Given that g = 4^2l/T^2, where r is the acceleration due to gravity, L is the le

Question

Given that g = 4^2l/T^2, where r is the acceleration due to gravity, L is the length of a pendulum in meters and T is the period of the pendulum in seconds. Find the maximum error in calculating g when l = I meter and T = 2 seconds if the error in measuring l and T is 0.01 meter and 0.1 seconds respectively. b) A container in the shape of prism of length 100 cm and its cross-section is an inverted isosceles triangle. Water is being poured into the container and the base and height of the triangle is increasing at the constant rate of 2 cm per minute and 3 cm per minute respectively. Find the rate at which the volume of the water is increasing when the base and height of the triangle is 4 cm and 5 cm respectively. Suppose the population density (people per square mite) of Bandar Demerol can be modeled by f(x, y) = 5000xe^x/1 + 2x^2 where x, y are measured in miles. By using double integration, find the population inside the region defined by the vertices (0, 0), (4, 0), (0, -2) and (4, -2). Choose one of the previous questions Then, nuke a video and use your creativity to explain the concept and your answer. There is no specific format for the video, but all group members must be in the video and please introduce your name.

Explanation / Answer

Given that

length L=1 m

time t=2sec

the error of length L'=0.01 m

the error of time t'=0.1 sec

now we find the the percentage error in the acceleration due to gravity

the percentage error in the acceleration due to gravity g'/g=(L'/L)+2(T'/T)

=(0.01/1)+2(0.1/2)

=0.01+0.1

=0.11

  

therefore the percentage error g'/g*100=0.11*100=11%

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