Andgular Displacement, and speed

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SUMMARY

The discussion focuses on calculating the angular displacement, length of line pulled, and final angular speed of a fishing reel's spool when a fish exerts a tension T. Key formulas include angular displacement (θ = θ_final - θ_initial) and the relationship between torque, moment of inertia (I), and angular acceleration. The spool's radius (R) and the time (t) the fish pulls the line are critical variables in these calculations. Participants are encouraged to utilize analogs from linear kinematics for better understanding.

PREREQUISITES
  • Understanding of angular displacement and its calculation
  • Familiarity with moment of inertia (I) and its role in rotational motion
  • Knowledge of torque and its relationship to angular acceleration
  • Basic principles of linear kinematics for analog comparisons
NEXT STEPS
  • Study the relationship between torque and angular acceleration in rotational dynamics
  • Explore the concept of moment of inertia for various shapes and its impact on rotational motion
  • Learn how to derive angular displacement from linear kinematic equations
  • Investigate practical applications of angular motion in mechanical systems
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the principles of rotational dynamics and their applications in real-world scenarios.

Bdmarti
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1. A fisherman is dozing when a fish takes the line and pulls it with a tension T. The spool of the fishing reel is at rest initially and rotates without friction (since the fisherman left the drag off) as the fish pulls for a time t. If the radius of the spool is R, and its moment of inertia is I, find
a. The angular displacement of the spool
b. The length of the line pulled from the spool
c. The final angular speed of the spoolI know that angular displacement is equal to theta = theta final minus theta initial, but i don't know how to relate it to this question. Any help would be greatly appreciated.
 
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