Download - Graph presentation
WHAT IS GRAPH
a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at
right angles. Graph is worth a million words
WHAT IS CO-ORDINENT?a pair of elements a, b having the property that ( a, b) =
(u, v)OR
Two numbers written in a certain order. Usually written in parentheses like this: (4,5) Can be used to show the position on a graph, where the "x" (horizontal) value
is first, and the "y" (vertical) value is second.For example:
Here the point (12,5) is 12 units along, and 5 units up.One can not work without an other
CO-ORDINATE OF GRAPH
The following are the co-ordinate of graph:
1. Abscissa= x-co-ordinate2. ordinate= y-co-ordinate
WHAT IS DIMENSION?
a measurable extent of a particular kind, such as length, width, depth, or height.
(physical )1 dimension : Length2 dimension : Length and width3 dimension : Length, Width and Height
WHAT IS LINE?
It is path between two points.e.g. Here, A and B are the two points, a b Line can never be drawn but we do it to teach
and understand
WINDING RATE
• FORMULA : • WINDING RATE m/min = 25.13 (d) • Y = X
D 3 4 5 6
W/R 75.39 100.52 125.65 150.78
Example #2:This shows how one gear connected to the motor, can cause the other gear to move in the opposite direction which changes the
direction of the motion.
The relationship between the teeth and speed of a gear:
This shows how the size and number of teeth affects the speed of the gear.
Hyperbola showing the relationship of speed and teeth:This shows how increase in one variable causes a decrease in the other and vice
versa.
The actual formula:
•Gear train: when 2 or more gears are joined together for a particular purpose.•Driver gear: a gear which is connected to the motor.•Driven gear: a gear which is connected to the driver gear.
Velocity of driven= Velocity of driver * (# of teeth in driver gear/ # of teeth driven)
•Manipulation of the formula:
Velocity of driven/ Velocity of driver= # of teeth in driver gear/ # of teeth driven
Number of teeth in driven gear 15 20 25 30 35
Velocity of driven gear 667 500 400 334 286
Velocity of driven= Velocity of driver * (# of teeth in driver gear/ # of teeth driven) = (200*50/15) = 667
15 20 25 30 350
100
200
300
400
500
600
700
Number of teeth in driven gear
Velo
city
of d
riven
gea
r
Twist factor:It measures how much turns a yarn has and can be calculated by counting the number of twists in an
inch of yarn.Twist is inserted into the fine strand of fibres to hold the fibres together. Without twist, the fine strand of
fibres would be very weak and of little practical. Formula:Twist factor= (turns per centimetre) √linear density
Twist factor 30 35 35
Turns per centimetre 6 7 8
Twist factor= (turns per centimetre) √linear density 30 = (x) √25 30/5 = x 6 = x