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NemiM [27]
3 years ago
14

The Earth can be approximated as a sphere of uniform density, rotating on its axis once a day. The mass of the Earth is 5.97×102

4 kg , the radius of the Earth is 6.38×106 m , and the period of rotation for the Earth is 24.0 hrs . Part A What is the moment of inertia of the Earth? Use the uniform-sphere approximation described in the introduction. Express your answer in kilogram meters squared to three significant figures. View Available Hint(s)
Physics
1 answer:
svetlana [45]3 years ago
3 0

Answer:

I = 97.2 10³⁶ kg m²

Explanation:

The moment of inertia of a body the expression of inertia in the rotational movement and is described by the expression

      I = ∫ r² dm

In this problem we are told to use the moment of inertia of a uniform sphere, the expression of this moment of inertia is

     I = 2/5 M r²

where m is the mass of the earth and r is the radius of the earth.

Let's calculate

      I = 2/5  5.97 10²⁴ (6.38 10⁶)²

      I = 97.2 10³⁶ kg m²

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scientific law is a statement that summarizes a pattern found in nature.

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The climate change can directly impact the formation of hurricanes because increasing temperature increases intensity of hurricanes.

<h3>How climate change could impact the formation of hurricanes?</h3>

Evaporation increases as temperatures rise which also causes the transfer of heat from the oceans to the atmosphere. As the storms travel across oceans whose water is warm, they absorb more water vapor and heat which increases rainfall as well as intensity of hurricanes.

So we can conclude that the climate change impacted the formation of hurricanes due to increasing temperature that increases intensity of hurricanes.

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5 0
2 years ago
On a journey of 600 km, a train was delayed 1 hour and 30 min after having covered 1 4 of the way. To arrive on time at the dest
mars1129 [50]

Answer:

The train travelled 10hours.

Explanation:

Using speed= distance/time ...eq1

Let the time taken by train to cover the journey be t.

Let the speed of train be s

Time= distance/speed ...eq2

Time t =600/s ...eq3

The train is delayed for 1 1/2 hours=3/2 hours

Train increased by 15km/hr.

Train travelled 1/4 of 600k.= 150km.

Speed increased by s + 15 to cover the remaining 450km

t = 150/s + 400/(s + 15) + 3/2 ..eq4

Equating eq3 and 4

600/s= 150/s + 460/(s + 15) + 3/2

450/s = 3/2 + 450/(s + 15)

3s^2 + 45s -13500=0

Solving the quadratic equation

S= -45 +-sqrt(45^2-4(3×13500)/2×3

S= 60 , -75

Hence speed of train is 60km/hr

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% = Wo/Wi x 100 Solve for Wo<br> % = Wo/Wi x 100 Solve for Wi
irga5000 [103]
1) % = (Wo /Wi) * 100

Solve for Wo => Wo = (% / 100) * Wi

For example, % =30% and Wi = 250 => Wo = (30 /100) * 250 = 0.30 * 250 = 75

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2) % = (Wo / Wi) * 100

Solve for Wi

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3 years ago
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