Q2: The turbine rotor of a ship has a mass of 2.2 tones and rotates at 1800 rpm clockwise when viewed from the aft (rear). The radius of gyration of the rotor is 320 mm. Determine the gyroscopic couple and its effect when the (i) ship turns right at a radius of 250 m with a speed 25 km/h (ii) ship pitches with the bow rising at an angular velocity of 0.8 rad/s (iii) ship rolls at an angular velocity of 0.1 rad/s. (50 points) Q2: The turbine rotor of a ship has a mass of 2.2 tones and rotates at 1800 rpmclockwise when viewed from the aft (rear). The radius of gyration of the rotoris 320 mm. Determine the gyroscopic couple and its effect when the (i) shipturns right at a radius of 250 m with a speed 25 km/h (ii) ship pitches with thebow rising at an angular velocity of 0.8 rad/s (iii) ship rolls at an angularvelocity of 0.1 rad/s.(50 points)

Given, M=2200Kg R=250m K=0.32m N=1800rpm Velocity ,V=25km/h =>V=6.94m/s

2: The turbine rotor of a ship has a mass of 2.2 tones and rotates at 1800 rpm clockwise when viewed from the aft (rear). The radius of gyration of the rotor is 320 mm. Determine the gyroscopic couple and its effect when the (i) ship turns right at a radius of 250 m with a speed 25 km/h (ii) ship pitches with the bow rising at an angular velocity of 0.8 rad/s (ii) ship rolls at an angular velocity of 0.1 rad/s.

2: The turbine rotor of a ship has a mass of 2.2 tones and rotates at 1800 rpm clockwise when viewed from the aft (rear). The radius of gyration of the rotor is 320 mm. Determine the gyroscopic couple and its effect when the (i) ship turns right at a radius of 250 m with a speed 25 km/h (ii) ship pitches with the bow rising at an angular velocity of 0.8 rad/s (ii) ship rolls at an angular velocity of 0.1 rad/s.

Related questions

Q: AB: Slender bar of mass m 21.

A: Given: The mode shapes is determined based on the following system as, The values are given as k=1.5…

Q: 3. A nonlinear oscillator of mass 1 has dimensionless potential energy (3x² – x*)/2. For a…

A: The complete elliptic integral of the first kind K(k) is defined as…

Q: A pendulum is swinging back and forth. The angele 0 that the pendulum's string makes with e vertical…

A: We will first differentiate angular displacement to get angular velocity following maximizing…

Q: A pendulum clock that works perfectly on Earth is taken to the moon, where g = 1.63m/s?. If the…

A: Time period The time period of a pendulum is defined as the time required to complete one…

Q: could you please explain and show the breakdown to this answer Amplitude = 2ym (cos Pi/4)...from…

A: The figure shows the isosceles triangle.

Q: A wave of frequency 2.5 Hz travels in the x direction with a speed of 20 m s¹. Calculate the phase…

Q: A particle moves with a simple harmonic motion through space. When time was zero, its position was…

A: Given:- By simple harmonic motion the covered particle total energy is at equilibrium…

Q: 5) A block-spring system oscillates in a simple harmonic motion on a frictionless horizontal table.…

Q: y=0.05sin(3×3.14x-18×3.14t+C) If at t=0 an element at x=0 has a vertical displacement y=-0.025 m and…

A: y=0.05sin(3×3.14x-18×3.14t+C)if at t=0 an element at x=0vertical displacement y=-0.025 m

Q: Obtain the polar plot of the following system and determine the gain and phase shift at the corner…

Q: USING LA PLACE TRANSFORM ON A FORCED VIBRATION mi +kx + cx = F(t) To ARRIVE IN THIS EQUATION: Folk (…

A: Vibration is the term that is used when there is a disturbance in the initial position of the body.…

Q: why amplitude is equal to (ymax - y min)/2

A: Amplitude is the measure of the height achieved by a wave. It is the maximum displacement of the…

Q: ate: Masc Physics Show that For Harmonic ascillator the Commutator of â â and ât is equal to 1. a

Q: 01. i) Should the damping of a forced harmonic oscillator be large or small for a high and narrow…

Q: Suppose David places a stone on a 1.5 m long wave and begins to rotate the stone in a nearly…

A: Given Data Length of the wave is l=1.5 m Initial angular speed of the stone is ω0=0 Final angular…

Q: (1) sh (3) 2h 3h. (2) For the self-experiment with the ruler, rubber eraser, and the 10…

Q: A car presses the brake of its car by exerting a force of intensity of 60 N and direction…

A: Given:- The force applied to the pedal F = 60 N direction perpendicular to the pedal. The moment…

Q: A particle of mass 5 kg moves along the x axis under the influence of a restoring force F = -40x in…

A: By Newton's law, so, the equation of motion will be,

Q: 2. Consider the system pictured: (a) Find normal frequencies for the two masses. (b) Find the…

Q: What is the phase constant for SMH with a(t) given in the figure if the position function x(t) has…

A: as=20m/s2 x=xm cos wt+ϕv=dxdt=-xm w sinwt+ϕa=dvdt=xmw2 cos wt+ϕ

Q: We can relate the simple harmonic motion of a mass-spring system to uniform circular motion by…

Q: The Ice cream machine i got for my birthday is in my office i want to make the shaft to reduce the…

A: Given that: acceleration, a(max)=6g frequency, f=6.57 kHz 2 g = 19.612 m/s2 To determine: a) what…

Q: A spring-mass system consists of a mass m = 2.0 kg and spring with spring constant k = 290 N/ %3D…

A: Given Mass m = 2.0 kg spring constant k = 290 N/m We have to find out angular frequency

Q: Q3: A spring is mounted linear ,by attaching a spring balanced to the free end and pulling sideways,…

A: Given: F orce (F) = 4 N; displacement of 0.02 m (x); When we attach a 2 kg body to the end, pull it…

Q: 3. The figure below shows a simplified model of a rate gyroscope, which is an instrument that can be…

Q: An object is doing a simple harmonic motion. When the vibration displacement was 0.2 m from the…

Q: A lady bug sits 11.5 cm from the center of a turntable spinning at 33.33 rpm. The Sun is shining…

A: radius(r)=11.5 cm=0.115m angular speed(ω)=33.33 rpm we need to convert rpm into rad/secω=33.33×2π60…

Q: y" + 6y' + wy = cos wt Find the amplitude of the steady-state solution for practical resonance…

A: Given the forced damped oscillation equation, y''+6y'+ω20y=cosωt Has amplitude given by the formula,…

Q: 60 : The displacement of a particle performing linear S.H.M. at any instant 'ť is given by x = 6 sin…

A: In the following question we have to find frequency (n) and Phase constant α of S.H.M. In this case…

Q: A 0.50-kg object is attached to an ideal massless spring of spring constant 20 N/m 19) along a…

Q: If the pendulum has a mass of 2.20 kg and the pivot (axis) is located 0.350 m from the center of…

Q: 3. The velocity at any time t of a simple harmonic oscillator is given by: v(t)= -5.884sin(26.203t),…

A: Given V(t) = - 5.884sin(26.203t) And time t=185.229seconds

Q: 6. A mass attached to a spring sliding on a frictionless surface is traveling right at 4 m/s when it…

A: In the given problem, a mass attached to a spring performs a simple harmonic motion. When the spring…

Q: A 0.844 kg spring with force constant equal to 75 N/m oscillates with simple harmonic motion along…

Q: A musician is playing a tuba. If she plays a note and holds it for a significant length of time, the…

Q: 6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position…

Q: I am confused with the Moment of inertia calculation. please explain it. (Don't use chatgpt)

Q: 5. Keeping in mind that the moment of inertia of a solid sphere is / = MR2, consider a solid sphere…

A: Given: The radius of the sphere is R = 4 cm The initial velocity of the sphere is u = 3 m/s The…

Q: llustration | 1 A particle is projected from the surface of the earth with a speed of -1 20 ms at an…

Question

Q2: The turbine rotor of a ship has a mass of 2.2 tones and rotates at 1800 rpm clockwise when viewed from the aft (rear). The radius of gyration of the rotor is 320 mm. Determine the gyroscopic couple and its effect when the (i) ship turns right at a radius of 250 m with a speed 25 km/h (ii) ship pitches with the bow rising at an angular velocity of 0.8 rad/s (iii) ship rolls at an angular velocity of 0.1 rad/s. (50 points)

Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.

Expert Solution