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The earth takes 24 h to rotate about its own axis. Through what angle will it turn in 5 h and 24 min?
Question

The earth takes 24 h to rotate about its own axis. Through what angle will it turn in 5 h and 24 min?

A.

80°

B.

81°

C.

82°

D.

79°

Correct option is B

Given:

The angle earth will turn in 5 hours and 24 minutes.
Formula Used:
The earth rotates 360 degrees in 24 hours.

The angle turned per hour is:
36024\frac{360}{24}​ = 15 degrees per hour
Solution:
Convert 24 minutes into hours:
24 minutes =2460 \frac{24}{60} ​= 0.4 hours
So, the total time is  5 + 0.4 = 5.4 hours.
The angle turned in 5.4 hours is:
15×5.415 \times 5.4​ = 81 degrees
Thus, the earth will turn through an angle of 8181^\circ​ in 5 hours and 24 minutes.

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