Please answer part B
Answers
Given ,
diameter = 0.5 m
We know that diameter = 2 × radius
==> 0.5 m = 2 × r
==> r = 0.5 m / 2
==> r = 0.25 m
We also know that angular momentum is the product of moment of inertia and 2 π v where v is 1200 rev / min
v = 1200 rev / min
==> 1200 rev / 60 s
==> 20 rev / s
Moment of inertia = m × r²
==> 10 kg × (0.25)² m²
==> 10 kg × 0.0625 m²
==> 0.625 kg m²
Now angular momentum = moment of inertia × 2 π v
= 0.625 kg m² × 2 π × 20 rev/s
==> 25 π kg m²/s
Now the rotational kinetic energy is :-
K = 1 / 2 × moment of inertia × revolution²
==> 1 / 2 × 0.625 kg m² × (20 rev×2 π )^2
==> 200 π² × 0.625 J
==> 125 π² J
The angular momentum is 25 π kg m² / s
The kinetic energy is 125 π² J
The answer I have kept in pi you can convert its your choice.
Hope it helps you
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