This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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here's the solution to the question: Question: A stone moves through an angle equal to 1.5 radians in 3 seconds. [i] Complete revolutions = ? [ii] Find the angular velocity. Part [i]: Complete revolutions Step 1: Relate radians to revolutions. One complete revolution is equal to 2 radians. Given the angle moved = 1.5 radians. Step 2: Calculate the number of complete revolutions. Number of revolutions = Total angle in radiansAngle in one revolution Number of revolutions = 1.5 radians2 radians/revolution Number of revolutions = (1.5)/(2) Number of revolutions = 0.75 revolutions The number of complete revolutions is 0.75 revolutions. Part [ii]: Angular velocity Step 1: Define angular velocity. Angular velocity () is the rate of change of angular displacement. = Angular displacementTime taken Given angular displacement = 1.5 radians. Given time taken t = 3 seconds. Step 2: Calculate the angular velocity. = 1.5 radians3 s = 0.5 rad/s Using ≈ 3.14159: = 0.5 × 3.14159 rad/s ≈ 1.57 rad/s The angular velocity is 0.5 rad/s or approximately 1.57 rad/s. What's next?