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Q2 An electrical device was measured for its current, I fluctuates at a number of different values of time, t. The results are given in the table below. Calculate the current, I at t = 1.4 second by using the following methods: Id=0.2222 t (s) 0.6 1.1 1.5 1.9 I(A) 0.621a 0.711a 1.91la 6.21 (a) The Lagrange interpolation with Linear and Quadratic approximation. (b) Newton's divided difference.

Q2 An electrical device was measured for its current, I fluctuates at a number of different values of time, t. The results are given in the table below. Calculate the current, I at t = 1.4 second by using the following methods: Id=0.2222 t (s) 0.6 1.1 1.5 1.9 I(A) 0.621a 0.711a 1.91la 6.21 (a) The Lagrange interpolation with Linear and Quadratic approximation. (b) Newton's divided difference.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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02 An electrical device was measured for its current, I fluctuates at a number of different values of time, t. The results are given in the table below. Calculate the current, I at t = 1.4 second by using the following methods: Id=0.2222 t (s) 0.6 1.1 1.5 1.9 I(A) 0.62la 0.711a 1.91la 6.21 (а) The Lagrange interpolation with Linear and Quadratic approximation. (b) Newton's divided difference.
Transcribed Image Text:02 An electrical device was measured for its current, I fluctuates at a number of different values of time, t. The results are given in the table below. Calculate the current, I at t = 1.4 second by using the following methods: Id=0.2222 t (s) 0.6 1.1 1.5 1.9 I(A) 0.62la 0.711a 1.91la 6.21 (а) The Lagrange interpolation with Linear and Quadratic approximation. (b) Newton's divided difference.
Q3 (a) The velocity of an upward rocket is given by, v(t) = u ln m, - gt, Id=0.2222 ib - u where m, is the initial mass of a rocket at t=0s, q is the rate at which fuel is expelled (kg/s) and u is the velocity at which is being expelled (m/s). Given the initial mass of the rocket is 90,000 kg, the rocket expels fuel at a velocity of 1300 m/s, at consumption rate of 2000 kg/s and g =9.8067 (m/s). (i) Identify a suitable time interval between 6.8 seconds to 7.1 seconds that has b-a =0.1 using intermediate value theorem, so that the rocket able to reach a velocity of 150 m/s. (ii) Examine the time needed for the rocket to reach a velocity about 150 m/s by using bisection method with the suitable interval found in Q3(a)(i) and iterate until f() <8 = 0.0005 or 4th iteration.
Transcribed Image Text:Q3 (a) The velocity of an upward rocket is given by, v(t) = u ln m, - gt, Id=0.2222 ib - u where m, is the initial mass of a rocket at t=0s, q is the rate at which fuel is expelled (kg/s) and u is the velocity at which is being expelled (m/s). Given the initial mass of the rocket is 90,000 kg, the rocket expels fuel at a velocity of 1300 m/s, at consumption rate of 2000 kg/s and g =9.8067 (m/s). (i) Identify a suitable time interval between 6.8 seconds to 7.1 seconds that has b-a =0.1 using intermediate value theorem, so that the rocket able to reach a velocity of 150 m/s. (ii) Examine the time needed for the rocket to reach a velocity about 150 m/s by using bisection method with the suitable interval found in Q3(a)(i) and iterate until f() <8 = 0.0005 or 4th iteration.
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