You decide to test your hand strength using a device known as a manometer. The m

Question

You decide to test your hand strength using a device known as a manometer. The manometer works by taking a u-tube (which is simply a bit of tubing with some immiscible fluids inside it) and attaching one of the free ends to another vessel which, in this case, is flexible and can be squeezed. A diagram of the device is given below.

A.) You squeeze the manometer’s bulb and cause a height difference of h2=24cm in the red fluid (with density 10 times that of water). If the other end of the tube is open to the environment, what is the pressure at point 3 in the diagram? (assume standard altitude)

B.) What is the pressure at point 2?

C.) If the blue fluid in the diagram is water and squeezing the bulb causes that water to displace a column of the red fluid with a height of h1=12cm, find the pressure at point 1.

D.) What is the pressure at point A in the bulb’s center?

E.) If the surface area of your inner hand used to squeeze the bulb was 55 cm2, find the crushing force your hand exerted as you squeezed the bulb.

Explanation / Answer

A.pressure at point 3 = rho * H2 * g + pressure at top most point

= 10 * 1000*0.24 * 9.81 + 10^5 N/m^2

=123544 Pa

B.pressure at point 2 = pressure at point 3

=123544 Pa

C.)pressure at point 1 = atmospheric pressure - rho*H2*g

=23544 Pa

D.) pressure at point A =pressure at point 1

=23544 Pa

E. force = Pressure * area =    23544 pa * 55* 10^-4 m^2

= 129.492 N

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.