(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².
(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.
<h3>Moment of inertia of the triangular sign</h3>
The moment of inertia of the sign for rotation about the side of length h is calculated as follows;
I = 2 x ¹/₃M(b/2)²
I = 2 x ¹/₃Mb² x ¹/₄
I = ¹/₆Mb²
I = ¹/₆ x 4.4 x 1.3²
I = 1.24 kgm²
<h3>Rotational kinetic energy of the ball</h3>
K.E(rot) = ¹/₂Iω²
where;
- ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/s
K.E(rot) = ¹/₂(1.24)(15.1)²
K.E(rot) = 141.37 J
Learn more about rotational kinetic energy here: brainly.com/question/25803184
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Answer:
396.97°C
Explanation:
Charles' Law explains that at constant volume, the pressure of an ideal gas is directly proportional to its temperature (in Kelvin).
P₁ ∝ T₁
P₁ = kT₁
k = constant of proportionality
(P₁/T₁) = (P₂/T₂)
P₁ = 240.0 kPa
T₁ = Boiling point of water = 100°C = 373.15 K
P₂ = 431.0 kPa
T₂ = ?
(240/373.15) = (431/T₂)
T₂ = (431 × 373.15) ÷ 240
T₂ = 670.12 K
T₂ = 396.97°C
Hope this Helps!!!
Answer:
The moment of inertia about the rotation axis is 117.45 kg-m²
Explanation:
Given that,
Mass of one child = 16 kg
Mass of second child = 24 kg
Suppose a playground toy has two seats, each 6.1 kg, attached to very light rods of length r = 1.5 m.
We need to calculate the moment of inertia
Using formula of moment of inertia
m = mass of seat
m₁ =mass of one child
m₂ = mass of second child
r = radius of rod
Put the value into the formula
Hence, The moment of inertia about the rotation axis is 117.45 kg-m²
Answer:
Option 1
It provides evidence of universe expansion
Explanation:
The Big Bang Theory actually explains the universe as originating from a single point, which expanded as billions of years went by.
The background radiation supports this theory in the sense that if the universe is expanding, this means that the universe is cooling and continuously losing heat, which results in background radiation
