Question

Find the velocity ratio of a screw jack with pitch 0.3cm and length 6cm.

Answer 1

Given data:

Length;

$L=6\text{ cm}$

Pitch;

$p=0.3\text{ cm}$

The velocity ratio is given as,

$VR=\frac{2\pi L}{p}$

Substituting all known values,

$\begin{gathered} VR=\frac{2\pi\times(6\text{ cm})}{(0.3\text{ cm})} \\ =40\pi \\ =40\times\frac{22}{7} \\ \approx125.71 \end{gathered}$

Therefore, the velocity ratio of a screw jack is 40π or 125.71.