Answer:
22.36 rad
Explanation:
Applying,
ω = θ/t.............. Equation 1
Where ω = angular velocity, θ = angular displacement of the baseball, t = time
make θ the subject of the equation
θ = ωt............... Equation 2
From the question,
Given: ω = 350 rev/min = 350(0.10472) = 36.652 rad/s, t = 0.61 s
Substitute these values into equation 1
θ = 0.61(36.652)
θ = 22.36 rad
Hence the angular displacement of the baseball is 22.36 rad
The thermosphere is a layer of Earth's atmosphere. The thermosphere is directly above the mesosphere and below the exosphere. It extends from about 90 km (56 miles) to between 500 and 1,000 km (311 to 621 miles) above our planet.
Answer:
17.2 seconds
Explanation:
Given:
v₀ = 0 m/s
a₁ = 10.0 m/s²
t₁ = 3.0 s
a₂ = 16 m/s²
t₂ = 5.0 s
a₃ = -12 m/s²
v₃ = 0 m/s
Find: t
First, find v₁:
v₁ = a₁t₁ + v₀
v₁ = (10.0 m/s²) (3.0 s) + (0 m/s)
v₁ = 30 m/s
Next, find v₂:
v₂ = a₂t₂ + v₁
v₂ = (16 m/s²) (5.0 s) + (30 m/s)
v₂ = 110 m/s
Finally, find t₃:
v₃ = a₃t₃ + v₂
(0 m/s) = (-12 m/s²) t₃ + (110 m/s)
t₃ = 9.2 s
The total time is:
t = t₁ + t₂ + t₃
t = 3.0 s + 5.0 s + 9.2 s
t = 17.2 s
Round as needed.
Answer:
The Autocratic system of governance
Explanation:
<em>Thi</em><em>s</em><em> is</em><em> </em><em>b</em><em>ecause</em><em>,</em><em>in </em><em>Autocratic</em><em> </em><em>sy</em><em>stem</em><em> </em><em>of</em><em> </em><em>gover</em><em>nance</em><em> </em><em>decis</em><em>ion</em><em> </em><em>maki</em><em>ng</em><em> </em><em>is</em><em> </em><em>don</em><em>e</em><em> </em><em>by</em><em> </em><em>onl</em><em>y</em><em> </em><em>indi</em><em>vidual</em><em>.</em><em> </em><em>And</em><em> </em><em>his</em><em>/</em><em>her</em><em> </em><em>dec</em><em>ision</em><em> </em><em>is</em><em> </em><em>fina</em><em>l</em><em>.</em>
The energy of the wave will decrease.
The energy of a wave is given as
E = h f
where E = energy of waver
h = plank's constant
f = frequency of the wave.
From the formula , we see that the energy of the wave is directly proportional to the frequency of the wave. hence as the frequency of the wave decrease, the energy of the wave will decrease.
