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Paha777 [63]
3 years ago
12

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center

of the disk. The platform has a radius of 3.70 m and a rotational inertia of 274 kg·m2 about the axis of rotation. A 67.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.62 rad/s when the student starts at the rim, what is the angular speed when she is 0.456 m from the center?
Physics
1 answer:
Bess [88]3 years ago
8 0

Answer:

10.93 rad/s

Explanation:

If we treat the student as a point mass, her moment of inertia at the rim is

I_r = mr^2 = 67.8*3.7^2 = 928.182 kgm^2

So the system moment of inertia when she's at the rim is:

I_1 = I_d + I_r = 274 + 928.182 = 1202.182 kgm^2

Similarly, we can calculate the system moment of inertia when she's at 0.456 m from the center

I_2 = I_d + 67.8*0.456^2 = 274 + 14.1 = 288.1 kgm^2

We can apply the law of angular momentum conservation to calculate the post angular speed when she's 0.456m from the center:

I_1\omega_1 = I_2\omega_2

\omega_2 = \omega_1\frac{I_1}{I_2} = 2.62*\frac{1202.182}{288.1} = 10.93 rad/s

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You push against a wall and the wall pushes back on you.
emmainna [20.7K]

Answer:

Its the third law of motion.

Explanation:

Newton's third law of motion states that every action has equal and opposite reaction.

4 0
3 years ago
Practice Exercises Name: : Billy-Joe stands on the Talahatchee Bridge kicking stones into the water below a) If Billy-Joe kicks
babymother [125]

Answer:

a) The answer is 11,7m

b) The time it takes to fall will be shorter

Explanation:

We will use the next semi-parabolic movement equations

H=Hi+Viy*t+1/2*g*t

X=Xi+Vx*t

Where g(gravity acceleration)=9,81m/s^2

Also Xi, Hi and Viy are zero, as the stones Billy-Jones is kicking stay still before he moves them, so we take that point as the reference point

The first we must do is to find how much time the stones take to fall, this way:

t=(5.40m)/(3.50m/s)

Then t=1,54s

After that we need to replace t to find H, this way

H=(1/2)*(9,81m/s^2)*(1,54s)^2

Then H=11,7m

b) The stones will fall faster as the stones will be kicked harder, it will cause the stones move faster, it means, more horizontal velocity. In order to see it better we could assume the actual velocity is two times more than it is, so it will give us half of the time, this way:

t=(5,40m)/(2*3,50m/s)

Then, t=0,77

4 0
3 years ago
Two bricks are released at the same time from the same point ten feet above the ground. One of the bricks is falling straight do
natita [175]
Both bricks will hit the ground at the same time.

Falling vertically is always accelerating at 9.8 m/s² because of gravity.
Nothing that's happening horizontally has any effect on that.
The brick that happens to have some horizontal motion will 
probably hit the ground way over there, but that will still be
at the same TIME as this one.

This is a perfect place to remind you of the old unbelievable story,
which I'll bet you heard before:

If you fire a bullet horizontally from a gun, and at the exact same
moment you DROP another bullet out of your hand next to the gun,
the two bullets will hit the ground at the same time !  Even though
they'll be far apart.

Horizontal speed has no effect on vertical behavior.
7 0
3 years ago
8892 ml to grams then to mg ​
andrew11 [14]

Answer:

8892 ml = 8892 gm = 8892000 mg

1 ml = 1 gram

8892 ml = 8892 gram

1 gram or ml = 1000 milligram

8892 ml = 8892 × 1000 = 8892000 milligram

hope this helps

have a good day :)

Explanation:

remember: 1 kilogram = 1000 gram = 1000000 milligram.

Milliliter is expressed same as gram and liter is expressed same as kilogram.

1 meter = 100 cm, 1 kilometer = 1000 meter,

1 cm = 10 millimeter.

7 0
2 years ago
Read 2 more answers
Two uncharged metal spheres, spaced 25.0 cm apart, have a capacitance of 26.0 pF. How much work would it take to move 12.0 nC of
viktelen [127]

Answer:

W=2.76\times 10^{-6}\ J

Explanation:

Given that,

The distance between two spheres, r = 25 cm = 0.25 m

The capacitance, C = 26 pF = 26×10⁻¹² F

Charge, Q = 12 nC = 12 × 10⁻⁹ C

We need to find the work done in moving the charge. We know that, work done is given by :

U=\dfrac{Q^2}{2C}

Put all the values,

U=\dfrac{(12\times 10^{-9})^2}{2\times 26\times 10^{-12}}\\\\U=2.76\times 10^{-6}\ J

So, the work done is 2.76\times 10^{-6}\ J.

8 0
3 years ago
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