7. A 5/8 inch diameter garden hose is used to fill a
round swimming pool 6.1 m in
diameter. How long will it take
to fill the pool to a depth of 1.2 m is water issues
from the
hose at a speed of 0.4 m/sec?
8. A very large vat of water has a hole 1 cm in
diameter located at a distance 1.8 m
below the
water level. How fast does water exit
the hose?
9. A house with its own well has a pump in the
basement with an output pipe of
inner radius
of 6.3 mm. Assume that the pump can
maintain a gauge pressure of
410 kPa in
the output pipe. A shower head in the
second floor (6.7 m above the
pump’s
output pipe) has 36 holes, each of radius 0.33 mm. The shower is on “full
blast” and
no other faucet in the house is open. a)
Ignoring viscosity, with what
speed does
water leave the showerhead? b) With what
speed does water move
through the
output of the pump?
10. A water tower supplies water through the plumbing
in a house. A 2.54 cm
diameter
faucet in the house can fill a cylindrical container with a diameter of
44 cm and a
height of 52 cm in 25 sec. How high
above the faucet is the top of the
tower? Assume that the diameter of the tower is so
large compared to that of the
faucet that
the water at the top of the tower does not move.
heat
7. A hollow aluminum cylinder has an internal capacity
of 2.00 liters at 20oC. It is
completely
filled with turpentine and then slowly warmed to 80oC. The average
coefficient
of linear expansion of aluminum is 24 x 10–6/oC and the
average
volume
expansion coefficient of turpentine is 9 x 10–4/oC) a) How much
turpentine
overflows? b) If the cylinder is then
cooled back to 20oC, will its
volume be
the same?
8. What temperature change would cause a 0.10%
increase in the volume of a
quantity of
water (β = 2.1 x 10–4/oC)
that was initially at room temperature?
9. A thin spherical shell of silver has an inner
radius of 2 x 19–2 m when the
temperature
is 18oC. The shell is heated
to 147oC. Find the change in
the interior
volume of
the shell. The coefficient of volume expansion of shell is 57 x 10–6/oC.
10. A brass rod and an aluminum rod of the same
diameter are each separately
attached to
an immovable wall opposite each other.
The lengths of the rods are
2.0 m and
1.0 m, respectively. When the
temperature is 28oC, the air gap between
the rods is
1.3 x 10–3 m. At what temperature will the gap be closed?
