The speed of the motor, w of a centrifuge in a Chemical Engineering Laboratory is given by equation dw V = (0.02)" + (0.06)w dt Assuming a system without damping with a voltage input of V-20. If the initial speed is zero, use Heun with a single corrector method and a step size of h = 0.4 s to find the speed at t 0.8 s a) b) Given exact solution is 1000 1000 3t Compare your answer with (a) by calculating percent relative error. c) Use Microsoft Excel Plot comparison of speed obtained by Heun and exact solution.

Q: The equation for the parachutist's velocity is given by: gm (1-e-c/m)t) where t is the time, g is…

A: We will solve this question using fixed-point iteration scheme.

Q: The upward velocity of a rocket can be computed by the following formula: v = uln mo mo-qt - gt…

A:

Q: A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping…

A: Given that Weight =64 lbs damping force=252 lbs We have to find equation for object displacement…

Q: A motorboat weighs 32,000 lb and its motor provides a thrust of 3000 lb. Assume that the water…

A:

Q: A car drives with a velocity v(t) = 5 + 3t

A: velocity function, v(t)=5+3tTo find acceleration function.

Q: A 800-lb object is released from rest 600 ft above the ground and allowed to fall under the…

A: According to the given information, it is required to determine the equation of motion of object…

Q: A spring with a 5-kg mass and a damping constant 15 can be held stretched 2 meters beyond its…

A: The objective is to find the position of the mass, after t seconds.

Q: The air in a room 15 ft by 12 ft by 12 ft is 4% carbon monoxide. Starting at t=0, fresh air…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.