A HYDRAULIC JACK HAS AN INPUT PISTON OF AREA 0.050M AND AN OUTPUT PISTON OF AREA 0.70M.HOW MUCH FORCE ON THE INPUT PISTON IS REQUIRED TO LIFT A CAR WEIGHING 12000N
To determine the force required on the input piston to lift a car weighing 12000N, we can use the principle of Pascal's law, which states that the pressure applied to a fluid in a closed container is transmitted equally in all directions.
Step 1: Find the pressure exerted by the car on the output piston.
Pressure = Force / Area
Pressure (output) = 12000N / 0.7m^2
Pressure (output) ≈ 17142.86 Pa
Step 2: Determine the pressure acting on the input piston.
According to Pascal's law, the pressure is transmitted equally in all directions.
Pressure (input) = Pressure (output)
Pressure (input) = 17142.86 Pa
Step 3: Calculate the force on the input piston.
Force (input) = Pressure (input) * Area (input)
Force (input) = 17142.86 Pa * 0.05m^2
Force (input) ≈ 857.14 N
Therefore, a force of approximately 857.14 Newtons is required on the input piston to lift a car weighing 12000 Newtons using the given hydraulic jack.
To determine the force required on the input piston of a hydraulic jack to lift a car weighing 12,000 N, we can use the principle of Pascal's law. According to this law, the pressure in a confined fluid is transmitted equally in all directions.
The formula to calculate pressure is:
Pressure = Force / Area
First, let's calculate the pressure exerted by the car on the output piston. We know the weight of the car is 12,000 N, and the area of the output piston is 0.70 m².
Pressure on the output piston = Force / Area
Pressure on the output piston = 12,000 N / 0.70 m²
Now, let's calculate the pressure exerted on the input piston. We know the area of the input piston is 0.050 m².
Pressure on the input piston = Pressure on the output piston
Now, to find the force required on the input piston, we can rearrange the equation for pressure:
Force = Pressure × Area
Force on the input piston = Pressure on the input piston × Area of the input piston
Substituting the values we calculated earlier:
Force on the input piston = (12,000 N / 0.70 m²) × 0.050 m²
Simplifying the equation:
Force on the input piston = 8,571.43 N
Therefore, the force required on the input piston of the hydraulic jack to lift the car weighing 12,000 N is approximately 8,571.43 N.