Derive a dynamic model of the car speed v

Assignment Help Electrical Engineering

Reference no: EM13225680

Suppose a car of mass m moving on a straight west-east highway at velocity v(t) (positive for motion from west to east) experiences aerodynamic drag force with magnitude ?v(t) opposing its motion. The traction (force propelling the car forward by the ground) is equal to ku(t), where u(t) is the throttle angle (that decides the fuel flow into the engine). The parameters k, ? are known positive constants.
1. Derive a dynamic model of the car speed v(t).
2. Determine the transfer function from u to v. Is this transfer function BIBO stable?
3. Determine the transfer function from u to x, where x(t) is the position of the car at time t. Is this transfer function BIBO stable?
4. Is instability always bad or are there situations when it is desirable?

Reference no: EM13225680

Questions Cloud

Explain the molar solubility of agcl : How many grams of CaCO3 will dissolve in 2.8 multiplied by 102 mL of 0.050 M Ca(NO3)2? Calculate the molar solubility of AgCl in a solution made by dissolving 10.0 g of CaCl2 in 4.50 L of solution.

Important for managers to have a working knowledge : Why is it important for managers to have a working knowledge of perception and attribution?

What are the special challenges in each area : What are the special challenges in each area and what would be the effects on employees and employers if the challenges were not addressed?

Which machine should the bank rent : Then determine the cost to the bank (in lost interest) for each hour that a check spends waiting for and undergoing processing. Assuming that interarrival times and service times are exponential, which machine should the bank rent?

Derive a dynamic model of the car speed v : Suppose a car of mass m moving on a straight west-east highway at velocity v(t) (positive for motion from west to east) experiences aerodynamic drag force with magnitude v(t) opposing its motion.

Estimate the average number of pizza restaurants : estimate the average number of pizza restaurants in Bloomington. (b) What fraction of the time will there be more than 20 pizza restaurants in Bloomington?

Compute the concentration of ions : Calculate the concentration of ions in the following saturated solutions. (a) [I -] in AgI solution with [Ag+] = 9.6 multiplied by 10-9 M

Determine whether the boolean funcions are equivalent : Determine whether the Boolean funcions F=a'c+ab'c+ab and G=b'c+a'bc+abc+ab are equivalent using algebraic manipulation.

What are the potential long-term problems : What are the potential long-term problems for unions in agreeing to labor-management cooperation programs?

User Account

All Pages