Question

The minute hand of this clock moves through an angular displacement of π/4. Which of the following is the angular displacement of the second hand?
(If you can't see the picture, it shows a standard analogue wall clock.)

15π

π/2

5π

60π

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Answer 1

Answer:

The second hand goes through 2π radians in 1 min, or 2π radian/60 seconds, so ω = π/30 rad. s-1 = 0.03 rad. s-1. The minute takes one hour = 60 s/min × 60 min = 3600 s to go around, so ω = 2π / 3600 rad.