Answer:
The angular velocity of the propeller is 2.22 rad/s.
Explanation:
The angular velocity (ω) of the propeller is:
Where:
θ: is the angular displacement = 10.6 revolutions
t: is the time = 30 s
Therefore, the angular velocity of the propeller is 2.22 rad/s.
I hope it helps you!
To solve the problem we apply the motion kinematic equations as well as the techniques used to solve second order polynomial equations.
By definition we know that the height of a body is given by the function
As there is no initial speed or a distance previously traveled, the equation is:
Where,
g = Gravitational acceleration
t = time
h= Height
Rearranging to find the time we have,
Then, the sound of the splash take a time to travel back, therefore, in time, it is necessary to adhere the new term, which converts the final time into:
If we make a similarity to the polynomial equation of the second degree where we have to:
Solving to find x (which is equivalent to ) we have to:
Since the positive distance is what allows us to find the actual distance traveled we have finally to
The correct answer is B.