Please show all work!! Figure is provided, work on a-c please. Problem 1.An aircraft's propeller consists of a rigid hub of radius R and a flexible taperedblade of length 3R that has density p (kg/m³). The propeller is rotating about the center of the hubwith a steady angular velocity », thereby creating an effective axial distributed force in the blade.Neglect forces due to gravity. The cross sectional area distribution of the blade is A(r), defined asA₁ if R hubbladeR3R

a) Expression for Body Force Due to Rotational Acceleration The aircraft's propeller consists of a…

Answered: Problem 1. An aircraft's propeller…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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The maximum total primary force in a three cylinder radial engine with axes 120° to one another stroke length 100 mm, speed 3000 rpm, 1.5 kg of reciprocating mass/cylinder is
1 A SPHERICAL PORCELAIN BALL, WITH RADIUS R, IS DROPPED WITHOUT INITIAL VELOCITY IN A TEST TUBE CONTAINING GLYCERIN. DURING FALL, THE BALL IS SUBJECT TO THE FOLLO... A spherical porcelain ball, with radius r, is dropped without initial velocity in a test tube containing glycerin. During fall, the ball is subject to the following forces: P its weight; A the thrust of Archimedes; fluid friction force f = k v with k = 6 πrn; n: viscosity (Pa s) of Glycerin, V, velocity Density of Glycerin pg= 1.3 g/mL; density of porcelain pp = 2.3 g/mL; r ball radius= 1.0 cm; n = 1.0 s.Pa; g = 10 N/kg; volume of a sphere V = 4/3 πr³. The speed limit (in m/s) is: 0.11 0.22 0.44 0.33 0.55
The propeller on Don Karnage's airplane can be modeled as three identical thin rods of uniform density extending radially from the rotational axis of the propeller. To take off, the propeller must accelerate from rest to 633 rpm in 4 s. If the length and mass of each rod are 0.872 m and 3.11 kg, what must be the magnitude of torque in N*m) necessary to accelerate the propeller? Explain how you solved the problem involving something undergoing angular acceleration Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!
i need the answer quickly
For a rotating shaft modeled as shown, find maRA and mgRB, placed in correc- tion planes A and B, respectively, that dynamically balance the system. Use: mı=2.2 kg, m;=1.8 kg, lA=25 cm, l=110 cm, 2=360 cm, lB=400 cm, R;=85 cm @ 95°, R2=70 cm @ 190°. mi A B mi XI X2 | l . li m2 12 IB m2
A windmill turns a series of slender rods fixed about one end . They are initially 2 meters long, and go at a speed of 15 revolutions per minute. I suggested making the blades 1m long to reduce the cross-sectional area of the windmill, keeping the mass the same for mechanical stress consistency. How fast are the windmill blades going now, in revolutions per minute?
5) Find the horizontal displacement of the floor (mass m) of the building frame shown in Fig. when the ground acceleration is given by x = 100 sin cot mm/sec : Assume: m=2000 kg, k=0.1 MN/m, @= 25 rad / s. and x₂ (t=0)=x₂ (t=0)= x(t=0)= x(t=0)=10. x(1) *(t) = A cos cot K7
2. (20%) In the rotary system as below, where tire mass m, =12 kg, axle mass m, = 3 kg, and radius r= 0.30 m. 1) The mass of all the other parts is ignorable. What is the moment of inertia J for the overall system with respect to the center? 2) What is the torque T for an external force F 25 N working on the top edge of the tire as indicated in Fig. 1, where the direction of the force is perpendicular to the radius? 3) What is the angular acceleration of the system? m, Fig 1. Tire and Wheel Rotary System
A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a flywheel in the form of a uniform solid cylinder rotating around its axis, with moment of inertia I = 1/2 mr2. 1) Consider a scenario in which the flywheel described in part (a) (r1 = 0.55 m, mass m1 = 16 kg, v = 45 m/s at the rim) is spinning freely at its maximum speed, when a second flywheel of radius r2 = 2.8 m and mass m2 = 11 kg is coaxially dropped from rest onto it and sticks to it, so that they then rotate together as a single body. Calculate the energy, in joules, that is now stored in the wheel. 2) Return now to the flywheel of part (a), with mass m1, radius r1, and speed v at its rim. Imagine the flywheel delivers one third of its stored kinetic energy to car, initially at rest, leaving it with a speed vcar. Enter an expression for the mass of the car, in terms of the quantities defined here.
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Suppose the optimum spacing of wind turbines is estimated to be 4 rotor diameters between wind turbines within a row and 7 diameters between rows. Estimate the total area onshore required constructing a farm of thousand turbines of diameter 100 m each built in 20 rows. wind 4 diameters 7 diameters
Dynamics of rigid bodies Problem 1

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