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The earth's radius is  ; it rotates once every 24 hours and the angular speed  What is the speed of a point on the earth's surface located at the 2/5 of the length of the arc between the equator and the pole, measured from the equator? (Hint: What is the radius of the circle in which the point moves?)

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Anil Kumar G.
Anil Kumar G.Lv10
14 Dec 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Earth rotates on its axis once every 24 hours, so that objects onits surface execute uniform circular motion about the axis with aperiod of 24 hours. Consider only the effect of this rotation onthe person on the surface. (Ignore Earth's orbital motion about theSun.)

(a) What is the speed and what is the magnitude of the accelerationof a person standing on the equator?
v = m/s
a = m/s2

b)Express the magnitude of this acceleration as a percentage ofg.
%

(c) What is the direction of the acceleration vector?

is it away from the center of Earth or directly at the center ofEarth


(d) What is the speed and what is the magnitude of the accelerationof a person standing on the surface at 35°N latitude?
v = m/s
a = m/s2

(e) What is the angle between the direction of the acceleration ofthe person at 35°N and the direction of the acceleration of theperson at the equator if both persons are at the samelongitude?

Earth rotates on its axis once every 24 hours, so that objects onits surface execute uniform circular motion about the axis with aperiod of 24 hours. Consider only the effect of this rotation onthe person on the surface. (Ignore Earth's orbital motion about theSun.)
(a) What is the speed and what is the magnitude of the accelerationof a person standing on the equator?
v = m/s
a = m/s2

Express the magnitude of this acceleration as a percentage ofg.
%
(b) What is the direction of the acceleration vector?
away from the center of Earth
directly at the center of Earth


(c) What is the speed and what is the magnitude of the accelerationof a person standing on the surface at 35°N latitude?
v = m/s
a = m/s2

(d) What is the angle between the direction of the acceleration ofthe person at 35°N and the direction of the acceleration of theperson at the equator if both persons are at the samelongitude?

The earth's radius is about 4000 miles. Kampala, the capital of Uganda, and Singapore are both nearly on the equator. The distance between them is 5000 miles.

1.Through what angle do you turn, relative to the earth, if you fly from Kampala to Singapore? Give your answer in degrees and then in radians.
 
2.The flight from Kampala to Singapore takes 9 hours. What is the plane's angular velocity relative to the earth?

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