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Fed [463]
3 years ago
13

Two 25 kg children are sitting on a merry-go-round that is rotating at 0.10 rad/s. if one child is 1.0 m from the center and the

other is 1.5 m from the center, what is their combined angular momentum?
Physics
1 answer:
Grace [21]3 years ago
8 0
The angular speed of the merry-go-round is
ω = 0.10 rad/s

The angular moment of inertia of a mass, m, at a radius, r, from the center of the wheel is
I = mr²

Therefore, the angular moment of inertia for the children are
I₁ = (25 kg)*(1.0 m)² = 25 kg-m²
I₂ = (25 kg)*(1.5 m)² = 56.25 kg-m²

The combined angular momentum is
ω(I₁ + I₂) = (0.10 rad/s)*(25 + 56.25 kg-m²)
               = 8.125 (kg-m²)/s

Answer: 8.125 (kg-m²)/s
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5 0
4 years ago
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dedylja [7]

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Explanation:

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