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

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The discussion focuses on calculating the rotational frequency in revolutions per second (r/s) and the diameter of a drive pulley based on a belt speed of 33 m/s and a pulley rotation of 750 r/min. The rotational frequency can be determined by converting 750 r/min to r/s, resulting in 12.5 r/s. To find the diameter of the drive pulley, the relationship between linear speed, rotational frequency, and diameter is used, leading to a calculated diameter of approximately 0.84 meters. Participants are encouraged to share their methods and calculations for verification. The thread emphasizes the importance of applying relevant formulas to solve the problem effectively.
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

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Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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