18 April, 22:34
A car on a 25-m2 hydraulic lift platform weighs 15,000 N. If the force on the smaller piston required to lift it is 1/100 its weight, what is the area of the smaller piston?
18 April, 22:51
The area is 2.5 m²
Step 1: Data given
A car has a 25 m² hydraulic lift platform that weighs 15000 N
The smaller piston required a force to lift = 1/100 its weight
Step 2: Calculate the area of the smaller piston
Pressure = Force / Area
F1 / A1 = F2 / A2
⇒ with F1 = weight of the hydraulic lift = 15000 N
⇒ with A1 = area of the hydraulic lift = 25 m²
⇒ with F2 = 1/100 of it's weight = 1500 N
A2 = F2 / (F1/A1)
A2 = 1500 (1500/25)
A2 = 2.5
The area is 2.5 m²
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» A car on a 25-m2 hydraulic lift platform weighs 15,000 N. If the force on the smaller piston required to lift it is 1/100 its weight, what is the area of the smaller piston?