fluids, work and power: student success criteria i can solve problems and conduct an investigation...
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Fluids, Work and Power:Student Success CriteriaI can solve problems and conduct an investigation
related to the relationships between force, area, pressure, volume, and time in a hydraulic or pneumatic system.
SPH4C
Volume Flow RateFluids may be used
to do work. The movement of fluid is a system is often given in terms of the volume flow rate:
t
VqV
Volume Flow Rate: ExampleA water jet cutter needs a flow rate of 3.3
L/min and a time of 18 s to cut a certain metal component. What is the volume of water required?
Volume Flow Rate: ExampleA water jet cutter needs a flow rate of 3.3
L/min and a time of 18 s to cut a certain metal component. What is the volume of water required?
?
18
055.060
min1
min3.3
V
st
s
L
s
LqV
Volume Flow Rate: ExampleA water jet cutter needs a flow rate of 3.3
L/min and a time of 18 s to cut a certain metal component. What is the volume of water required?
Volume Flow Rate: ExampleA water jet cutter needs a flow rate of 3.3
L/min and a time of 18 s to cut a certain metal component. What is the volume of water required?
Lss
LV
tqVorVtqt
Vq VVV
99.0)18)(055.0(
Volume ConversionsTo convert litres to cubic metres, use the
conversion factor:
Lm 10001 2
Volume ConversionsTo convert litres to cubic metres, use the
conversion factor:
Example:
Lm 10001 2
33
00099.01000
199.0 m
L
mL
Fluid SpeedThe speed of the fluid may be
determined by:
A
q
tA
V
tAV
t
dv V
Fluid SpeedThe speed of the fluid may be
determined by:
If the volume is a cylinder, the area is:
A
q
tA
V
tAV
t
dv V
2rA
Fluid Speed ExampleIf the radius of the water jet cutter is 0.34 mm,
what is the speed of the water?
Fluid Speed ExampleIf the radius of the water jet cutter is 0.34 mm,
what is the speed of the water?
Fluid Speed ExampleIf the radius of the water jet cutter is 0.34 mm,
what is the speed of the water?
s
m
msm
A
qv
v
s
m
L
m
s
Lq
mmrA
V
V
150000000363.0
000055.0
?
000055.01000
1055.0
000000363.0)00034.0)(14.3(
3
33
222
Pressure, Work, and PowerThe equations for pressure, work, and
power are, as before:
Pressure, Work, and PowerThe equations for pressure, work, and
power are, as before:
Pressure, Work, and PowerThe equations for pressure, work, and
power are, as before:
Pressure, Work, and PowerThe equations for pressure, work, and
power are, as before:
Pressure, Work, and PowerThe equations for pressure, work, and
power are, as before:
Fvt
dF
t
WP
dFWA
Fp
Pressure and Power ExampleIf the water jet cutter exerts a force of 120 N,
what is (a) the pressure and (b) the power of the water jet?
Pressure and Power ExampleIf the water jet cutter exerts a force of 120 N,
what is (a) the pressure and (b) the power of the water jet?
kPap
Pap
m
Np
A
Fp
330000
330000000
000000363.0
1202
Pressure and Power ExampleIf the water jet cutter exerts a force of 120 N,
what is (a) the pressure and (b) the power of the water jet?
kPap
Pap
m
Np
A
Fp
330000
330000000
000000363.0
1202
Pressure and Power ExampleIf the water jet cutter exerts a force of 120 N,
what is (a) the pressure and (b) the power of the water jet?
kPap
Pap
m
Np
A
Fp
330000
330000000
000000363.0
1202
kWP
WPs
mNP
FvP
18
18000
)150)(120(
More PracticePneumatically-Powered Toys Lab
Activity