Rpm related to velocity and diameter

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SUMMARY

The discussion focuses on calculating RPM (Revolutions Per Minute) based on velocity and the radius of a circle. The formula involves determining the circumference using the equation 2πr, where r is the radius. For a radius of 1.5 feet, the circumference is approximately 9.42 feet. Given a speed of 95.34 feet per second, the time taken for one revolution is calculated as 0.0988 seconds, resulting in an RPM of approximately 10.121 revolutions per second, confirming the calculations as correct.

PREREQUISITES
  • Understanding of basic geometry, specifically circumference calculation
  • Familiarity with the concept of velocity and its units
  • Knowledge of time conversion from seconds to minutes
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the relationship between linear velocity and angular velocity
  • Explore the concept of angular displacement and its applications
  • Learn about the conversion of units in physics, particularly between feet per second and revolutions per minute
  • Investigate real-world applications of RPM calculations in mechanical engineering
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Students in physics or engineering, mechanical engineers, and anyone interested in understanding rotational motion and its calculations.

cgaday
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How do you determine RPM when given your velocity and the radius or diameter of the cirlcle?

thanks in advance.
 
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One circumference is 2Pi.r. That's distance traveled in one revolution.
If you travel at speed v, then the time T it takes to travel that distance = distance divided by speed.
Finally, if it takes T seconds for one revolution, you do 1/T revolutions per second.
Put it all together to get the answer.
 
so for r = 1.5 ft therefore 2pi(1.5) = 9.42 feet
speed equals 95.34 ft/s

T = distance/speed = 9.42 ft/ 95.34 ft per sec = .0988

1/T = 1/.0988 = 10.121 rev/s

IS this correct.
 
Yes, that looks fine to me. :)
 

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