The angular speed of the minute hand of a watch is:
A) (60/ $\pi$ ) m/s
B) (1800/ $\pi$ ) m/s
C) ( $\pi$ ) m/s
D) ( $\pi$ /1800) m/s
E) ( $\pi$ /60) m/s

Question

The angular speed of the minute hand of a watch is:
A) (60/  $\pi$ ) m/s
B) (1800/  $\pi$ ) m/s
C) ( $\pi$ ) m/s
D) (  $\pi$ /1800) m/s
E) (  $\pi$ /60) m/s

Quizplus · Accepted Answer

The angular speed of the minute hand can be calculated using the formula:
Angular speed (ω) = (2π * rotation) / time
The minute hand makes one rotation in 60 minutes or 1 hour.
Therefore, rotation = 1
Time taken = 1 hour = 3600 seconds
Substituting these values in the formula, we get:
ω = (2π * 1) / 3600
Simplifying, we get:
ω = π / 1800
Hence, the angular speed of the minute hand is (π / 1800) m/s, which is option D.

The Angular Speed of the Minute Hand of a Watch π\piπ

The Angular Speed of the Minute Hand of a Watch $\pi$