In order to calculate the linear tangential velocity, we can use the formula:
[tex]V=w\cdot r[/tex]Where w is the angular velocity and r is the radius.
In order to find the angular velocity, we can divide the total angular distance (5π radians) by the amount of time (6.8 seconds):
[tex]w=\frac{5\pi}{6.8}=2.31[/tex]Now, calculating the linear tangential velocity, we have:
[tex]\begin{gathered} V=2.31\cdot0.35 \\ V=0.81 \end{gathered}[/tex]So the linear tangential velocity is 0.81 m/s.
