Finding the tangential speed Help

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SUMMARY

The discussion focuses on calculating tangential speed using the formula v = rω, where v represents tangential speed, r is the radius, and ω is the angular velocity. A participant initially miscalculated by doubling the time, which incorrectly affected the angular velocity. After correcting the approach, they confirmed that with the right radius and angular velocity, a tangential speed of 4.65 m/s is accurate. The key takeaway is the importance of maintaining consistent parameters when calculating angular and tangential speeds.

PREREQUISITES
  • Understanding of angular velocity (ω)
  • Familiarity with the formula for tangential speed (v = rω)
  • Basic knowledge of circular motion concepts
  • Ability to calculate time based on distance and speed
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  • Study the relationship between angular velocity and tangential speed
  • Learn about circular motion dynamics in physics
  • Explore practical applications of tangential speed in real-world scenarios
  • Investigate common mistakes in physics calculations involving time and speed
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Students studying physics, educators teaching circular motion, and anyone interested in understanding the principles of tangential speed and angular velocity calculations.

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Finding the tangential speed... Help

i got it, it I shouldn't have doubled my time. My answer is 4.65 m/s right?
 
Last edited:
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It's easier than you think. You have the angle the ball rotated. How much time did it take? (Hint the ball is traveling with a constant horizontal speed and the distance is given. Find the travel time.) Use this to find the angular speed ([itex]\omega[/itex]). Then use [itex]v = \omega r[/itex].
 
Last edited:


Yes, that is correct! The formula for tangential speed is v = rω, where v is the tangential speed, r is the radius, and ω is the angular velocity. Doubling your time would mean doubling the angular velocity, but keeping the radius the same. So if you had the correct radius and angular velocity, your answer of 4.65 m/s would be correct. Great job!
 

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