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anastassius [24]
3 years ago
11

A 90 kg person stands at the edge of a stationary children's merry-go-round at a distance of 5.0 m from its center. The person s

tarts to walk around the perimeter of the disk at a speed of 0.80 m/s relative to the ground. What rotation rate does this motion impart to the disk if I_{disk} = 20,000 kg*m^2. (The person's moment of inertia is I = mr^2)
Physics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

\omega = 0.016\,\frac{rad}{s}

Explanation:

The rotation rate of the man is:

\omega = \frac{v}{R}

\omega = \frac{0.80\,\frac{m}{s} }{5\,m}

\omega = 0.16\,\frac{rad}{s}

The resultant rotation rate of the system is computed from the Principle of Angular Momentum Conservation:

(90\,kg)\cdot (5\,m)^{2}\cdot (0.16\,\frac{rad}{s} ) = [(90\,kg)\cdot (5\,m)^{2}+20000\,kg\cdot m^{2}]\cdot \omega

The final angular speed is:

\omega = 0.016\,\frac{rad}{s}

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Ivan
We assume that the rod's weight is evenly distributed, making its center of gravity 0.675 m from the end.
First, we calculate the moment present on the rod:
τ = F*d
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τ = 0.25 * 9.81 * 0.675
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Next, in the case of rotational motion, Newton's second law is:
τ = Iα, where I is moment of inertia and α is the angular acceleration
The moment of inertia for a rod is:
I  = (ML²)/12
I = (0.25*1.35²)/12
I = 0.038

Now, we use the formula given by Newton's law:
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5 0
3 years ago
Longest wavelength?________​
Tom [10]

Answer:

Radio waves

Explanation:

Radio waves have the longest wavelength.

please mark it as a brain.... ans...

7 0
2 years ago
A boat can travel 48 miles upstream in 4 hours. the return trip takes 3 hours. find the speed of the boat in still water and the
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vagabundo [1.1K]

Answer:

<h2>30 N</h2>

Explanation:

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<h3>30 N</h3>

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