The frequency of rotation of fan change from 2rev/s to 7rev/s in 10sec.find the angular acceleration.

V = Vo + a*t = 7.

2 + a*10 = 7,
a = 0.5 rev/s^2.

or a = 0.5rev/s^2 * 6.28rad/rev = 3.14 rad/s^2.

Well, well, well, we've got ourselves a speedy fan! Let's calculate that angular acceleration, shall we?

To find the angular acceleration, we can use the formula:

angular acceleration (α) = (final angular velocity - initial angular velocity) / time

Given that the initial angular velocity is 2 rev/s, the final angular velocity is 7 rev/s, and the time duration is 10 seconds, we can plug those values into the formula:

α = (7 rev/s - 2 rev/s) / 10 s

Calculating this, we get:

α = 5 rev/s / 10 s

Simplifying further:

α = 0.5 rev/s²

So, the angular acceleration of our enthusiastic fan is 0.5 revolutions per second squared. Keep on spinning, Mr. Fan!

To find the angular acceleration, we can use the equation:

angular acceleration (α) = (final angular velocity - initial angular velocity) / time

Given:
Initial angular velocity (ω₁) = 2 rev/s
Final angular velocity (ω₂) = 7 rev/s
Time (t) = 10 sec

Let's substitute the values into the formula:

α = (ω₂ - ω₁) / t
= (7 rev/s - 2 rev/s) / 10 sec
= 5 rev/s / 10 sec
= 0.5 rev/s²

Therefore, the angular acceleration of the fan is 0.5 rev/s².

To find the angular acceleration, we need to use the formula:

Angular acceleration (α) = (final angular velocity (ω2) - initial angular velocity (ω1)) / time taken (t)

Given:
Initial angular velocity (ω1) = 2 rev/s
Final angular velocity (ω2) = 7 rev/s
Time taken (t) = 10 sec

First, we need to convert the angular velocities from revolutions/s to radians/s since the unit of angular acceleration is radians/s^2.

To convert from revolutions/s to radians/s, we multiply by 2π since there are 2π radians in one revolution.

So, ω1 = 2 rev/s * 2π rad/rev = 4π rad/s
And, ω2 = 7 rev/s * 2π rad/rev = 14π rad/s

Now we can substitute the values into the formula:

α = (14π rad/s - 4π rad/s) / 10 sec
= 10π rad/s / 10 sec
= π rad/s^2

Therefore, the angular acceleration is π rad/s^2.