piston hydraulic system can lift very heavy objects with a force significantly lower than that of direct lifting. Imagine a system in which the cross-sectional area of the piston is rectangular rather than a typical circle. The cross-sectional area of the small piston is 20 cm × 40 cm, while the cross-sectional area of the large piston is 2.5 meters × 6 meters. (a) How much force would need to be applied to the smaller piston to lift a 1300-kg car? (Ignore any height differences in the fluid) (b) Use proportional reasoning, order of magnitude, and/or related quantities sense-making techniques to determine if your answer to (a) is reason

Refrigeration and Air Conditioning Technology (MindTap Course List)
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Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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1. The piston hydraulic system can lift very heavy objects with a force significantly lower than that of direct lifting. Imagine a system in which the cross-sectional area of the piston is rectangular rather than a typical circle. The cross-sectional area of the small piston is 20 cm × 40 cm, while the cross-sectional area of the large piston is 2.5 meters × 6 meters.

(a) How much force would need to be applied to the smaller piston to lift a 1300-kg car? (Ignore any height differences in the fluid)

(b) Use proportional reasoning, order of magnitude, and/or related quantities sense-making techniques to determine if your answer to (a) is reasonable?

force
(smaller)
large piston
small piston
B
distance
moved
distance
moved
force (greater)
liquid that cannot
be compressed
Figure provided by OpenStax.
Transcribed Image Text:force (smaller) large piston small piston B distance moved distance moved force (greater) liquid that cannot be compressed Figure provided by OpenStax.
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