Problem

$1 \leftarrow$ Use the formula $\omega=\frac{\theta}{t}$ to find the value of the missing variable.
$\theta=\frac{3 \pi}{4}$ radians, $t=5 \mathrm{sec}$
$\omega=$ rédians per sec
(Type an exact answer, using $\pi$)

Answer

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Answer

Final Answer: \(\boxed{0.471}\) radians per sec.

Steps

Step 1 :Given that the formula for angular velocity is \(\omega=\frac{\theta}{t}\), where \(\theta\) is the angle in radians and \(t\) is the time in seconds.

Step 2 :Substitute the given values into the formula: \(\theta = \frac{3 \pi}{4}\) radians and \(t = 5\) seconds.

Step 3 :Calculate \(\omega\) to find the angular velocity: \(\omega = \frac{\frac{3 \pi}{4}}{5} = 0.471\) radians per second.

Step 4 :Final Answer: \(\boxed{0.471}\) radians per sec.

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