Physics, 07.07.2019 21:30 salvadorperez26

Constants modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high-many times higher than the wind speed. a turbine has blades 58 m long that spin at 14 rpm . at the tip of a blade, what is the centripetal acceleration?

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Answer from: elkinsmarie88oyzd23

It is given that the length of blade of the turbine is 58 m.

During the motion, the turbine will undergo rotational motion. Hence the radius of the circle traced by the turbine is equal to the length of the blade.

Hence radius r = 58 m.

The frequency of the turbine [f] =14 rpm.

Here rpm stands for rotation per minute.

Hence the frequency of the turbine in one second-

$f=\frac{14}{60}\ s^-1$

f=0.23333 Hz

Here Hz[ hertz] is the unit of frequency.

The angular velocity of the turbine $\omega =2\pi f$

$\omega=2*3.14*0.2333$

$\omega=1.465124$ radian/second

Now we have to calculate the centripetal acceleration of the blade.

Let the linear velocity of the blade is v.

we know that linear velocity v=ωr

The centripetal acceleration is calculated as-

$a_{c} =\frac{v^2}{r}$

$=\frac{[\omega r]^2}{r}$

$=\omega^2r$

=[1.465124]^2 *58

=124.5021234 m/s^2 [ans]

Answer from: Quest

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.

Answer from: Quest

Amethod of procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses.

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