Calculate Acceleration of object in Circular motion

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SUMMARY

The discussion focuses on calculating the acceleration of a ball in a conical pendulum setup, where the string length is 1.70 m and the angle θ is 37.0 degrees. The ball completes one revolution every 2.30 seconds. To derive the acceleration, participants emphasize finding the radius using the string length and angle, and applying the formula for centripetal acceleration, which is the change in velocity over time.

PREREQUISITES
  • Understanding of circular motion principles
  • Knowledge of centripetal acceleration formulas
  • Ability to derive equations from geometric relationships
  • Familiarity with trigonometric functions
NEXT STEPS
  • Study the derivation of centripetal acceleration in circular motion
  • Learn how to calculate radius in conical pendulum systems
  • Explore the relationship between angular velocity and linear velocity
  • Review the application of trigonometric functions in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of conical pendulum dynamics.

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Homework Statement



A conical pendulum is made of a ball on the end of a string, moving in circular motion as represented in the figure below. The length L of the string is 1.70 m, the angle θ is 37.0o, and the ball completes one revolution every 2.30 s

Calculate the acceleration of the ball, by first deriving a symbolic equation

Homework Equations





The Attempt at a Solution

 
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Please show some effort and work.

The ball is moving in a circular motion. Find the radius from the length of the string from pivot to ball, and the angle.

Acceleration is simply the change in velocity with respect to time.

Please refer to - http://hyperphysics.phy-astr.gsu.edu/hbase/rotq.html#rq - as well as one's text.
 

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