Question

What is the total length of belting needed for the pulley shown to the right?

Answer 1

Given

The diameter of the pulley is given as 20''.

The distance between two pulleys is 67''.

Step-by-step explanation

To determine the total length of belting needed for the pulley .

Use the formula.

`D=2L+(D_L+D_S)*(\pi)/(2)+((D_L-D_S)^2)/(4L)`

Here L is the distance between two pulleys and DL is the diameter of the larger pulley

DS is the diameter of the smaller pulley.

Substitute the values,

`\begin{gathered} D=2*67^(\prime)^(\prime)+(20^(\prime)^(\prime)+20^(\prime)^(\prime))*(\pi)/(2)+((20^(\prime)^(\prime)-20^(\prime)^(\prime))^2)/(4*67^(\prime)^(\prime)) \\ D=134^(\prime)^(\prime)+40^(\prime)^(\prime)*(\pi)/(2)+0 \\ D=134^(\prime)^(\prime)+62.8^(\prime)^(\prime) \\ D=196.8in \end{gathered}`Answer

Hence the total length of belting needed for the pulley is 196.8 in.