Question

A piston of small cross-sectional area a is used to exert a small force f on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A which can then support a large force. If the small piston has a diameter of 1.8 in and the large piston one of 108.0 in, what mass on the small piston will support 29.1 metric tons on the large piston? (1 metric ton = 1000 kg)

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A piston of small cross-sectional area a is used to exert a small force f on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A which can then support a large force. If the small piston has a diameter of 1.2 in and the large piston one of 36.0 in, what mass on the small piston will support 8.6 metric tons on the large piston? (1 metric ton = 1000 kg)

pressure = const

F1 / A1 = F2 / A2

F1 = 8.6 X 1000 X 9.81
A1 = Pi 36^2


F2 = ?
A2 = PI X 1.2^2


F2 = 8.6 X 1000 X 9.81 X 1.2^2 / 36^2 =93.74 N

mass on the small piston = F2 /9.81 = 9.5555 Kg