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A student sets up two cogs - OCR Gateway - GCSE Physics - Question 11 - 2019 - Paper 1
Question 11
A student sets up two cogs. Cog A has 10 teeth and cog B has 20 teeth. Cog A is turned 2 times. How many times does cog B turn? A. 0.5 times B. 1 time C. 2 t... show full transcript
Worked Solution & Example Answer:A student sets up two cogs - OCR Gateway - GCSE Physics - Question 11 - 2019 - Paper 1
Step 1
Cog A is turned 2 times.
Answer
When cog A turns, it engages with cog B. Since cog A has 10 teeth and cog B has 20 teeth, for every complete turn of cog A, cog B will turn half as much due to the difference in teeth count.
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First, calculate how many times cog A turns. Since cog A is turned 2 times, this is represented as:
ext{Turns of cog B} = rac{ ext{Teeth of cog A}}{ ext{Teeth of cog B}} imes ext{Turns of cog A}
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Substituting the values:
ext{Turns of cog B} = rac{10}{20} imes 2 = 0.5
Thus, cog B turns 0.5 times.