# Verifying Hydraulics Question

• bcjochim07
In summary, the cheerleader is using an oil-filled hydraulic lift to hold four football players at a height of 1m. Her piston, which is 16cm in diameter, is holding a total weight of 440kg. By using the equation (55kg x 9.80)/0.02m^2 = (440kg x 9.80)/A2, we can solve for A2 and then convert it to a diameter of 45cm. The difference between the formulas (p0 + F1/A1 = p0 + F2/A2 + ro*gh) and (DeltaF = ro*g (A1+A2)d2) is that the first one is used when no work is
bcjochim07

## Homework Statement

A 55kg cheerleader uses an oil-filled hydraulic lift to hold four 110 kg football players at a height of 1 m. If her piston is 16 cm in diameter, what is the diameter of the football players' piston?

## The Attempt at a Solution

(55kg)(9.80)/(.02 m^2) = (440kg)(9.80)/A2
A2 = .16 m^2
.16 m^2 = pi * r^2
r=.2257 m
D= .45 m = 45 cm

Is this correct? I am a little bit confused as to the difference between these formulas:

p0 + F1/A1 = p0 + F2/A2 + ro*gh This is the one I used because she is just holding them in position and no work is being done.

for the formula DeltaF = ro*g (A1+A2)d2 You should use this one when the problem involves lifting something (doing work)

any thoughts?

with the hydraulic lift.

Your solution is correct. The formula you used, p0 + F1/A1 = p0 + F2/A2 + ro*gh, is the correct one to use in this situation because the cheerleader is simply holding the football players at a constant height, not lifting them. This formula takes into account the balance of forces at equilibrium.

The other formula, DeltaF = ro*g (A1+A2)d2, is used when the hydraulic lift is actively lifting something. In this case, the lift would be exerting a force on the football players to raise them to a higher height. This formula takes into account the work done by the lift in raising the object.

Overall, your understanding and use of the correct formula is correct. Keep in mind that in real-world situations, other factors such as friction and fluid viscosity may also need to be taken into account for a more accurate calculation.

## 1. What is the purpose of verifying hydraulics?

Verifying hydraulics is the process of testing and ensuring the proper functioning of hydraulic systems. This is important to ensure the safety and efficiency of equipment and machinery that rely on hydraulics for operation.

## 2. How is the verification of hydraulics performed?

The verification of hydraulics is typically done by conducting a series of tests and measurements on the hydraulic system. This may involve checking for leaks, measuring pressure and flow rates, and assessing the overall performance of the system.

## 3. What are the potential consequences of not verifying hydraulics?

If hydraulics are not properly verified, it can lead to malfunctions and failures in equipment and machinery. This can result in costly repairs, downtime, and even safety hazards for operators and those around the equipment.

## 4. How often should hydraulics be verified?

The frequency of verifying hydraulics may vary depending on the specific system and its usage. However, it is generally recommended to conduct regular inspections and tests, especially before and after any major use or maintenance of the system.

## 5. What are some common issues that may be identified during the verification of hydraulics?

Some common issues that may be identified during the verification of hydraulics include leaks, worn or damaged components, incorrect fluid levels, and inadequate pressure or flow rates. These issues can then be addressed and corrected to ensure the proper functioning of the system.

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