Calculating Angular Displacement

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To calculate the angular displacement of a pendulum released at an initial angle of θ=0.10 rad, the formula L x Δθ is considered, but clarification is needed on its application. The user previously calculated values for angular velocity (omega) and phase angle (phi) but is uncertain how to proceed with angular displacement. A specific numerical attempt of 0.30 x 0.20 rad was made, but further information is required to confirm its accuracy. The discussion highlights the need for a clear understanding of the relationship between angular displacement, length, and angle. Overall, the calculation of angular displacement remains unresolved, indicating a need for additional guidance.
MrRandom66
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Homework Statement



I'm trying to calculate the angular displacement. A pendulum with length L is released at θ=0.10rad at 0s.

Really not sure how to calculate the angular displacement from this. In a previous question we calculated the values of omega, and phi.

Homework Equations



I thought it could be L x Delta θ, but I'm not sure it's correct

The Attempt at a Solution



0.30 x 0.20 rad
 
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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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