two cog wheels having teeth 16 and 24 respectively, the bigger wheel make 5 revolution per hour. Then find in how many times the specific peak of the bigger wheel meets the specific peak of the smaller wheel?
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Find the prime factors of 16 and 24:
16 = 2⁴
24 = 2³ x 3
Find the LCM:
LCM = 2⁴ x 3 = 48
Interpretation: The specific teeth of the small cog will meet the specific teeth of the big cog at every 48th teeth meet.
Number of big cog teeth-rotations:
1 revolution = 24 teeth
5 revolutions = 24 x 5 = 120 teeth
Find the number of 48th teeth-meet:
Number of meets = 120 ÷ 48 = 2.5 times
Interpretation: The specific teeth of the small cog will meet the specific teeth of the big cog 2 times in the 5 revolutions.
Answer: They will meet 2 times.
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Step-by-step explanation:
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