Question

A vacuum system has a hose 3.16 cm in diameter. With the end of the hose placed perpendicularly on the flat face of a brick, what is the weight (in N) of the heaviest brick that the system can lift? N

Answer 1

To find the weight of the heaviest brick the vacuum system can lift, we need to calculate the maximum force the vacuum can exert. This force is equal to the pressure difference times the area over which it acts.

The pressure difference is the atmospheric pressure (since the pressure inside the vacuum is close to zero), which is about 101325 Pa. The area is π*(d/2)^2, where d is the diameter of the hose.

So, the maximum force is F = P*A = 101325 Pa * π*(0.0316 m/2)^2. The weight of the brick is equal to this force (since weight = mass * gravity, and the force needed to lift the brick equals the weight of the brick).

Step-by-step explanation: