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Gravity and gravitation

Suppose the earth increases its speed of rotation. At what new

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Solving time: 3 mins

Suppose the earth increases its speed of rotation. At what new time period will the weight of a body on the equator becomes zero? Take $g = 10 m / s^{2}$ and radius of earth $R = 6400 km$ .

Views: 7,644 students

Updated on: Feb 26, 2024

Book:

Mechanics Volume 2 (DC Pandey)

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Benjamin Discussed

Suppose the earth increases its speed of rotation. At what new time period will the weight of a body on the equator becomes zero? Take

g = 10 m / s^{2}

and radius of earth

R = 6400 km

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

The weight will become zero, when

g^{'} = 0 or g - R ω^{2} = 0 (on the equator g^{'} = g - R ω^{2})

ω = \frac{R}{g}

∴ \frac{2 π}{T} = \frac{g}{R}

T = 2 π \frac{R}{g}

T = \frac{2 π \frac{6400 \times 1 0 ^{3}}{10}}{3600} h

T = 1.4 h

Thus, the new time period should be

1.4 h

instead of

24 h

for the weight of a body to be zero on the equator.

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Question Text	Suppose the earth increases its speed of rotation. At what new time period will the weight of a body on the equator becomes zero? Take $g = 10 m / s^{2}$ and radius of earth $R = 6400 km$ .
Updated On	Feb 26, 2024
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	438
Avg. Video Duration	5 min

Suppose the earth increases its speed of rotation. At what new time period will the weight of a body on the equator becomes zero? Take $g = 10 m / s^{2}$ and radius of earth $R = 6400 km$ .

Text solutionVerified

Filo tutor solutions (3)

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Suppose the earth increases its speed of rotation. At what new time period will the weight of a body on the equator becomes zero? Take g=10 m/s2 and radius of earth R=6400 km.

Text solutionVerified

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Suppose the earth increases its speed of rotation. At what new time period will the weight of a body on the equator becomes zero? Take $g = 10 m / s^{2}$ and radius of earth $R = 6400 km$ .