Use the formula $\nu=\mathrm{r} \omega$ to find the value of the missing variable. $r=25 m, \omega=\frac{4 \pi}{5}$ radians per sec
The missing variable is $\nu=$ $\mathrm{m}$ per sec.
(Type an exact answer.)

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Final Answer: $\boxed{62.83} m/sec$.

Steps

Step 1 ：Given the formula for linear velocity, $\nu = r \omega$, where $r = 25 m$ is the radius and $\omega = \frac{4 \pi}{5} rad/sec$ is the angular velocity.

Step 2 ：Substitute the given values into the formula: $\nu = 25 m * \frac{4 \pi}{5} rad/sec$.

Step 3 ：Simplify the expression to find the value of $\nu$.

Step 4 ：Final Answer: $\boxed{62.83} m/sec$.

Use the formula $\nu=\mathrm{r} \omega$ to find the value of the missing variable. $r=25 m, \omega=\frac{4 \pi}{5}$ radians per secThe missing variable is $\nu=$ $\mathrm{m}$ per sec.(Type an exact answer.)

Answer

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Use the formula $\nu=\mathrm{r} \omega$ to find the value of the missing variable. $r=25 m, \omega=\frac{4 \pi}{5}$ radians per sec
The missing variable is $\nu=$ $\mathrm{m}$ per sec.
(Type an exact answer.)