Much of the time and expense in drilling an oil well goes into changing the drill bit as it wears out. the drilling pipe must be pulled up and disassembled one section at a time in order to pull the drill bit out of the hole and replace it. A pipe 0.65 miles long weighs 2,400 lbs. it takes the pulling works 7.5s to lift this pipe 20 ft. the height of one section, in order to disassemble. (one horsepower equals 550ft-lb/s)

Question

Much of the time and expense in drilling an oil well goes into changing the drill bit as it wears out. the drilling pipe must be pulled up and disassembled one section at a time in order to pull the drill bit out of the hole and replace it. A pipe 0.65 miles long weighs 2,400 lbs. it takes the pulling works 7.5s to lift this pipe 20 ft. the height of one section, in order to disassemble. (one horsepower equals 550ft-lb/s)

A. How much work is done in lifting the pipe the length of one section?
B. what is the power delivered by pulling horsepower?

Answer 1

To find the work done in lifting the pipe the length of one section, we can use the formula:

Work = Force x Distance

The force required to lift the pipe can be determined using the weight of the pipe:

Force = Weight

Given that the weight of the 0.65-mile-long pipe is 2,400 lbs., we can convert this weight to force by considering the force required to lift it vertically:

Force = Weight x Gravity

Where gravity is approximately 32.2 ft/s^2.

Force = 2,400 lbs. x 32.2 ft/s^2

To convert the distance of one section from feet to miles, we divide it by 5,280 (since there are 5,280 feet in a mile).

Distance = 20 ft. / 5,280 ft/mile

Now we can calculate the work done:

Work = Force x Distance

Substituting the values:

Work = (2,400 lbs. x 32.2 ft/s^2) x (20 ft. / 5,280 ft/mile)

Simplifying:

Work = (2,400 lbs. x 32.2 ft/s^2) x (20 ft. / 5,280 ft/mile)
Work = 7,716,480 ft·lbs.

Therefore, the work done in lifting the pipe the length of one section is approximately 7,716,480 ft·lbs.

Now let's find the power delivered by the pulling horsepower.

Power is defined as the amount of work done per unit of time:

Power = Work / Time

Given that the time taken to lift the pipe is 7.5 seconds and one horsepower is equal to 550 ft·lbs/s, we can calculate the power:

Power = (7,716,480 ft·lbs.) / (7.5 s)

Converting horsepower to ft·lbs/s:

Power = (7,716,480 ft·lbs.) / (7.5 s) / (550 ft·lbs/s)

Simplifying:

Power = 2,194 horsepower

Therefore, the power delivered by pulling horsepower is approximately 2,194 horsepower.