3. INTRODUCTION
A gear is a wheel with teeth, sometimes known
as a cog, whose job is to transmit power from
one machine's part to another in order to
accelerate or decelerate speed, increase force
or change the direction of a machine. To be
able to work with this simple machine, at least
two wheels must have their teeth locked into
each other. Since teeth fit together, when on
wheel turns, the other turns too.
4. USES OF GEARS
They are used for:
Changing the direction of rotation
Increasing or decreasing the rotation speed
Increasing force
Keeping the rotation of two axis synchronized
Measuring time
1. Transmit power or energy from one shaft to another.
2. Change the speed of shafts to either high or low
speed
3. Change the running direction of a shaft.
5. TYPES OF GEARS
1. Spur gears: They are used for transmitting
power/drive between parallel shafts.
2. Bevel gears: These are used for transmitting
power/drive between shaft at an angle. Bevel
gears have conical cross sections to help
them achieve their purpose.
3. Rack and pinion gears: These are gears used
for converting rotary motion of the pinion to
linear motion of the rack.
9. GEARS
When two gears mesh, one is the driver and
the other becomes the driven. A gear is a
driver gear because the power to drive the
system is generated by it, while the other is the
driven because it is only being driven and
does not produce the power/energy.
12. PROBLEMS ON GEARS
1. A bicycle has a front gear with 40 teeth and
a rear gear with 20 teeth. If the cyclist is
pedaling at a rate of 60 rotations per minute
(rpm), calculate the speed of the bicycle.
2. In a car's transmission system, the gear
ratio between the engine and the drive shaft is
3:1. If the engine is running at 3000 revolutions
per minute (rpm), find the speed of the drive
shaft.
13. PROBLEMS ON GEARS
4. A conveyor belt system uses a gear train to transfer
power. If the input gear has 30 teeth and the output
gear has 60 teeth, and the input gear is rotating at 120
revolutions per minute (rpm), determine the speed of
the output gear.
5. A clock mechanism uses gears to move the hour
and minute hands. If the gear for the hour hand has
12 teeth and the gear for the minute hand has 60
teeth, find the gear ratio between them.
6. A motorbike's engine rotates at 5000 revolutions
per minute (rpm). If the gear ratio between the engine
and the rear wheel is 1:3, calculate the rotational
speed of the rear wheel.
14. 7. A gearbox in a factory machine has an input gear
with 24 teeth and an output gear with 48 teeth. If the
input gear is rotating at 180 revolutions per minute
(rpm), find the speed of the output gear.
8. In a gear system, the input gear has 10 teeth and
the output gear has 40 teeth. If the input gear is
rotating at 240 revolutions per minute (rpm), calculate
the speed of the output gear.
9. A gear train in a crane has an input gear with 15
teeth and an output gear with 60 teeth. If the input
gear is rotating at 300 revolutions per minute (rpm),
determine the speed of the output gear.
15. 10. A water pump uses a gear system to
increase efficiency. If the input gear has 18
teeth and the output gear has 72 teeth, and
the input gear is rotating at 360 revolutions per
minute (rpm), calculate the speed of the output
gear.