Question

question 9 (5 points) 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? 1.42 m/s 4.47 m/s 2.85 m/s 8.95 m/s

Explanation:

Step1: Convert radius to meters

$r = 14.25\ cm=0.1425\ m$

Step2: Find the circumference of the roller

The formula for the circumference of a circle is $C = 2\pi r$. So, $C = 2\pi\times0.1425$ m.

Step3: Calculate the linear velocity

The roller makes 10 revolutions per second. The linear velocity $v$ is the number of revolutions per second times the circumference. So, $v=10\times2\pi\times0.1425$.
$v = 10\times2\times3.14\times0.1425=8.949\approx8.95\ m/s$

Answer:

8.95 m/s