Question

Two gear wheels which are meshed together have radii of 0.50$cm$ and 0.15$cm$. The number of revalutions does the smaller turns when the larger turns through 3 revolution is

• A. $5$ revolution
• B. $20$ revolution
• C. $1$ revolution
• D. $10$ revolution

Answer 1

The correct option is D $10$ revolution

$\begin{array}{c}\text{let,}{r}_1=0.5cm\\ r_2=0.15cm\\ \text{for larger wheel,}\\ \text{by the periferys any point}\end{array}$

$\begin{array}{c}{D}_1=3\times 2\times \pi \times 0.5cm\\ \text{-for smaller whee}1\\ \text{displacement}{D}_2=2\pi \times 0.15\\ \therefore \text{no.ot nevolution}\delta =\frac{3\times 2\pi \times 0.5}{2\pi \times 0.15}\\ =\frac{1.5}{0.15}\\ =10\end{array}$

Ans. Option D