A mass of

95.0\,\mathsf{kg}

is supported by a piston over oil in a circular cylinder with inside diameter of

{d = 7.35\, \mathsf{cm.}}

What is the oil pressure at the piston?

A Boeing 737 jet's fuel has a density of

810\,\mathsf{kg/m^3}

. The jet has a fuel capacity of

26000\, \mathsf{L}

. What is the mass and the weight of this fuel when the plane is full?

An oil tanker carries

1.500\times 10^6

barrels of medium fuel oil at

25\degree\!\mathsf{C}

where

1\textsf{ barrel }= 159.0\,\textsf{L}

. Determine the weight of the oil.

A vessel contains

512\,\mathsf{L}

of fresh water at

25\degree\!\mathsf{C}.

The water is heated to

75\degree\!\mathsf{C}.

Assuming no evaporation, what is the percentage increase in volume due to the temperature increase?

An flat-bottomed cylindrical vessel, open at the top, contains

360\,\textsf{L}

of water at

20\degree\!\mathsf{C}

. At this temperature, the depth of water,

h_{20}

, in the vessel is

650\,\textsf{mm}

Determine the inside diameter of the vessel.
The water is heated to $55\degree\! C$ . Determine the new depth, $h_{55}$ .
The water is heated further, to $90\degree\! C$ . At $75\degree\! C$ , water begins to flow over the open top of the vessel. Determine the height of the vessel.
The water remaining in the vessel cools to $25\degree\! C$ . What is the water level, $h_{25}$ , at this temperature?

(Assume that there is no evaporation and that the dimensions of the vessel remain constant throughout.)

The simple barometer shown uses mercury for the gauge fluid. There is a vacuum above

B

and, disregarding the minimal vapour pressure from the mercury, the pressure at

B

is effectively zero. Determine the atmospheric pressure at

A

If the gauge fluid was water at

25\degree\!\textsf{C}

, what would be the height of the column for this atmospheric pressure?

A simple U-tube manometer is used to measure the gauge pressure in a pipe at

A

. Given that the surface at

F

is open to the atmosphere, find

P_A

A differential manometer is used to measure the pressure difference between point

A

and point

B

in a pipe containing a flow of water. (Given that the fluid between

A

and

B

is not static, the pressures at

A

and point

B

, although at the same level, are not necessarily identical.) The fluid between

A

and

D

, and between

B

and

C

, is water and may be considered static. The gauge fluid between

D

and

C

is mercury, and static. Determine

P_A-P_B