates a larger pressure, which can then lift a larger object with a greater surface area.
In this scenario, the force applied on the piston is given by the formula:
Force = Pressure × Area
To calculate the force needed on the piston, we'll first determine the pressure exerted on the piston:
Pressure = Force ÷ Area
Given that the weight of the object is 21,000 N and the platform area is 3.0 m², we can calculate the pressure exerted on the piston:
Pressure = 21,000 N ÷ 3.0 m²
Now, let's address the misunderstanding in your explanation. The concept of buoyancy applies when an object is submerged in a fluid and experiences an upward buoyant force. In this case, lifting an object directly with a piston does not involve buoyancy.
Returning to our calculation, the pressure exerted on the piston can be found by dividing the force (21,000 N) by the area of the piston (0.060 m²):
Pressure = 21,000 N ÷ 0.060 m²
Now that we have the pressure, we can rearrange the formula to find the force needed on the piston:
Force on Piston = Pressure × Area of the Piston
Substituting the values we have:
Force on Piston = (21,000 N ÷ 0.060 m²) × 0.060 m²
The area of the piston cancels out, leaving us with:
Force on Piston = 21,000 N
Therefore, the force needed on the piston to lift the object weighing 21,000 N is also 21,000 N.
To calculate the force needed on the piston to lift an object weighing 21,000 N, you need to use the concept of pressure.
Pressure (P) is defined as force (F) divided by area (A): P = F/A.
In this case, the force applied on the piston is what needs to be determined. We have the weight of the object (21,000 N) and the area of the piston (0.060 m^2).
Using the pressure formula, we can rearrange it to solve for force:
F = P * A.
First, we need to calculate the pressure exerted on the piston. The pressure is equal to the weight divided by the area of the platform:
Pressure = Weight/Area of platform = 21,000 N / 3.0 m^2.
Pressure = 7,000 N/m^2.
Next, we multiply the pressure by the area of the piston to find the force:
Force = Pressure * Area of piston = 7,000 N/m^2 * 0.060 m^2.
Force = 420 N.
Therefore, to lift the object weighing 21,000 N, a force of 420 N needs to be applied on the piston with an area of 0.060 m^2.