Answer:
The angular acceleration α = 14.7 rad/s²
Explanation:
The torque on the rod τ = Iα where I = moment of inertia of rod = mL²/12 where m =mass of rod and L = length of rod = 4.00 m. α = angular acceleration of rod
Also, τ = Wr where W = weight of rod = mg and r = center of mass of rod = L/2.
So Iα = Wr
Substituting the value of the variables, we have
mL²α/12 = mgL/2
Simplifying by dividing through by mL, we have
mL²α/12mL = mgL/2mL
Lα/12 = g/2
multiplying both sides by 12, we have
Lα/12 × 12 = g/2 × 12
αL = 6g
α = 6g/L
α = 6 × 9.8 m/s² ÷ 4.00 m
α = 58.8 m/s² ÷ 4.00 m
α = 14.7 rad/s²
So, the angular acceleration α = 14.7 rad/s²
As a result, the hollow is 10.90 meters long and the distance between the nodal planes is 1.36 meters.
<h3>Explain electromagnetic waves.</h3>
The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves, or EM waves.
By definition, we understand that the frequency equals,
f = c/λ
where,
λ = wavelength
c= Speed of light
λ = 2L / n
While the wavelength is equal to,
Where,
L = Length
n = Number of antinodes/nodes
PART A) We know that the first component's wavelength is 110 MHz, so
λ = c/ f
λ = 3*10^8 / 11*10^6
λ = 1.36m
Therefore the distance between the nodal planes is 1.36m
PART B) For this part we need to find the Length through the number of nodes (8) and the wavelength, that is,
λ` = 2l /n
L = 8*2.72/ 2
L = 10.90m
Therefore the length of the cavity is 10.90m.
To know more about electromagnetic waves visit:-
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Answer:
Any two forces acting on each other, which are not equal and opposite ( thereby causing motion ) are unbalanced forces.
Explanation:
Expierience
Answer:OD. a hummingbird moving at 25 mph
Explanation:
Answer:
- < 25 m/s
- triangle inequality
- between north and east
- 45° < angle < 60°
Explanation:
(a) Just as one-dimensional numbers add on a number line by putting them end-to-end, so two-dimensional numbers add on a coordinate plane the same way.
Here, we choose to let the positive y-axis represent North, and the positive x-axis, East. This is the way a map is conventionally oriented. The velocity of the plane is represented by a vector pointing north (up). Its length represents the magnitude of the velocity. Likewise, the wind is represented by a vector of length 15 pointing east (right). The sum of these is the hypotenuse of the triangle they form.
The magnitude of the sum can be found here using the Pythagorean theorem, but for the purpose of this question, you're not asked to find that.
Instead, you're asked to estimate whether it is more or less than 25 (m/s).
Your knowledge of the triangle inequality will tell you that the hypotenuse (resultant) must be shorter than the sum of the lengths of the sides of the triangle, hence must be less than 10+15 = 25.
__
(b) The triangle inequality says the resultant is less than the sum of the other two sides of the triangle.
__
(c) Since the wind is blowing the plane toward the east, but the plane is traveling toward the north, the resulting direction is somewhere between north and east.
__
(d) "Somewhere between north and east" can be expressed as the inequality ...
0° < angle < 90°
