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Novay_Z [31]
3 years ago
13

A hydraulic press must be used to press-fit two components together in an assembly process. the system must generate at least 77

5 lb of force to perform the press fit. the piston at the input cylinder is pushed with a force of 250 lb and has an area of 30 in.2 . the output can use up to 15 cylinders that are each 30 in.2 . how many cylinders are needed?
Physics
1 answer:
Kobotan [32]3 years ago
8 0
The pressure generated by the piston at the input cylinder must be:

p = F / A = 250 lb-f / 30 in^2


The pressure generated by the piston at the output cylinders is p = F / A = 775 lb-f / A.


Pascal principle rules that both pressures are equal, so:


250 lb-f / 30 in^2 = 775 lb-f / A => A = 775 lb-f * 30 in^2 / 250 lb-f = 93 in^2


Gvien that each output cylinder are 30in^2 you need 93 / 30 = 3.1 cylinders.


Which means that at least you need 4 cylinders to generate a force at least of 775 lb-f.


Answer: 4
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