Answer:
θ = 20.9 rad
Explanation:
In a blender after a short period of acceleration the blade is kept at a constant angular velocity, for which we can use the relationship
w = θ / t
θ = w t
if we know the value of the angular velocity we can find the angular position, we must remember that all the angles must be in radians
suppose that the angular velocity is w = 10 rpm, let us reduce to the SI system
w = 10 rpm ![(\frac{2\pi rad}{1 rev}) ( \frac{1 min}{60 s} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%5Cpi%20%20rad%7D%7B1%20rev%7D%29%20%28%20%5Cfrac%7B1%20min%7D%7B60%20s%7D%20%29)
= 1,047 rads
let's calculate
θ = 1,047 20
θ = 20.9 rad
Answer
given,
angle between two polarizing filters = 45°
filter reduce intensity = ?
a) I = I₀ Cos² θ
here θ = 45⁰
intensity of the light is reduced by 0.500
correct answer from the given option D
b) direction of the polarization
θ = 45°
The impulse imparted to the shells equals the change in the momentum:
Fav*(Delta t)= Delta m*v.
The mass change is
Delta m= n*m= (89.9shells)*(88.7g)=7.97Kg
So the average force is
F=((v)*(Delta m))/t= ((929)*(7.97))/4.84=1529.78 N
Since the velocity of the shells is much greater than the velocity of the helicopter, there is no need to use relative velocity.
We have the equation of motion
, where s is the displacement, a is the acceleration, u is the initial velocity and t is the time taken.
Here displacement = 135 m, Initial velocity = 0 m/s, acceleration = 9.81
Substituting
![135 = 0*t+\frac{1}{2} *9.8*t^2\\ \\ 4.9t^2 =135\\ \\ t =5.25 seconds](https://tex.z-dn.net/?f=135%20%3D%200%2At%2B%5Cfrac%7B1%7D%7B2%7D%20%2A9.8%2At%5E2%5C%5C%20%5C%5C%204.9t%5E2%20%3D135%5C%5C%20%5C%5C%20t%20%3D5.25%20seconds)
A box falls out of a stationary helicopter hovering 135 m above the ground will take 5.25 seconds to reach the ground.
It’ll be 200 meters West because 500-300=200 and The west direction has the greatest force you could say ... Anytime you have a question asking about displacement you subtract then use the direction with the greatest number ..