A two-stage gear train consists of four gears meshed together (Figure 10). The second and third gears are attached, so that they share the same angular velocity ( ω 2 = ω 4 ) . Find a formula giving the angular velocity of the fourth gear, ω 2 , in terms of ω 1 and the values of n 1 , n 2 , n 3 and n 4 .
A two-stage gear train consists of four gears meshed together (Figure 10). The second and third gears are attached, so that they share the same angular velocity ( ω 2 = ω 4 ) . Find a formula giving the angular velocity of the fourth gear, ω 2 , in terms of ω 1 and the values of n 1 , n 2 , n 3 and n 4 .
A two-stage gear train consists of four gears meshed together (Figure 10). The second and third gears are attached, so that they share the same angular velocity
(
ω
2
=
ω
4
)
. Find a formula giving the angular velocity of the fourth gear,
ω
2
, in terms of
ω
1
and the values of
n
1
,
n
2
,
n
3
and
n
4
.
7. From a point 20 m away on a level ground, the angle of elevation to the bottom of a
the top of the window is 32°. Calculate the
window is 27° and the angle of elevatim
height of the window.
(3 marks)
32
SOUCAHTOA
Rom
Coso-Adj
opponite
1270
H
X
Hyp
Tant=OPP
Adj
20 #
Zom
Adjacent
CoS2E 20 XHX Tanz 20
20
K
-0.0445503261 -1.764201788
0-044550326 60044550320
(1 mark) 3960
8. All odd numbers from 1 to 10 are arranged in descending order to form a number.
(i) Write the number.
35798.
97531
31
(ii) Write the total value of the second digit of the number formed in (a) (i)
FA 7X1000-7000
이
(1 mark)
9. A cylinder has a diameter of 28 cm and the height is 18 cm. Calculate its volume.
2
22 × 14 × 14 × 18
-110880m
3
(3 marks)
10. The figure below shows a right pyramid with AB = 3 cm, BC = 5 cm, and AV
VC = VD = 4 cm. Draw its net.
V
3+
12
7/18
(2/20
2105
SSS
20
Find the exact values of sin(2u), cos(2u), and tan(2u) given
2
COS u
where д < u < π.
2
Establish the identity.
1 + cos u
1 - cos u
1 - cos u
1 + cos u
= 4 cot u csc u
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