Calculate the rotational frequency in r/s and the diameter of the drive pulley

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SUMMARY

The discussion focuses on calculating the rotational frequency and diameter of a drive pulley driven by a belt moving at 33 m/s and rotating at 750 r/min. The rotational frequency is determined to be 12.5 r/s, calculated by converting revolutions per minute to revolutions per second. The diameter of the drive pulley can be calculated using the relationship between linear speed, rotational speed, and diameter, resulting in a diameter of approximately 0.84 meters.

PREREQUISITES
  • Understanding of rotational motion and frequency conversion
  • Familiarity with linear speed calculations
  • Knowledge of pulley systems and their mechanics
  • Basic mathematical skills for unit conversion and formula application
NEXT STEPS
  • Research the formula for converting r/min to r/s
  • Learn about the relationship between linear speed and pulley diameter
  • Explore applications of pulley systems in mechanical engineering
  • Investigate the impact of pulley diameter on system efficiency
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Mechanical engineers, physics students, and anyone involved in designing or analyzing pulley systems and rotational mechanics.

mikeystrike
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a belt is driven by a pulley at 33m/s the pulley rotates at 750 r/min. calculate:

(a) the rotational frequency in r/s

(b) the diameter of the drive pulley
 
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Re: need help

mikeystrike said:
a belt is driven by a pulley at 33m/s the pulley rotates at 750 r/min. calculate:

(a) the rotational frequency in r/s

(b) the diameter of the drive pulley

Welcome to MHB!

What have you tried?
 

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