A helicopter has two blades (see Figure 8.14), each of which has a mass of 240 kg and can be approximated as a thin rod of length R = 7.6 m. Figure 8.14 The blades are rotating at an angular speed of 39 rad/s.(a) What is the total moment of inertia of the two blades about the axis of rotation?  kg·m2 (b) Determine the rotational kinetic energy of the spinning blades.  J

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A: (a) The angular speed of a rod is, ω=2.70 rad/s The moment of inertia of the system can be given as,…

Q: A light rigid rod of length script l = 1.00 m in length rotates about an axis perpendicular to its…

A: Length of rod, L = 1 m  Masses, m1 = 4.25 kg  and m2 = 3 kg  Speed of each particle, v = 6.20 m/s

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A: the figure below, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a…

Q: A meter stick of mass m, 0.25 kg rotates about an axis passing through one end as shown in %3D…

A: ms = 0.25 Kg Is = 0.09 Kgm2 mp = 0.15 Kg Ws = 2.1 rad/s

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Q: A turntable with a moment of inertia of 1260 kg m^2 and a radius of 2.5 m rotates frictionlessly…

A: GivenI1= 1260 kgm2R = 2.5 mmass of person m = ?Angular velocity of table w1 = 1.7 rad sAngular…

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A: Given, Mass of the solid uniform disc, M = 7 kg radius of the disc, R = 0.65 m angular velocity, ω =…

Q: A figure skater is spinning at 10.8 rad/s with her arms extended. Her rotational inertia is 2.50…

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Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.20 x 104…

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Q: The moment of inertia of a uniform rod (about its center) is given by /= ML2/12. What is the kinetic…

A: Given: The mass of the rod is 450 g = 0.45 kg.                                      {  1 g = 0.001…

Q: A physics teacher on a spinning chair has a moment of inertia of 4.5 kg m^2 with his arm…

A: Given Data: The moment of inertia of the physics teacher when his arms are outstretched is: Io=4.5…

Q: Calculate the angular momentum of the person in the Problem 1. Problem 1 Calculate the force of…

A: The expression for the angular momentum is,

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Q: Each of the following objects has a radius of 0.150 m and a mass of 2.75 kg, and each rotates about…

A: If moment of inertia of an object is I and angular speed is W about an axis than its angular…

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Q: A merry-go-round rotates at the rate of 0.17 rev/s with an 90 kg man standing at a point 2.9 m from…

A: Given: initial angular speed  wi = 0.17 rev/smass of man   m = 90kginitial distance from center axis…

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Q: A flywheel, a solid disk with moment of inertia 2.5 kg-m2, spins on a central axis at 400 RPM. A…

A: Given: The moment of inertia of the disk is 2.5 kg·m2. The rotational speed is 400 RPM. The value of…

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Q: A typical helicopter with four blades rotates at 300 rpm and has a kinetic energy of 2.45  105 J.…

A: Using rotational kinetic energy,

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A: Given: M.I of solid disk→Is=15.5 kg m2 Torque→τ=8.72 N m Time interval →t=4.31 s Let's find disk's…

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.09 kg (see figure…

A: Given data: Mass of dumbbell is, m=3.09 kg When his arms are extended horizontally, the dumbbells…

Q: A spinning figure skater has a moment of inertia of 1.00 kgm with her arms tucked close to her body…

A: Given data: Moment of inertia when arms tucked close to body (I1) = 1.00 kgm2 Moment of inertia when…

Q: A student sits on a freely rotating stool holding two dumbbells, each of extended horizontally…

A: GivenMass of each dumbbells, m=2.93 kgr1=0.95 mω1=0.746 rad/sThe moment of inertia of the student…

Q: A light rod of length { = 1.00 m rotates about an axis perpendicular to its length and passing…

A:

Q: A spinning figure skater has a moment of inertia of 1.00 kgm2 with her arms tucked close to her body…

A: Given,  moment of inertia of skater when arms tucked close to her body , Iclosed = 1.00 kgm2 moment…

Q: A typical helicopter with four blades rotates at 240 rpm and has a kinetic energy of 3.45 105 J.…

A: The kinetic energy, KE=3.45×105 J   The angular speed, ω=240 rpm×2π rad1 rev×1 min60 s=25.13 rad/s

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Q: A uniform rod rotates in a horizontal plane about a vertical axis through one end. The rod is 16.00…

A: Givenlength of rod, L=16 mWeight of rod, W=26.67 NAngular velocity, ω=250 rpm

Q: An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.9 rad/s.…

A: Given data: Initial angular velocity, ωi=2.9 rad/s Initial moment of inertia, Ii=2.84 kg.m2 Final…

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.42 x 104…

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Q: A large turntable rotates about a fixed vertical axis, making one revolution in 5.50 s. A child of…

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.