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A medium sized car typically weighs 1000kg.

Gravity force = 9.8 N/Kg
A hydraulic system to jack the care up above an inspection pit has for slave cylinders whose pistons have a cross section area of 0.01m2. The cross-section area of the master cylinder piston is 0.00125m2.

What is the weight of the car?

User Tonywei
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1 Answer

1 vote

Answer:

9800 N.

Step-by-step explanation:

To calculate the weight of the car using the hydraulic system, we first find the force exerted by the master cylinder and then determine the total force exerted by all four slave cylinders combined.

Force exerted by the master cylinder:

The force exerted by the master cylinder can be calculated using the formula:

Force (master) = Pressure (master) × Area (master)

Given data:

Gravity force = 9.8 N/kg

Weight of the car = 1000 kg

Cross-sectional area of the master cylinder piston = 0.00125 m^2

Force (master) = Gravity force × Weight of the car

Force (master) = 9.8 N/kg × 1000 kg

Force (master) = 9800 N

Total force exerted by all slave cylinders combined:

Since the force is transmitted evenly to all slave cylinders, the force exerted by each slave cylinder is the same as the force exerted by the master cylinder.

Total Force (slave) = Force (master) × Number of Slave Cylinders

Total Force (slave) = 9800 N × 4

Total Force (slave) = 39200 N

The weight of the car:

The total force exerted by all slave cylinders combined is equal to the weight of the car.

Weight of the car = Total Force (slave)

Weight of the car = 39200 N

Therefore, the weight of the car is 39200 N, which is equivalent to approximately 9800 kg (since 1 N = 0.102 kg due to Earth's gravity force).

User DataGraham
by
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