Radial and Tangential Acceleration Question

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SUMMARY

The discussion focuses on calculating the tangential acceleration of a ball swinging in a vertical circle with a string length of 0.5 m at a 20-degree angle from the vertical, where the ball's speed is 1.5 m/s. The tangential acceleration is derived from the change in velocity over time (dv/dt). Participants seek clarification on the forces acting on the ball and the specific tangential force involved in this scenario.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Knowledge of tangential and radial acceleration concepts
  • Familiarity with Newton's laws of motion
  • Basic calculus for velocity function analysis
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  • Calculate the tangential acceleration using the formula a_t = dv/dt
  • Explore the forces acting on an object in circular motion
  • Learn about centripetal acceleration and its relationship to tangential acceleration
  • Investigate the effects of angle on tension in the string during circular motion
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A ball tied to the end of a string 0.5 m in length swings in a vertical circle under the influence of gravity. When the string makes an angle of 20 degrees with the vertical, the ball has a speed of 1.5 m/s. Find the tangential component of acceleration at this instant. Help!




Tangential Acceleration = dv/dt


I could figure this out but I can't figure out the velocity function. HELP me please!
 
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What forces act on the ball? What tangential force acts on the ball?
 

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