Given the following data for a drilling rig.

Derrick height $=136ft$

Weight of travelling block and hook $=26,000lbf$

Wire rope size $=1\frac{3}{8}$

Wire rope is galvanized $619$ round strand wire rope with independent wire rope core and made of extra improved plow steel.

Drawworks' drum diameter $=26\text{'}$ two$-$step spiraled grooving

The rig must hoist a load of $500\mathrm{.}000lbf.$ The drawworks can provide an input power of $1000hp$ to the fast line. Twelve lines are strung between the crown block and the traveling block and the dead line is anchored to a derrick leg on one side of the $v-$window $($see Fig$)$

Estimate the load of each line strunk between the crown block and traveling block.

Estimate the load of dead$-$line.

Estimate the load of fast$-$line during hoisting.

$4.$ Estimate the maximum hook horsepower available for hoisting.

Estimate the maximum hoisting speed.

Estimate the required time needed to pull a $90-ft$ stand.

Estimate the design factor for the drilling wire rope.

Does the estimated wire rope design factor satisfy API recommendation for hoisting.

Estimate work in ton$-$miles between wire rope cuts.

Estimate the cut$-$off length of wire rope.

Estimate the actual derrick load given that the grown block weighs $25,000lbf.$

Calculate the maximum equivalent derrick load.

Calculate the derrick efficiency factor.