The torque transmitted to an induction motor is a function of the slip between the rotation of the stator field and the rotor speed s where slip is defined as
where
Figure P16.25 shows this function. Use a numerical method to determine the slip at which the maximum torque occurs.
FIGURE P16.25
Torque transmitted to an inductor as a function of slip.
Want to see the full answer?
Check out a sample textbook solutionChapter 16 Solutions
Numerical Methods For Engineers, 7 Ed
- According to the Stefan-Boltzmann Law, the thermal radiation energy emitted (per unit time) by a hot object is proportional to the fourth power of the absolute temperature: E = kT, where k is a proportionality constant and T is measured in kelvin. Find the relationship between the measured error in temperature T and the resulting error in energy E.arrow_forwardA closed thermodynamic system consists of a fixed amount of substance (i.e. mass) in which no substance can flow across the boundary, but energy can. For a closed themodynamic system we cannot add energy to the system, via substance (E ) (1.e. matter which contains energy is not allowed across the boundary) Across the Boundaries E° = No Q = = Yes W mass NO CLOSED = Yes SY STEM m = constant | energy YES Figure 1.1. If the substance inside the thermodynamic system shown in figure 1.1. (i.e. piston cylinder device) is air, is the system a Fixed closed system Moveable closed system A. В.arrow_forwardOne mole of a gas obeys the Ideal Gas Law PV = 20T, where P is pressure, V is volume, and T is temperature. If the temperature T of the gas is increasing at the rate of 5 °C/s and if, when the temperature is 80 °C, the pressure P is 10N/m? and is decreasing at the rate of 2- find the m2 . s rate of change of the volume V with respect to time.arrow_forward
- A higher-order differential equation given as y" + p(x)y' g (x)y = O is a homogenous equation, even if p(x) = 0. A higher-order differential equation given as y" + p(x)y' + q(x)y = 0 is also a homogenous equation, even if g(x) = 0. O Only first statement is true. O Only second statement is true. O Both first and second statements are true. O Both first and second statements are false.arrow_forwardbarometric pressure or 1 atmospheric 1 pressure is equal to 1.019 kgf/cm2 O 1 kgf/cm2 O 0.9 kgf/cm2 O 0 kgf/cm2 O * What is the period of vibration of a system that has k=5000 and m=55 kg 0.658 sec 0 sec O 0.557 sec C 0.612 sec The specific volume of a liquid is :the reciprocal of mass density specific volume specific weight O weight density * A pressure gage connected to a tank reads 500 kPa at a location where the atmospheric pressure is 94 kPa. .Determine the absolute pressure in the tank 594 KPa O 550 KPa 600 KPa 602 KPa A Carnot heat engine operates between a source at 1000 K and a sink at 300 K. If the heat engine is supplied with heat at a rate of 800 kJ/min, determine the thermal efficiency 70% 72% 75% 80% OOarrow_forward0.052 J A block attached to a spring, oscillates on a frictionless horizontal surface with a period of 0.3 s. The time needed by the block to move (for the first time) from position x = -A to x = -A/2 is: %3D 0.3 sec 0.1 sec O 0.2 sec 0.15 sec 0.05 sec A traveling wave on a taut string with a tension force T, is given by the wavearrow_forward
- Q2. A spring mass system has a natural frequency of 10 Hz. When the spring constant is reduced by 800 N/m, the frequency is altered by 45 percent. Find the mass and spring constant of the original system. (Ans : k 1146.9534 N/m, m 0.2905 kg)arrow_forwardA student extends then releases a mass attached to a spring. A graph of the mass's displacement over time is shown below. Displacement (cm) ← 5 4 3+ 2+ 1+ -14 -2- -3 -4+ -5- 1 2 3 4 What is the period of the oscillation? 5 6 7 Time (s) 8arrow_forwardEach time your heart beats, your blood pres- sure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called the systolic and diastolic pressures, respectively. Your blood pressure reading is written as systolic/diastolic. A reading of 120/80 is considered normal. A certain person's blood pressure is modeled by the function p(1) = 115 + 25 sin(16071) where p(t) is the pressure in mmHg (millimeters of mer- cury), at time t measured in minutes. Find the blood pressure reading. How does this compare to normal blood pressure?arrow_forward
- From the curves shown in Animated Figure and using the following Equation, determine the rate of recrystallization for pure copper at the several temperatures. Make a plot of In(rate) versus the reciprocal of temperature (in K-1). (a) Determine the activation energy for this recrystallization process. (See Section FACTORS THAT INFLUENCE DIFFUSION.) (b) By extrapolation, estimate the length of time required for 50% recrystallization at room temperature, 20°C (293 K). (a) i kJ/mol (b) i daysarrow_forwardQI: A shaft carries four masses in parallel planes A, B, C and D in this order along its length. The masses at B and C are 18 kg and 12.5 kg respectively, and each has an eccentricity of 60 mm. The masses at A and D have an eccentricity of 80 mm. The angle between the masses at B and C is 100° and that between the masses at B and A is 190°, both being measured in the same direction. The axial distance between the planes A and B is 100 mm and that between B and C is 200 mm. If the shaft is in complete dynamic balance, determine: 1. The magnitude of the masses at A and D; 2. the distance between planes A and D ; and 3. the angular position of the mass at D.arrow_forward4- A thermometer having a time constant of 0.4 min. is placed in a temperature bath and after the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly with time at the rate of 2 deg.C min. what is the difference between the indicated temperature and bath temperature after : (a) 2 min. (b) 20 min.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY