Find the angular speed w of the minute hand of a clock.
The angular speed is radian per min.
Answer
Final Answer: The angular speed w of the minute hand of a clock is \(\boxed{0.1047 \, \text{radians per minute}}\).
Step 1 ：The minute hand of a clock completes one full revolution (360 degrees or 2π radians) every 60 minutes.
Step 2 ：Therefore, the angular speed w can be calculated by dividing the total angle of revolution (2π radians) by the time it takes to complete one revolution (60 minutes).
Step 3 ：Using the formula \(w = \frac{\text{total angle}}{\text{time}}\), we substitute the given values into the formula.
Step 4 ：Substituting the values, we get \(w = \frac{6.283185307179586}{60}\).
Step 5 ：Solving the above expression, we get \(w = 0.10471975511965977\).
Step 6 ：Final Answer: The angular speed w of the minute hand of a clock is \(\boxed{0.1047 \, \text{radians per minute}}\).
