Calculate the rotational velocity (in rad/s) of a clock's minute hand. 
EXTRA:Calculate the rotational velocity (in rad/s) of a clock's hour hand.

• A. 8.7×10⁻⁴ rad/s
• B. 1.7×10⁻³ rad/s
• C. 0.0167 rad/s
• D. 0.104 rad/s

Answer: (B)

Verified step by step guidance

1. Understand that rotational velocity is the rate at which an object rotates around a center or axis. It is measured in radians per second (rad/s).
2. For the minute hand, note that it completes one full rotation (360 degrees or 2π radians) in 60 minutes. Convert this time into seconds: 60 minutes × 60 seconds/minute = 3600 seconds.
3. Calculate the rotational velocity of the minute hand using the formula: \( \omega = \frac{\Delta \theta}{\Delta t} \), where \( \Delta \theta \) is the change in angle (2π radians for a full rotation) and \( \Delta t \) is the time taken (3600 seconds).
4. For the hour hand, note that it completes one full rotation (360 degrees or 2π radians) in 12 hours. Convert this time into seconds: 12 hours × 3600 seconds/hour = 43200 seconds.
5. Calculate the rotational velocity of the hour hand using the same formula: \( \omega = \frac{\Delta \theta}{\Delta t} \), where \( \Delta \theta \) is 2π radians and \( \Delta t \) is 43200 seconds.