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
Answer:
The normal force is the force that surfaces exert to prevent solid objects from passing through each other. If the object is at rest, the net force on the object is equal to zero. Therefore, the downward force (weight) must be equal to the upward force (normal force).
Weight = (mass) x (acceleration of gravity).
When I calculate the weight of the 81.6 kg, the number I use for gravity
is 9.807 m/s². That gives a weight of 800.25 N, so I think that's where the
question got the crazy number of 81.6 kg ... whoever wrote the problem
wants the hay to weigh 800 N, and that's what I'll use for the weight.
The forces on the bale of hay are gravity: 800N downward, and the
guy on the truck with the pitchfork pulling upward on it with 850 N.
The net force on the bale is (850 - 800) = 50 N upward.
Use Newton's second law of motion: (Net force) = (mass) x (acceleration)
Divide each side by 'mass' :
Acceleration = (net force)/(mass)
On the hay wagon,
Acceleration = (50 N upward) / (81.6 kg) = <em>0.613 m/s² upward</em>
Nuclear fusion, converts hydrogen atoms into helium