J. - Quia

J'·~'···""·~r-~.~~.
-~-.
. Name
+,
-·-··_~B£'LTlbN-lL1.5 -' rv15PSw ...
'.'
.".
--Example 3:~
~
Class
Date _~
__
~
. ""'-~--
\
,",
'.
.
~
."
.
.\....
.
...
'j
~:
Am~cluri~has-awo;k
output of8joules and·iequires.' ,
. 10 joules of work input to operate. What is the
machine's efficiency? ,
.
f
~;:
~.-~.
Given: Work output == 8 J
Work input. = ·10 J
".:
f
. ~l
~~
t:;
Unknown: Efficiency
;;
~~
Workoutput
'
Equation: Efficiency = Work input X 100%
•I
'.
.
..
'.
.
8J
Solution: Efficiency = 10 J X 100%
Example 4:
Ii
•
=
i1
II
.
80%
i!.,~~
..-
...~
,;.
What is the work output of a machine that has a work
input of 2,800joules and an efficiency of 923, percent?
"
Given: Work input: 2,800 J
Efficiency = 92.3%
~!,
Unknown: Work output
Work output
Equation: Efficiency =, W or k"mpu
Solution: Solve the equation for work output:
"--""
'"';
(();.\!
'.;""
Work output = Efficiency
X
,.
,i
Substitute the given values in this equation:
-ci
'J
'1
;1
CD
>
,
~
['"
~
Work output = 92.5% x 2,800 J = 2,590 J
-=
0>
"<=
.]
;!-j
<C
C5
=e
=
<=
['"
<=
C>
c....
:
Work input
Practice Exercises
Exercise 1:
c....
CD
V>
<:>
<=
·n
_ htNT ·l),,-,T. _ ;J.~O rV\
~
::0
1 V'ft{)r-
=
a.
~
A ski lift carries people along a 220-meter cable up the
side of a mountain. Riders are lifted a total of
110 meters in elevation. What is the ideal mechanical
advantage of the ski lift?
.
.
~
<:>
0>
'I
:i;
oovovr
DI$T. -.' J 10m
.
;11
110rvt ~i!
,Ii
-Gll
.
j!
.:;
. -~
i!'
l~
H·
...;
.E
<=C>
=
8
=
-=
•.....•
<=
C>
~
<:>
, Exercise 2:
<D
c....
@
_
~.
I vv: fl-
The ideal mechanical advantage. of a machine is 3.2 and
its output distance is 2.5 meters. What is the input
distance?
'
."\
1•.•
VI NT ()J~Tv'
,,,,f>vf'1)17.
•__\11V,) D/S! •
OlJT(VT
L-,
= I"'" Age>
DJ ~T.
== ~,. ~ J. 5(Y\)
=,;,
~
'HI
ili!
u~i
{§mJ
':1!!
.;;;
,-,
---.:--~
,
Physical Science Math Skills and Problem Solving Workbook
57
in
m
,:.~