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What would be the velocity of earth due to rotation about its

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What would be the velocity of earth due to rotation about its own axis so that the weight at equator become $3/5$ of initial value. Radius of earth on equator is $6400 km$

Name: Video solution 1: What would be the velocity of earth due to rotation about its own axis so that the weight at equator become 3/5 of initial value. Radius of earth on equator is 6400 km
Uploaded: 2023-01-18T13:27:59.000Z
Duration: 4 min
Description: Video solution 1: What would be the velocity of earth due to rotation about its own axis so that the weight at equator become 3/5 of initial value. Radius of earth on equator is 6400 km

7.4 \times 1 0^{- 4} r a d / sec

6.7 \times 1 0^{- 4} r a d / sec

7.8 \times 1 0^{- 4} r a d / sec

8.7 \times 1 0^{- 4} r a d / sec

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Updated on: Jan 18, 2023

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What would be the velocity of earth due to rotation about its own axis so that the weight at equator become

3/5

of initial value. Radius of earth on equator is

6400 km

6 mins ago

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Text solutionVerified

Weight of the body at equator

= \frac{3}{5}

of initial weight

∴ g^{'} = \frac{3}{5} g

(because mass remains constant)

g^{'} = g - ω^{2} R cos^{2} λ \Rightarrow \frac{3}{5} g = g - ω^{2} R cos^{2} (0^{\circ})

\Rightarrow ω^{2} = \frac{2 g}{5 R} \Rightarrow ω = \frac{2 g}{5 R} = \frac{2 \times 10}{5 \times 6400 \times 1 0 ^{3}}

= 7.8 \times 1 0^{- 4} \frac{r a d}{sec}

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Question Text	What would be the velocity of earth due to rotation about its own axis so that the weight at equator become $3/5$ of initial value. Radius of earth on equator is $6400 km$
Updated On	Jan 18, 2023
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	242
Avg. Video Duration	4 min

What would be the velocity of earth due to rotation about its own axis so that the weight at equator become $3/5$ of initial value. Radius of earth on equator is $6400 km$

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What would be the velocity of earth due to rotation about its own axis so that the weight at equator become $3/5$ of initial value. Radius of earth on equator is $6400 km$