Problem

Find the angular speed w of the minute hand of a clock. The angular speed is radian per min.

Solution

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 \(\boxed{0.1047 \, \text{radians per minute}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/19576/

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