A 40 kg child is in a swing that is attached to a pair of ropes 2.00 m long. What is the moment of inertia of the child swinging about the turning point pivot?

Q: A skater starts a spin at 1.5 rps (rotation per second), her initial moment of inertia is 2.6 Kgm².…

A: Given, initial angular velocity of the skater, ωi = 1.5 rps initial angular moment of inertia of…

Q: What is the moment of inertia of a 1-kg solid sphere with a radius of 3 meters?

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Q: A motor turns the spool of radius R = 1.0 m to lift the block of mass m = 25 kg. If the spool has…

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Q: The moment of inertia of the top shown in the figure is 6.00×10–3 kg.m2 and is initially at rest.…

A: Given data:  Moment of inertia (I) = 6.00 × 10-3 kg.m2 Tensile force (F) = 6.87 N The rope pulled…

Q: Find the moment of inertia of a rod with a mass of 0.5 kg and a length of 0.75 m when rotated about…

A: Given data:  A rod Mass (m) = 0.5 kg Length (L) = 0.75 m Required: The moment of inertia about its…

Q: Someone is standing on a frictionless platform that is rotating at 2.1 revolutions per second.  In…

A: If   I = moment of Inertia and w = Angular speed , then Kinetic Energy ( KE ) is given by KE=12Iw2…

Q: A 50-N · m torque acts on a wheel with a moment of inertia 150 kg · m². If the wheel starts from…

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Q: What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through…

A: The moment of inertia of rod about an axis at one end and perpendicular to it is:

Q: An electric fan spinning with an angular speed of 13 rad>s has akinetic energy of 4.6 J. What is…

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Q: A windmill has an initial angular momentum of 8500 kg # m2>s.The wind picks up, and 5.86 s later…

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Q: Calculate the moment of inertia of a 10 kg rod that has a length of 4m with an axis of rotation…

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Q: A man is pulling himself up to a pulley that consists of two disks welded together as shown. The man…

A: Consider the free-body diagram of the pulley and the man as follows.

Q: What is the kinetic energy of a 120-cm thin uniform rod with a mass of 450 g that is rotating about…

A: solution is given as

Q: A 2 kg hoop with a radius of 5 cm rolls without slipping. If the linear speed of the hoop is 2 m/s.…

A: Required : Translational kinetic energy

Q: 13. A thin wire of length l and mass m is bent in the form of a semi-circle. Its moment of inertia…

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Q: What is the moment of inertia with respect to the y-axis perpendicular to the center of a rod of…

A: Given data: Mass of mass of rod is, M=3 kg. Length of rod is, L=4 m.

Q: A ceiling fan is turned on and a net torque of 2.9 N*m applied to the blades. The blades have a…

A: Net torque   τ = 2.9 N·mmoment of inertia I= 0.56 kg·m2

Q: A wind turbine has a moment of inertia of 2.8*10^11 kg*m^2 . How much energy is required to speed it…

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Q: An object rotates at 3 rad/s and has a moment of inertia of 5 kg•m². What is the object's angular…

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Q: A Solid cylinder with a moment of inertia 1/2mr2 and a hoop with moment of inertia mr2 are released…

A: Given :-  I of cylinder = 1/2 (mr2) I of hoop = (mr2) α = 30o =  π/6 rad. torque of cylinder = I α =…

Q: A wheel is attached directly to the shaft of a motor. When the motor applies a constant torque of…

A: Dear student The relation between Torque, Angular acceleration and Moment of Inertia is given as :…

Q: Small blocks, each with mass m, are clamped at the ends and at the center of a rod of length L and…

A: Given small blocks with mass m, are clamped at the ends and at the center of a rod of length L and…

Q: Find the moment find the moment of inertia of a 2 kg Mass attached to a rope of length L = 0.75m.

A: Given : Mass=m=2 kg Radius of Circle=Length of rope=L=0.75 m

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: 10kg 15kg 1. Two masses are attached the ends of a massless meterstick. The meter stick is then…

A: Given, mass m1= 10kg m2 = 15kg total length of meterstick = 1m r2 =0.35m (from 15kg weight.)

Q: A 14-cm diameter CD has a mass of 22 g . What is the CD's moment of inertia for rotation about…

A: Given data:  Diameter (D) = 14 cm Mass (m) = 22 g = 0.022 kg Required: Moment of inertia for…

Q: One of the wrenches in my toolbox has a mass of 0.25 kg, is 19 cmin length and has a center of mass…

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Q: The lightweight wheel on a road bike has a moment of inertia of 0.097 kg m. Amechanic, checking the…

A: When we toss a ball on the ground, it begins to move with some velocity. However, no force should be…

Q: A spool of thread consists of a cylinder of radius R, with end caps of radius R, as depicted in the…

A: (a)   In the given system, the force T acts towards the right, the frictional force (f) exerted by…

Q: A mass m = 0.2 kg is hung from a string wound around a solid circular cylinder of mass M The pulley…

A: Given:- The mass of the hanging box is m = 0.2 kg  The mass of the solid cylinder of mass M = 1 kg…

Q: The moment of inertia of a wheel is 10 kg.m^2. The wheel starts from rest and accelerates under the…

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Q: The work done in accelerating a propeller from rest to an angular speed of 35 rad/s is 1000 J. What…

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Q: Two weights of mass m and 4m are attached to the ends of a massless rod of length L. What is the…

A: Given :      mass, m1 = m      mass, m2 = 4m     Length  of the rod = L Then, length from center of…

Q: It took a constant 500 W power to run an engine from rest to its operating speed in 20 seconds. What…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: The net work done in accelerating a propeller from rest to an angular velocity of 200 rad/s is 3 000…

A: Given: The net work done by the propeller is E=3000 J. The angular velocity is ω=200 rad/s.   The…

Q: • When a ceiling fan rotating with an angular speed of 3.66 rad>sis turned off, a frictional…

A: The angular speed of fan (w) = 3.66 rad/s = 3 66 × 9.5492) rpm The Torque acting on the fan (T) =…

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

Q: Suppose manufacturers increased the size of compact discs so they were made of the same material and…

A: Write a given values of this question. D1=2D2R1=2R2M1=M2

Q: The figure above shows two barbells, which can be modeled as two point masses connected by a…

A: Given : L = 0.77 m Mass m = 20.1 kg Moment of inertia of barebells is given by  I=m1m2m1+m2L2…

Q: When a ceiling fan rotating with an angular velocity of 3.60 rad/s is turned off, a frictional…

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Q: A wind turbine has a moment of inertia of 2.2*10^12 kg*m^2 . How much energy is required to speed it…

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Q: A torque of 4.93 Nm is applied to an object with a moment of inertia of 6.15 kg m^2. What is the…

A: Answer:-  Given  Torque (T) = 4.93 Nm  Moment of inertia(I) = 6.15 kg m2 Angular acceleration = ?…

Q: What is the moment of inertia of an object that rolls without slipping down a 2.00-m-high incline…

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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.