To solve this problem we will use the concepts related to angular motion equations. Therefore we will have that the angular acceleration will be equivalent to the change in the angular velocity per unit of time.
Later we will use the relationship between linear velocity, radius and angular velocity to find said angular velocity and use it in the mathematical expression of angular acceleration.
The average angular acceleration
Here
= Angular acceleration
Initial and final angular velocity
There is not initial angular velocity,then
We know that the relation between the tangential velocity with the angular velocity is given by,
Here,
r = Radius
= Angular velocity,
Rearranging to find the angular velocity
Remember that the radius is half te diameter.
Now replacing this expression at the first equation we have,
Therefore teh average angular acceleration of each wheel is
A component of an object moving at a certain velocity can be split into its x and y components (sometimes there is a z component too, but in the case of a question like this, we can imagine the plane the helicopter is travelling in to be 2 dimensions).
Therefore, we can draw a triangle - the hypotenuse having length 86 and being 35 degrees from the ground.
Since the angle ACB (assuming A to be bottom left and B to be top) is a right angle, we can now work with trigonometry:
Sinx = opp/hyp and Cosx = adj/hyp which will give us the components of the vector. Substituting the known values into the equations and rearranging:
86Sin(35) = Opp = 49.3km/h
86Cos(35) = Adj = 70.4km/h
Therefore, the horizontal component (Ax) is 70km/h and the vertical component (Ay) is 49km/h
I would say all of them but if I had to choose one I would say the days would get shorter because if earth began to spin faster then the sun would only be out for a couple of hrs and we would mostly see night than day
Answer:
cross out the false piece in blue and write the true piece in red