Title: Hydraulic Jack Calculations Worksheet

Instructions: 1. Given the area of the piston head and an input force, calculate the pressure in the hydraulic fluid. 2. Use the area on the output piston to calculate the output force. 3. Refer to the diagram of the hydraulic setup to assist with calculations.

Diagram: _______________________ | | | Hydraulic | | Jack | |_______________________| | | | | | | | | | | | | | | |_______________________|

Given: - Area of the piston head (A1) = ___ (units^2) - Input force (F1) = ___ (units)

Calculations: 1. Calculate the pressure in the hydraulic fluid: - Pressure (P) = Force (F1) / Area (A1) - P = ___ (units^2)

1. Determine the area on the output piston (A2) using the given ratio:
   • Area ratio (AR) = A2 / A1
   • AR = ___ (units^2)
2. Calculate the output force (F2) using the area ratio:
   • Output force (F2) = Pressure (P) * Area (A2)
   • F2 = ___ (units)
3. Answer the following questions: a) What is the pressure in the hydraulic fluid?
   • ___ (units^2)

   b) What is the area on the output piston? - ___ (units^2)

   c) What is the output force? - ___ (units)

Note: Make sure to include the appropriate units in your calculations and final answers.

Example: Given: - Area of the piston head (A1) = 10 cm^2 - Input force (F1) = 50 N

Calculations: 1. Calculate the pressure in the hydraulic fluid: - Pressure (P) = Force (F1) / Area (A1) - P = 50 N / 10 cm^2 = 5 N/cm^2

1. Determine the area on the output piston (A2) using the given ratio:
   • Area ratio (AR) = A2 / A1
   • AR = 2

   Since the area ratio is given as 2, we can assume that A2 = 2 * A1. A2 = 2 * 10 cm^2 = 20 cm^2

2. Calculate the output force (F2) using the area ratio:
   • Output force (F2) = Pressure (P) * Area (A2)
   • F2 = 5 N/cm^2 * 20 cm^2 = 100 N

Answers: a) The pressure in the hydraulic fluid is 5 N/cm^2. b) The area on the output piston is 20 cm^2. c) The output force is 100 N.