The big pyramid of Cheops was built from 2551 BC till 2528 BC. That is in a time
ID: 3008034 • Letter: T
Question
The big pyramid of Cheops was built from 2551 BC till 2528 BC. That is in a time period of 23 years. See also lecture 3.1. There exist different hypothesis on how the pyramids were constructed. In this assignment you will investigate one of these hypothesis where the stone blocks were rolled uphill. Calculate the volume of the pyramid, given the dimensions in figure 1. Each block of stone has a weight of 2500 kg. The mass density of the stone is approximately 2500 kg/m^3. What is the rate (time) at which stones must have been delivered, given that the workers only work for 10 hours/day? Calculate the total mass and the center of mass of the pyramid (ignoring the inner cavities). What is the total potential energy that is stored in the pyramids?Explanation / Answer
1. Volume of Pyramid = a2 x h/3
= 2302 x 146/3
= 2574466.67 m3
2. First calculate number of hours workers worked in 23 years:
during period 2551 BC to 2528 BC there were 6 leap years so
number of days were = 100812 days (6x12x366 + 17x12x365)
number of hours workers worked = 100812x10 = 1008120 hours
Total Weight = Weight of one stone x Volume of Pyramid
= 2500 x 2574466.67
=6436166675 kg
Rate = Mass/Time
=6436166675 / 1008120
= 6384.33 Kg/hour
3. (a) Total Mass = 6436166675 kg
(b) center of mass = h/4
= 146/4
= 36.5 m
4. potential energy = mgh
= 6436166675 x 9.8 x 36.5
= 2350.6 x 1000000000
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.