Davison Mullins
06/22/2023 · Senior High School
Find the angular speed \( \omega \) for the following. a wind turbine with blades turning at a rate of 11 revolutions per minute The angular speed for a wind turbine with blades turning at a rate of 11 revolutions per minute is (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any
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Step-by-step Solution
To find the angular speed \( \omega \) for a wind turbine with blades turning at a rate of 11 revolutions per minute, we can use the formula:
\[ \omega = 2\pi \times \text{revolutions per minute} \]
Given that the wind turbine turns at a rate of 11 revolutions per minute, we can substitute this value into the formula to find the angular speed \( \omega \).
\[ \omega = 2\pi \times 11 \]
Now, we can simplify this expression to find the angular speed \( \omega \).
Calculate the value by following steps:
- step0: Calculate:
\(2\pi \times 11\)
- step1: Multiply the terms:
\(22\pi \)
The angular speed \( \omega \) for the wind turbine with blades turning at a rate of 11 revolutions per minute is \( 22\pi \) radians per minute.
Quick Answer
The angular speed \( \omega \) is \( 22\pi \) radians per minute.
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