Given:
Angular velocity = 10.5 rad/s
Length of arm = 0.65 m
Let's find the tangential velocity of the ball just before the pitcher releases it.
To find the tangential velocity, apply the formula:
[tex]v_t=w\times r[/tex]Where:
w is the angualr velocity = 10.5 rad/s
r is the length of the arm = 0.65 m
To find the tangential velocity, we have:
[tex]\begin{gathered} v_t=10.5\times0.65 \\ \\ v_t=6.825\text{ m/s} \end{gathered}[/tex]Therefore, the tangential velocity of the ball before the pitcher release it is 6.825 m/s.
ANSWER:
6.825 m/s
