Question

An engineer is testing a large wind turbine that is used generating energy. Intially the large wind blades are locked in place and not rotating. In a steady wind, the engineer releases the blades and they begin to rotate. She notes from the instruments that for the first 60 seconds the blades have a constant angular acceleration of 0.05rad/s2 . How many complete revolutions of the turbine occur during this time

Answer 1

Answer:

28 revolutions

Explanation:

Here we are going to use the accelerated angular motion formulas.

θ$=wo*t+\frac{1}{2}*\alpha*t^2$

because it starts from rest, wo=0

θ$=\frac{1}{2}*(0.05rad/s^2)*(60s)^2$

θ$=180rad$

The number of revolutions is given by:

$N=\frac{180rad}{2*\pi\frac{rad}{rev}}=28.64rev$

So the turbine completed 28 revolutions at that time.

Answer 2

Answer:

3 revolution in rad

Explanation:

angular acceleration α= rev/time

but α= 0.05rad/s

rev = α * time(in sec)

rev = 0.05 * 60

rev = 3rad/s