Explanation:
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Answer:
ω₁ = 8 rad/s
Explanation:
Assuming
1) the clay sticks to the disc we can apply conservation of angular momentum
2) That the disc moment of inertia is 1.5 kg•m²
Initial angular momentum = L = I₀ω₀ = 1.5(14) = 21 kg•m²/s
After the clay joins the party, the moment of inertia is
I₁ = 1.5 + 0.5(1.5²) = 2.625 kg•m²
21 = 2.625ω₁
ω₁ = 8 rad/s
Answer:
195,714,000 meters per second
I hope this helps!
Answer:
Explanation:
STEP 1
<u>Given</u>
Radius of cylinder = r = 25cm, 2.5m
mass = 27kg
cylinder is mounted so as to rotate freely about a horizontal axis that is parallel to and 60cm to the central logitudinal axis of the cylinder
height = 0.6m
<u>part 1</u>
The cylinder is mounted so as to rotate freely about a horizontal axis tha is paralle to 60cm from the central longitudinal axis of then cylinder. The rotational inertia of the cylinder about the axis of rotation is given by
<em>I = Icm + mh²</em>
<em>∴ I = 1/2mr² + mh² = 1/2x27x (0.5)² + 20 x (0.6)²</em>
<em>I=13.09kg.m²</em>
where
<em>I</em>cm is the rotational inertia of the cylinder about its central axis
m is the mass of the cylinder
h is the distance between the axis of the rotation and the central axis of the cylinder
r is the radius of the cylinder
<em> </em><em> I=13.09kg.m²</em>
<em>part2</em>
<em>from the conservation of the total mechanical energy of the meter stick, the change in gravitational potential energyof the meter stick plus the change in kinetic energy must be zero</em>
<em>Δk + Δu = 0</em>
<em>1/2 </em>I(w²-w²) = Ui-Uf
1/2 x 13.09w² = mgh
∴w=√20 x 9.8 x 0.6/(1/2 x 13.09) =117.6/6.5
w=18.09rad/s
Answer:
A mother with gestational diabetes decides to limit her sugar intake.
Explanation:
