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Question: The angular speed of rotation of the earth is...

The angular speed of rotation of the earth is

A

7.3×10−5rads−17.3 \times 10^{- 5}rads^{- 1}

B

7.3×10−4rads−17.3 \times 10^{- 4}rads^{- 1}

C

7.3×10−6rads−17.3 \times 10^{- 6}rads^{- 1}

D

7.3×10−3rads−17.3 \times 10^{- 3}rads^{- 1}

Answer

7.3×10−5rads−17.3 \times 10^{- 5}rads^{- 1}

Explanation

Solution

The earth rotates form west to east in 24 hours.

∴\thereforeT = 24 hours = 24 × 3600s = 86400s

Its angular speed is

ω=2πT=2π86400=7.3×10−5rads−1\omega = \frac{2\pi}{T} = \frac{2\pi}{86400} = 7.3 \times 10^{- 5}rads^{- 1})