Question

A sod roller of radius 14.25 cm turns at 10 revolutions per second. What is the linear velocity of the roller in meters per second? 4.47 m/s2.85 m/s1.42 m/s8.95 m/s

Answer 1

The linear velocity is given by the formula:

$v=\frac{s}{t}$

Where s=θr, r is the radius and θ is in radians.

$\begin{gathered} r=14.25\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}}=0.1425m \\ \theta=10rps\cdot(2\pi)=20\pi\text{ /s} \end{gathered}$

Then s is:

$\begin{gathered} s=20\pi\text{ /s}\cdot0.1425m \\ s=8.95m/s \end{gathered}$