Use the formulas for the hydraulic press to find F _l . F _s = 52 lb, r _l = 9 in. and r _s = 1 in. A) 468 lb B) 4,212 lb C) 5.78 lb D) 2,106.00 lb E) 4,192 lb

Question

Quizplus · Accepted Answer

The formula for the hydraulic press is:

F S1U1B1/F S1U1B0 = A S1U1B0/A S1U1B1

Where,
F S1U1B1 = Force applied to small piston (known)
F S1U1B0 = Force applied to large piston (unknown)
A S1U1B0 = Area of large piston (known)
A S1U1B1 = Area of small piston (known)

Also, we have the formula:

A S1U1B1/A S1U1B0 = (r S1U1B0)^2/(r S1U1B1)^2

Where,
r S1U1B1 = radius of small piston (known)
r S1U1B0 = radius of large piston (known)

Multiplying these two equations, we get:

F S1U1B1/F S1U1B0 = (r S1U1B0/r S1U1B1)^2

Substituting the given values, we get:

52/F S1U1B0 = (9/1)^2

Solving for F S1U1B0, we get:

F S1U1B0 = 4,212 lb

Therefore, the answer is B.

Use the Formulas for the Hydraulic Press to Find F