You confirmed that you are 54kg here at Earth using a weighing scale.

With the
same scale, you are brought to the surface of the moon to perform the same
measurement. Is the measurement the same? Why or why not?

Suppose that you weigh 54kg, what is your weight provided that you are in the
surface of the moon? You are in the surface of the earth? Hint: gearth-9.81m/s2 and
gmoon = 1/6

Determine the weight of a mass of 10 kg at a location where the acceleration of

gravity is 9.77 m/s2.

The weight of a 10-lb mass is measured at a location where g=32.1 ft/sec2 on a

spring scale originally calibrated in a region where g = 32.3 ft/sec2. What will be the
reading?

The acceleration of gravity is given as a function of elevation above sea level by

the relation g = 9.81 -3.32 X 10-6 h (m/s2) with 'h' measured in meters. What is the
weight of an airplane at 10 km elevation when its weight at sea level is 40 kN?

Determine the deceleration of (a) a 2200-kg car and (b) an 1100-kg car, if the
brakes are suddenly applied so that all four tires slide. The coefficient of friction
n=0.6 on the dry asphalt. (n= F/N where N is the normal force and F is the frictional
force).

What is the mass in grams of a 34 oz salt? Local gravity is 9.65 m/s2?

When a body is accelerated underwater, some of the water is also accelerated. This
makes the body appear to have a larger mass than it actually has. For a sphere at
rest this added mass is equal to the mass of one-half of the displaced water.
Calculate the force necessary to accelerate a 10-kg, 300-mm-diameter sphere which
is at rest underwater at the rate of 10 m/s2 in the horizontal direction. Use density
of H2O = 1000kg/m3.

You have 24 US gallons of water in a basin and you decided to put it in the 220ml
bottles. How many bottles you will need? Hint: 1 US gallon = 3.7854liters

Compute the volume occupied by revolving a circle of radius 3m from the axis
about 10m radius away from its centroid
 Estimate the density (kg/m3) of a solid log having a mass of 200kg, a diameter of
20cm and a length of 10m.

A composite wall was made through the combination of 'cement', 'gravel' and
'sand' with a volumetric ratio of 1:2:4 and a weight ratio of 2:3:5. If the specific gravity
of the object is 2.30 and that the total weight is 500kg, compute the density of each
component.

Three liquid substances of the same mass and have an S.G. of 1.20, 0.835 and 1.0
were being mixed to form a new compound. Estimate the resulting density.

A steam drum contains steam having an 86% quality. Assuming that the density
of Liquid part is 989kg/m3 and that of the vapor part is 1.23kg/m3, Estimate the
specific volume of the steam. (Note: 86% quality indicates the mass in vapor state)

Oil and water of S.G. of 0.78 and 1.0 are being mixed and filling a 20gallon basin. If
the oil is 30% less than the mass of the water, what is the resulting specific weight
(lb/ft3) of the mixture?

The mass of fluid system is 0.311 slug, its density is 301bft3 and g = 31fts2. Find a)
the specific volume, b) the specific weight and c) total volume.

A cylindrical drum (2ft diameter, 3ft height) is filled with a fluid whose density is
40lb/ft3. Determine the specific volume and specific weight of the substance where
g = 31.90ft/s2.

A golden-colored cube is handed to you. The person wants you to buy it for $100,
saying that is a gold nugget. You pull out your old geology text and look up gold in
the mineral table, and read that its density is 19.3 g/cm3. You measure the cube and
find that it is 2 cm on each side, and weighs 40 g. What is its density? Is it gold?
Should you buy it?

A crystal of a chemical salt weighs 6.423g in air and 2.873g when immersed in an
oil having a specific gravity of 0.858. What is the specific gravity of the salt? 10. A
piece of unknown material has an intricate shape. It has a mass of 126 g. You
submerge it to find it displaces 422 ml of water. What is the specific gravity of the
piece?
 Compute the absolute pressure in kPa underneath the surface of the seawater
which is 200m below the surface assuming that the density of seawater is
1200kg/m3. Let Patm = 101.325 kPa

Estimate the vacuum pressure that should be created by a suction pump to lift a
ground water that is 10m below the level ground. Neglect the effect of pipe friction.

Supposed that air (std.) has a uniform density of 1.2kg/m3, estimate how high
(meters) above the sea level where there exists a zero pressure. Assume that in the
given condition, barometric pressure at sea level is 101.325 kPa.

The manometer shown in figure below is used to measure the pressure in the
water pipe. Determine the water pressure if the manometer reading is 0.6 m.
Mercury is 13.6.

A manometer tube which contains mercury shown in the figure below is used to
measure the pressure PA in the air pipe. Determine the gage pressure PA. Specific
gravity of Hg= 13.6 times the specific gravity of H2O.
 Determine the pressure difference between the water pipe and the oil pipe shown
in the figure below.

Convert 567K to Rankine.

At what temperature does Degree Celsius and Degree Fahrenheit have the same
and equal reading?

The temperature of a body is 50°F. Find its temperature in °C, K, and R.

Show the derivation of temperature conversion using the linear interpolation

method.
 Air enters a nozzle steadily at 2.21 kg/m3 and 40 m/s and leaves at 0.762 kg/m3
and 180 m/s. If the inlet area of the nozzle is 90 cm2, determine (a) the mass flow
rate through the nozzle, and (b) the exit area of the nozzle.

Air whose density is 0.078 lbm/ft3 enters the duct of an air-conditioning system
at a volume flow rate of 450 ft3 /min. If the diameter of the duct is 10 in, determine
the velocity of the air at the duct inlet and the mass flow rate of air.

A 1-m3 rigid tank initially contains air whose density is 1.18 kg/m3. The tank is
connected to a high-pressure supply line through a valve. The valve is opened, and
air is allowed to enter the tank until the density in the tank rises to 7.20 kg/m3.
Determine the mass of air that has entered the tank.

Air enters a 28-cm diameter pipe steadily at 200 kPa and 20°C with a velocity of 5
m/s. Air is heated as it flows and leaves the pipe at 180 kPa and 40°C. Determine (a)
the volume flow rate of air at the inlet, (b) the mass flow rate of air, and (c) the
velocity and volume flow rate at the exit.

Water at a rate of 60 GPM flows in a 3 inch-diameter pipe at 100 psia and 150°F.
Find a) the volumetric flow rate, b) mass flow rate, and c) flow velocity. Note: At P =
100 psia and T = 150 °F: v=0.01634 ft3 /lbm

A 4-ft diameter tank at atmospheric pressure contains two inlets and one outlet
port. The first inlet port has a flow diameter of 3.0 in. and the flow diameter of the
second inlet port is 2.0 in. Water enters the first inlet port at 5 ft/s. Water enters the
second inlet port at 8 ft/s. Water leaves the tank at a rate of 2 lbm/s. Find the rate of
change of the tank water level (ft/s). Assume density of water is 62.4 lbm/ft3.

If a pump discharges 75 gpm of water whose specific weight is 61.5lb/ft3 (g-31.95

ft/s2), find (a) the mass flowrate in lb/min, and (b) total time required to fill a vertical
cylindrical tank 10 ft in diameter and 12 ft high.
 Air enters an adiabatic nozzle steadily at 300 kPa, 200°C, and 30 m/s and leaves
at 100 kPa and 180 m/s. The inlet area of the nozzle is 80 cm2. Determine (a) the
mass flow rate through the nozzle, (b) the exit temperature of the air, and (c) the
exit area of the nozzle.

Assuming that there are no heat effects and no frictional effects, find the kinetic
energy and speed of a 3220 lbm body after it falls 778 ft from rest. Start with the
steady flow equation, deleting energy terms which are irrelevant.

Helium is to be compressed from 120 kPa and 310 K to 700 kPa and 430 K. A heat
loss of 20 kJ/kg occurs during the compression process. Neglecting kinetic energy
changes, determine the power input required for a mass flow rate of 90 kg/min.

Air flows steadily at the rate of 0.5 kg/s through a compressor, entering at 7 m/s
speed, 100 kPa pressure and 0.95 m3/kg specific volume, and leaving at 5 m/s, 700
kPa, and 0.19 m3/kg. The internal energy of the air leaving is 90 kJ/kg greater than
that of the air entering. Cooling water in the compressor jackets absorbs heat from
the air at the rate of 58 kW. Compute the compressor work in kW.
 In a steady flow apparatus, 135 kJ of work is done by each kg of fluid. The specific
volume of the fluid, pressure and speed at the inlet are 0.37 m3/kg, 600 kPa, and 16
m/s. The inlet is 32 m above the floor, and the discharge pipe is at floor level. The
discharge conditions are 0.62 m3/kg, 100 kPa, and 270 m/s. The total heat loss
between the inlet and discharge is 9 kJ/kg of fluid. In flowing through this
apparatus, does the specific internal energy increase or decrease, and by how much?

Air flows steadily through an adiabatic turbine, entering at 150 psia, 900°F, and
350 ft/s and leaving at 20 psia, 300°F, and 700 ft/s. The inlet area of the turbine is
0.1 ft2. Determine (a) the mass flow rate of the air and (b) the power output of the
turbine.

Nitrogen gas at 60 kPa and 7°C enters an adiabatic diffuser steadily with a velocity
of 200 m/s and leaves at 85 kPa and 22°C. Determine (a) the exit velocity of the
nitrogen and (b) the ratio of the inlet to exit area A1/A2.

Air at 80 kPa, 27°C, and 220 m/s enters a diffuser at a rate of 2.5 kg/s and leaves at
42°C. The exit area of the diffuser is 400 cm2. The air is estimated to lose heat at a
rate of 18 kJ/s during this process. Determine (a) the exit velocity and (b) the exit
pressure of the air.

Air enters a nozzle steadily at 50 psia, 140°F, and 150 ft/s and leaves at 14.7 psia
and 900 ft/s. The heat loss from the nozzle is estimated to be 6.5 Btu/lbm of air
flowing. The inlet area of the nozzle is 0.1 ft2. Determine (a) the exit temperature of
air and (b) the exit area of the nozzle.
 Air in a 10 m3 tank has a pressure of 500 kPa and temperature of 40°C. Determine
the mass of air in the tank.

The pressure and temperature of the vessel is 380 kPa and 60°C, what is the
density of air in kg/m3?

Find the mass of the Carbon Dioxide inside a 10 m3 reservoir tank having a
pressure of 20 psia and a temperature of 200 °F.

What is the specific volume of air at 15 psia and 90 °F in lbm

A reservoir contains 0.75 kg of air initially at a temperature of 29 °C and the air

increases by 175 °C. Determine the change in internal energy, kJ.

A tank contains Helium (k=1.66), is heated from 83°F to a final temperature of

190°F in an unknown process. Find the change of internal energy,

A rigid tank contains a perfect gas with R = 2.08- and k= 1.67. Calculate the
final temperature in °C if it initially at 30 °C and 15 kJ/kg of heat is added.

Oxygen at 200 kPa, 27°C is contained in a piston-cylinder device arranged to

maintain a constant pressure. How much work in kJ/kg is produced by this system
when it is heated to 227°C?

An ideal gas at 0.60 atmospheres and 87°C occupies 0.450 liter. How many moles
are in the sample? (R = 0.0821

If the initial volume of an ideal gas is compressed to one-half its original volume
and to twice its temperature, the pressure will be?

Find the mass of carbon dioxide having a pressure of 20 psia at 200°F with a 10
ft3 volume.
 A perfect gas has a value of R = 58.8 lb-ft and k= 1.26. If 20 Btu are added to 5 lbm

lbm-F of this gas at constant volume when initial temperature is 90°F, find the final
temperature.

At ordinary room temperature, it was found that specific heat ratio 'k' of air was
1.40. Estimate the R, Cp and Cv of air assuming that air content is solely composed
of 21% of Oxygen and the rest is Nitrogen.

Find the flow work done by Carbon Dioxide if its change in internal energy is 260
kJ/kg. Use KCO2 = 1.29

A reservoir contains 2.83 ft3 of CO2 at 760psia and 66°F. An evacuated tank is filled
from the reservoir to a pressure of 300 psia and a temperature of 40°F while the
pressure of the reservoir decreases to 600psia and the temperature to 50°F. What
is the volume (ft3) of the tank?