ENGR_400_Module_7_Assignment

QUESTION 1 Consider the equations of motion of an armature controlled DC motor given by Jw(t)+bw (t) Ki (t) = di (l) L + Ri (t) + Kw (t) = -Tfriction - Tload (t) Vin (t), dt where vin(t) is the input voltage and Tload(t) is the input load torque. The outputs are the armature current i(t) and the motor speed w(t). When the input voltage and torque are constant, the transient response of this system has the form of the homogeneous solution. What is the time constant of the transient response? Find the characteristic roots of this system first. Keep 3 significant figures, and do not include units. Use scientific notation. The constants are given below: Nominal voltage, Vin(t) = 17 V Moment of inertia of the rotor, J = 0.02 kg-m² Motor viscous friction constant, b = 0.009 N-m-s Friction torque, Tfric = 0.003 N-m Armature inductance, L = 0.1 H Armature resistance, R = 0.35 Back emf constant and motor torque constant, K = 0.21 N-m/A. **Recall that the time constant (or relaxation time) is…

A hydraulic transmission operating at 110-bars pressure has the following characteristics Pump VD = 65 cm³ nx = 86% nm = 92% N = 1740 rpm Find the a. Displacement of the motor b. Motor output torque motor VD = ? nx = 93% ♫m = 89% N = 550 rpm

QUESTION 8 Consider the equations of motion of an armature controlled DC motor given by Jw(t)+bw (t) Ki(t) = -Tfriction - Tload (t) di (t) + Ri (t) + Kw (t) = Vin (t), dt where vin(t) is the input voltage and Tload(t) is the input load torque. The outputs are the armature current i(t) and the motor speed w(t). The steady-state response of motors are specified by nominal voltage, stall torque, stall current, no load speed, and no load current. At steady-state operation, the motor equations satisfy bo) -Ki =-T -T. fric load Ri +Kov_- 55 55 The stall torque is the load torque required stead-state speed of the motor is zero. The stall current is the armature current when the motor speed is zero. The no load speed is the speed of motor when the load torque is zero. The no load current is the current when the load torque is zero. What is stall torque for this motor in N-m? Keep 3 significant figures, and do not include units. Use Scientific notation. The constants are given below. Nominal…

the torque-velocity (T/(w)) relations of the two machines with their shafts clamped together at constant voltage; T1(w)=a1-b1w                            a1=150Nm             b1=1Nm . s/rad T2(w)=a2-b2w                            a2=270Nm            b2=2Nm . s/rad friction will be neglected and there is also no load.   question= Find the idle speed of the motors alone (not clamped).?

Given the information for a motor, determine its LCC in term of present worth (in $). Annual discount rate (i.e. interest rate): 10% Life time: 5 years Initial cost: $6500 Energy usage: $500/year Maintenance cost: $400/year Salvage value: $500 A 9601 B 11471 с 11068 D 12170 E 10625

A 7,5 kW electric motor (star-delta start) running at the speed of 900 r/min is to drive a laundry machine, which operates 12 hours per day, by means of a simplex chain drive. The laundry machine must run at approximately speed of 308 r/min. Based on the space restrictions, the center-line distance is limited to 400 mm. Specify the length of chain (in mm) to be used as well as the exact center-line distance. Note that the form of lubrication used is TPYE 2.

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Topic: Mechanics of Machines & Vibrations \ Damped System under Sinusoidal ExcitationSolve this problem through a step-by-step working without taking any shortcuts. Draw any relevant diagrams if necessary.

Parameter Value Unit Remarks Inertia 36 tonne m? Damping 20 N-m.s Train mechanisms only Load Torque 117.720 kN-m A train has the effective total properties in the preceding table. It is desired to be able to completely stop the train from full speed in 15 seconds, while maintaining rated supply to the field. 1. Find the number of DC motors needed to run and decelerate the train without any motor being subjected to more than its rated capabilities. Assume uniform load distribution; identical machine models, terminal voltages, and controls. 2. Derive an expression for the armature current la(t) in each machine. 3. Derive an expression for the instantaneous terminal voltage Va(t) required for the controllers. 4. Due to practical limitations, it is often necessary to stop regenerative braking once one of the following occurs: zero-speed, zero Va(t), or zero la(t). Determine the angular speed (in rpm) at which this occurs.

The nameplate data of a separately excited DC motor is PN=5.5kW, UN=110V, In=80A, n=1000r/min. Try to plot its inherent mechanical properties of this motor.

EFx=0= (0.433 F1) - (0.667 F2) - (0.866 F3) + (0.342 P) EFy=0= - (0.250 F1) + (0.667 F2) EFz=0= (0.866 F1) + (0.333 F2) + (0.500 F3) - (0.940 P) Find the magnitude of F1, F2, and F3

Q5.A 50 HZ, 4-poles star connected induction motor has a slip=0.04 & Pout=20hp find: (1).Synchronous speed in r.p.m.(ns) 2)rotor speed in r.p.m(n;) 3). Rotor frequency (f:). 4Loud torque, 5) Rotor frequency Note: 1hp=746watt

A single phase motor of 210 V, its circuit shown below, calculate motor slip, forward torque and backward torque. 3.3 Ω 540 I 210 V I 41.3 1.48 L63.8 2 U 87 067 U 87 006 7

Question 5 . Saved The rotational speed of 1000 rpm is equivalent to 104.72 rad/s 159.15 rad/s 16.67 rad/s Question 6 Saved The rotational speed of 1000 rpm is equivalent to a period of 0.06 s 16.67 s 0.6 s Question 7 Consider four springs with spring constants kl= 20N/m , K2=50 Nm K3=100 Nm, K4=200 Nm, What is the equivalent spring constant if K123 are in parallel and with K4 in series. 360 N/m 270 N/m 91.89 N/m

Solve correctly please.

Assume that you are to design a 3V V-belt drive. Given that input speed as 1750 rpm and nominal output speed as 725 rpm. Starting with belt linear velocity 4000 ft/min, specify the output sheeve D2 once you specify D1 from last question. D2 = ___ in. Provide write down steps including equations.    *** 21.07 and 21.1 were marked incorrect

SHOW THE COMPLETE SOLUTION FOR THIS EQUATION:

O f =9f 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: 0.2 sec 0.3 sec O 0.15 sec 0.1 sec O 0 05 sec A block-spring system has a maximumrestong force Fomax = 0.1N. If the amplit

An unbalanced small motor with me-1.2 kg.m is directly bolted to a machine with a mass of 500 kg. The machine is attached to the floor using an isolator with k=75000 N/m, e=1850 Ns/m (Weight of the motor is neglected.) a) Determine that how much percent of the force is transmitted to the floor if motor turns with n-250 rpm. b) Determine the rotation speed of the motor corresponding to the damped natural frequency of the system. e) Determine the vibration displacement amplitude at the speed calculated in part b).

In a no-load motor, a constant electromagnetic torque of 5 Nm is generated at t = 0. The engine reached 1800 revs in 4 seconds. Calculate motor inertia ignoring friction.

Theoretical value of frequency Wn = L (@n)? = *thread length=28cm Practical value of frequency No. Tmain (sec) = total time/5 time for (5) oscillations 1 T, =5.37s 2 T2 =5.64s 3 T3 =5.31s 4 T4 5.35s 5 T5 5.73s Tmain Tn = 1 fn = Tn Wn = 2 n fn Compare (wn) the result of a theoretical experiment with a practical one

i need the answer quickly

Question 2 Beli vifth Slack side Motor (imprut) Tight side Beli thickpess\ Centre distance Figure 2 Figure 2 shows an open flat belt drive connected to a motor and a pulley. The motor transmits 20 kw to the connect pulley of 450 mm diameter and is rotating at 850 r/min to a second pulley rotating at 400 r/min. The distance between pulley centres is approximately 2 m. The belt is 6 mm thick and has a density of 970 kg/m. The maximum stress in the belt is not to exceed 2,7 MPa. The coefficient of friction for both pulleys is 0,3. Determine: 2.1. The diameter of the second pulley. 2.2. The length of the belt. 3.3. The width of the belt taking centrifugal tension into account.

Use the curve to determine the current the motor/gearmotor will draw while lifting the 0.5 kg mass.

Find the natural frequency (w) and the period (T). Given this value of mass (m) = 0.5 kg and spring constant (K)=857.8 N/m O A w = 41.42 rad/s, T=0.162s B. w = 51.42 rad/s, T=0.152s O Cw = 41.42 rad/s, T=0.152s

53 B 36 19 a = 30° B = 79⁰ Y = 0° 0 = 81° 36 radius Find the velocity and acceleration of the bicycle. 4 bar linkage problem. 60deg/s constant CCW angular velocity of the rider's thigh (upper leg), solve the mechanism kinematics and find the bicycle linear velocity and acceleration at this instant. Assume the gear ratio of the bicycle is 1.5. Hint: Use a fixed axis kinematics method with the x- axis along the 61 cm frame from the crank center to rider's pelvis.

NOTE: Do not solve the whole numerical.I only want the simplified schematic diagram of the plant showing all the necessary data displayed on it.