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thats correct !
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1 revolution = 2*pi*15 = 30 pi inches :
\(\large \frac{31 * 12~ inches}{second}\)
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\(\large \frac{31 * 12~ inches}{second} \times \frac{1 ~ revolution}{30*pi~inches} \)
\(\large \frac{31 * 12~ inches}{second} \times \frac{1 ~ revolution}{30*pi~inches} \times \frac{60~ seconds}{1 ~minute} \)
inches and seconds cancel out leaving u wid : \(\large \frac{31 * 12 * 60~ revolutions}{30*pi~minutes} \)
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