Complete question
The number of swings back and forth of a pendulum of length in inches each minute is 375/√L.
About how many swings will a 40-inch pendulum make each minute? can you please show the steps so that next time I can do it on my own?
Given the number of swings back and forth of a pendulum of length in inches, each minute is expressed as 375/√L.
In order to determine the number of swings, it will take a 40- inch pendulum, we will substitute L = 40 into the given expression as shown:
Number of swings per minute = 375/√40
Rationalize
Number of swings per minute = 375/√40 × √40/√40
Number of swings per minute = 375√40/40
Number of swings per minute = 375√4 × √10/40
Number of swings per minute = 375×2√10/40
Number of swings per minute = 750√10/40
Number of swings per minute = 18.75√10
Number of swings per minute = 59.29
Hence it will take the pendulum about 59 swings per minute
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