Question

**Can someone please help me solve these problems step by step, thank you!

Answer 1

Answer:

The answer is "$\bold{11.428 \ in \ \ and \ \ 9.729 \ in}$".

Explanation:

The second question solution can be defined as follows:

$N_A= 1000 \ rpm\\\\N_B=1575 \ rpm\\\\N_C=1850 \ rpm\\\\D_A= 18 \ in$

In point 1:

Calculating the value of the linear velocity is the same:

$\to V_A=V_B\\\\\to \pi D_A N_A=\pi D_BN_B\\\\\to D_B= \frac{D_A \times N_A}{N_B}$

          $=\frac{18 \times 1000}{1575}\\\\=11.428 \ in \ \ \text{Diameter of pulley B}$    

In point 2:

$\to V_A=V_C\\\\\to \pi D_A N_A=\pi D_C N_C\\\\\to D_C=\frac{D_A \times N_A}{N_C}$

          $=\frac{1000 \times 18}{1850}\\\\=9.729 \ in \ \ \text{Diameter of pulley B}$