A cylinder measuring 7.8cm wide and 9.3cm high is filled with gas and the piston pushed...
A cylinder measuring 7.8cm wide and 9.3cm high is filled with gas and the piston pushed down with a steady force.Calculate the force on the piston if the pressure in the gas is measured to be 633.kPa Write your answer in units of kilonewtons. Round your answer to 2 significant digits.
Homework Answers
Force on piston = 3.0 kN (kN is kiloNewtons)
Explanation
Diameter of cylinder = 7.8 cm = 7.8 x 10-2 m
area of cylinder = (pi) * (diameter)2 / 4
area of cylinder = (3.14) * (7.8 x 10-2 m)2 / 4
area of cylinder = 0.00478 m2
Force on piston = (pressure) * (area of cylinder)
Force on piston = (633 kPa) * (0.00478 m2)
Force on piston = (633 x 103 Pa) * (0.00478 m2)
Force on piston = (633 x 103 N/m2) * (0.00478 m2)
Force on piston = 3024.7 N
Force on piston = 3024.7 N * (1.00 kN / 1000 N)
Force on piston = 3.0 kN
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