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Answer :
Final answer:
The angular speed of the minute hand of a clock is approximately 0.001745 rad/s, which is not one of the options provided. However, considering the provided options, none of them correctly represents the angular speed of a minute hand.
Explanation:
The angular speed of the minute hand of a clock can be determined by considering that the minute hand completes one full rotation, which is 360 degrees or 2π radians, in 60 minutes (3600 seconds). Therefore, we calculate the angular speed by dividing the total angle in radians by the total number of seconds.
To find the angular speed (ω), we use the formula:
ω = Total angle in radians / Total time in seconds = 2π radians / 3600 s
Upon calculation:
ω = (2 * 3.14159) / 3600 ≈ 0.001745 rad/s
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