Bond Boone
08/16/2023 · Senior High School
3. When two pulleys are connected, the one with smaller diameter revolves with the greate speed; if \( d_{1} \) is the diameter of one pulley and \( n_{1} \) the number of revolutions it thakes pe minute \( (r p m) \), while \( d_{2} \) and \( n_{2} \) are the correspnding numbers for the other pulley, then they are inversely proportional. Find the radius \( d_{2} \) of the second pulley if it revolves at a rate of 90 rpm corresponding to \( d_{1}=6 \) in and \( n_{1} 150 \mathrm{rpm} \).
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Para encontrar el diámetro \( d_2 \) de la segunda polea, usamos la relación inversa entre el diámetro y las revoluciones por minuto. Con \( d_1 = 6 \) in y \( n_1 = 150 \) rpm, y \( n_2 = 90 \) rpm, calculamos \( d_2 = 10 \) in.
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