Question #162001

The motor on a construction-grade hydraulic shovel exerts 3.11 × 107 Pa of pressure on a fluid tank. The fluid tank is connected to a piston that has an area of 153 cm2. How much force does the piston exert?

Expert's answer

according to Pascal’s law\text{according to Pascal's law}

p=F1S1=F2S2p=\frac{F_1}{S_1}=\frac{F_2}{S_2}

F1=pS1F_1=p*S_1

p=3.11107Pap = 3.11*10^7Pa

S1=153cm2=153104m2S_1=153cm^2=153*10^{-4}m^2

F1=3.11107153104=475830NF_1=3.11*10^7*153*10^{-4}=475830N

Answer:475830 N



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