The speed of rotation and the size of the elements of circular transmission mechanisms are directly related each other. That is called gear ratio.
The transmission ratio is a coefficient that tells us how many times one gear is larger than the other and, at the same time, how many times one turns faster than the other.
It shows information if a mechanism multiplies or reduces the speed.
Driver wheel it is the wheel moved directly by a motor or engine.
Driven wheel it is the one to which the motion is transmitted.
The motion to the driven wheel is transmitted by means of friction existing in the contact of both wheels. Consequently, both wheels rotate in opposite direction.
Notice that always the smallest wheel spins the fastest. In exchange its torque (rotary strength) is the lowest. To calculate the speed of the driven wheel we employ the equation.
D1 · N1 = D2 · N2
D1 = diameter of the driver wheel.
D2 = diameter of the driven wheel.
N1 = speed of the driver wheel, in revolutions per minute (rpm).
N2 = speed of the driven wheel (rpm)
In a friction wheel mechanism, the driving wheel rotation speed is 5000 rpm. Figure out the rotation speed of the driven wheel if the diameters are the following ones: 10 cm for the driver wheel and 5 cm for the driven wheel.
a) Draw the diagram and calculate the Gear Ratio.
b) the output speed of the driven wheel.
A gear system formed by two gears with 20 and 40 gears teeth (driven and driver gear respectively).
a)Calculate how fast is spinning the driven gear if the driver gear rotates at 3000 r.p.m.
b)Calculate the Transmission Ratio.
a)
b)