A gear system has the driving wheel of radius $20$ cm and $200$ teeth. It rotates at a speed of $20$ rpm. If the speed of rotation of the driven wheel is $160$ rpm. Find the gear ratio.

2 : 6

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1 : 8

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1 : 4

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15 : 13

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Solution

The correct option is B $1 : 8$
$\frac{n_{A}}{n_{B}} = \frac{r_{B}}{r_{A}} = \frac{160}{20} = \frac{N_{B}}{N_{A}} =$ $8 : 1$
Gear Ratio $= \frac{N_{A}}{N_{B}} = 1 : 8$

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A gear system has the driving wheel of radius 20cm and 200 teeth. It rotates at a speed of 20rpm. If the speed of rotation of the driven wheel is 160rpm. Find the gear ratio.

The correct option is B 1:8nAnB=rBrA=16020=NBNA=8:1Gear Ratio=NANB=1:8

A gear system has the driving wheel of radius $20$ cm and $200$ teeth. It rotates at a speed of $20$ rpm. If the speed of rotation of the driven wheel is $160$ rpm. Find the gear ratio.

The correct option is B $1 : 8$
$\frac{n_{A}}{n_{B}} = \frac{r_{B}}{r_{A}} = \frac{160}{20} = \frac{N_{B}}{N_{A}} =$ $8 : 1$
Gear Ratio $= \frac{N_{A}}{N_{B}} = 1 : 8$