Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb was lifted at a constant rate. As it rose, cement also leaked out at a constant rate. By the time the bag had been lifted to 24 ft, of the cement had leaked out. How much work was done lifting the cement this far? (Neglect the weight of the bag and lifting equipment.) Part 1. Assuming the force required to lift the cement is equal to its weight, find the force function, F(z), that acts on the cement when the bag is at a height of z ft. Hint: it will help to find the rate (in ) at which the cement leaking from the bag. F(x) = (143 – Part 2. Setup the integral that will give the work required to lift the cement 24 ft. 24 Weement = (1401.4 – 14.6x) dx ㅇ Part 3. The work done in lifting the cement 24 ft is W 29428.8 ft-lb. Note: enter your answer using values correct to three decimal places.

Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb was lifted at a constant rate. As it rose, cement also leaked out at a constant rate. By the time the bag had been lifted to 24 ft, of the cement had leaked out. How much work was done lifting the cement this far? (Neglect the weight of the bag and lifting equipment.) Part 1. Assuming the force required to lift the cement is equal to its weight, find the force function, F(z), that acts on the cement when the bag is at a height of z ft. Hint: it will help to find the rate (in ) at which the cement leaking from the bag. F(x) = (143 – Part 2. Setup the integral that will give the work required to lift the cement 24 ft. 24 Weement = (1401.4 – 14.6x) dx ㅇ Part 3. The work done in lifting the cement 24 ft is W 29428.8 ft-lb. Note: enter your answer using values correct to three decimal places.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 16A: A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid...

See similar textbooks

Similar questions

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A vessel in the shape of a right circular cone has a capacity of 0.690 liter. The base diameter is 12.30 centimeters. What is the height of the vessel? One liter contains 1000 cubic centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36 inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs 0.302 pound per cubic inch.
The volume V of a cube is V=s3 , where s is the length of one side. Determine the volume of a cube with a side that measures 3.45 feet. Round your answer to 1 decimal place.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the base diameter of a right circular cone that has a volume of 922.4 cubic centimeters and a height of 14.85 centimeters.
A piece in the shape of a pyramid with a regular octagon (eight sided) base is machined from a solid block of bronze. Each side of the octagon base is 9.36 inches long. The height of the piece is 7.08 inches. The octagon base area 4.829, where s is the length of a side of the octagon. a. Determine the volume of the piece. Round the answer to the nearest cubic inch. b. Determine the weight of the piece. Round the answer to the nearest pound. Note: One cubic foot of the bronze used weighs 547.9 pounds per cubic foot.
The container is in the shape of a frustum of a right circular cone. The smaller base area is 426 square centimeters and the larger base area is 876 square centimeters. The height is 29.5 centimeters. Compute the capacity of the container in liters. One liter contains 1000 cubic centimeters. Round the answers to the nearest tenth liter.
Frictional Force The frictional force F between the tires and the road required to keep a car on a curved section of a highway is directly proportional to the square of the speed s of the car. If the speed of the car is doubled, the force will change by what factor?
Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of Cooling would be applied.
A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina refrigerator with an internal temperature of 35 .After ten minutes, the internal temperature of thesoda was 63F . Use Newton’s Law of cooling towrite a formula that models this situation. To thenearest degree, what will the temperature of thesoda be after one hour?
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a prism with a base area of 125 square inches and a height of 8 inches.
Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.