Rpm related to velocity and diameter

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Homework Help Overview

The discussion revolves around calculating RPM (revolutions per minute) based on given velocity and the radius or diameter of a circular path. The subject area includes concepts from circular motion and kinematics.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between circumference, speed, and time to determine RPM. One participant outlines a method involving the calculation of distance traveled in one revolution and the time taken to cover that distance at a given speed.

Discussion Status

Some participants have provided calculations and expressed agreement on the approach taken. However, there is no explicit consensus on the correctness of the final result, as it remains open for further verification.

Contextual Notes

Participants are working with specific values for radius and speed, but the original poster's question remains general. There may be assumptions about the uniformity of speed and the circular path that are not explicitly stated.

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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