Earth's axial angular velocity

Classical Mechanics Level 1

What is the approximate angular velocity of the earth about its axis in rad/s ? \text{rad/s}\,?

π 43 , 200 \frac{\pi}{43,200} π 12 \frac{\pi}{12} 5 π 5\pi 300 π 300\pi

July Thomas by July Thomas , 30, USA

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2 solutions

July Thomas
Jun 9, 2016

The Earth moves through 2 π 2\pi rad in approximately 24 hours, which is 24 × 60 × 60 = 86 , 400 24\times 60 \times 60=86,400 seconds.

2 π 86 , 400 = π 43 , 200 \frac{2\pi}{86,400} = \frac{\pi}{43,200}

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Actually it should be approximately pi/43,200.

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