BLOCKED FLOAD Problem 7 A double-acting cylinder is hooked up in the regenerative circuit shown. The relief valve setting is 110 bars. The piston area is 300 cm² and the rod area is 65 cm². If the pump flow is 0.0085 m³/s, find the cylinder speed and load-carrying capacity for the a. Extending stroke b. Retracting stroke

Elements Of Electromagnetics
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### Problem 7

In this problem, we are working with a double-acting cylinder that is connected to a regenerative circuit as shown in the schematic diagram.

The following parameters are provided:

- Relief valve setting: 110 bars
- Piston area: 300 cm²
- Rod area: 65 cm²
- Pump flow rate: 0.0085 m³/s

Your task is to determine the cylinder speed and the load-carrying capacity for the following scenarios:
  a. Extending stroke
  b. Retracting stroke

#### Diagram Explanation

The schematic diagram shows a double-acting cylinder connected in a regenerative circuit. The key components of the circuit include:

- A double-acting cylinder
- Relief valve
- Directional control valve
- Pump

The diagram illustrates how the fluid flow is managed and directed to achieve the extension and retraction of the cylinder.

### Steps to Solve

To find the cylinder speed and load-carrying capacity for both extending and retracting strokes, you will need to apply the principles of fluid mechanics and hydraulic systems. The following formulas and considerations might be useful:

1. **Flow Rate (Q):**
   Given in the problem as 0.0085 m³/s.

2. **Cylinder Speed (V):**
   The speed of the cylinder rod can be determined using the relationship between flow rate and area:

   For the extending stroke:
   \[ V_{extending} = \frac{Q}{A_{piston} - A_{rod}} \]

   For the retracting stroke:
   \[ V_{retracting} = \frac{Q}{A_{piston}} \]

3. **Load-Carrying Capacity (F):**
   The force can be calculated using the pressure and the effective area:

   \[ F = P \times A \]

   Where:
   - \( P \) is the pressure setting of the relief valve.
   - \( A \) is the effective area for the extension and retraction phases.

Using these formulas and the given data, you will be able to determine the required speed and load-carrying capacity for each stroke of the cylinder.
Transcribed Image Text:### Problem 7 In this problem, we are working with a double-acting cylinder that is connected to a regenerative circuit as shown in the schematic diagram. The following parameters are provided: - Relief valve setting: 110 bars - Piston area: 300 cm² - Rod area: 65 cm² - Pump flow rate: 0.0085 m³/s Your task is to determine the cylinder speed and the load-carrying capacity for the following scenarios: a. Extending stroke b. Retracting stroke #### Diagram Explanation The schematic diagram shows a double-acting cylinder connected in a regenerative circuit. The key components of the circuit include: - A double-acting cylinder - Relief valve - Directional control valve - Pump The diagram illustrates how the fluid flow is managed and directed to achieve the extension and retraction of the cylinder. ### Steps to Solve To find the cylinder speed and load-carrying capacity for both extending and retracting strokes, you will need to apply the principles of fluid mechanics and hydraulic systems. The following formulas and considerations might be useful: 1. **Flow Rate (Q):** Given in the problem as 0.0085 m³/s. 2. **Cylinder Speed (V):** The speed of the cylinder rod can be determined using the relationship between flow rate and area: For the extending stroke: \[ V_{extending} = \frac{Q}{A_{piston} - A_{rod}} \] For the retracting stroke: \[ V_{retracting} = \frac{Q}{A_{piston}} \] 3. **Load-Carrying Capacity (F):** The force can be calculated using the pressure and the effective area: \[ F = P \times A \] Where: - \( P \) is the pressure setting of the relief valve. - \( A \) is the effective area for the extension and retraction phases. Using these formulas and the given data, you will be able to determine the required speed and load-carrying capacity for each stroke of the cylinder.
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