The rotational inertia about the center of a figure skater is 2.5 kg m? while her arms are outstretched and 1.5 kg m² while her arms are folded against her body. If she has an angular velocity of 6 rad/s while her arms are outstretched, what would be her angular velocity while her arms are folded against her body? 8)

Q: In the figure below a cylinder having a mass of 2.5 kg can rotate about its central axis through…

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Q: While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the…

A: The rotational kinetic energy of the leg is given as,  K.E(rot) = ½Iω2 where I is the moment of…

Q: A diver leaves the platform with her body straight. Her body is in a relatively slow rotation, with…

A: The rotation is about the centre of mass of the model, so the moment of inertia is,Substitute the…

Q: A force is applied to the rim of a disk that can rotate like a merry-go-round, so as to change its…

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Q: A 86.3 kg horizontal circular platform rotates freely with no friction about its center at an…

A: Angular velocity of plateform with its load is  W = 1.126 rad/sec

Q: 10.) Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius…

A: The mass of the disk is M = 98 kg, and radius R = 1.5 mThe mass of children are:m1 = 22.4 kg m2 =…

Q: What is the angular momentum of a 3.0-kg uniform cylindrical grinding wheel of radius 26 cm when…

A: Angular momentum is defined as the product of moment of inertia and angular speed. L = I*ω where,…

Q: A boy and girl with the same mass m run with the same speed v toward a stationary merry-go-round of…

A: The boy and girl in the scenario have equal mass and travel with the same velocity. But they land at…

Q: In the middle of a spin, a figure skater halved his moment of inertia by bring his arms and leg in.…

A: The angular momentum remains conserved when no external torque acts on the body. Hence, the angular…

Q: A sanding disk with rotational inertia 3.7 x 10-3 kg-m² is attached to an electric drill whose motor…

A: In this question we have to find the angular momentum and angular velocity. Please give positive…

Q: having negligible masses in the figure, and Solid rods running along the y-axis connect the three pa…

A: rotational kinetic energy =(1/2)Iw2

Q: think rotational speed is wrong

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Q: Consider the father pushing a playground merry-go-round. He exerts a force of 250 N at the edge of…

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Q: A person of mass 70 kg stands at the center of a rotating merry-go-round platform of radius 3.1 m…

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Q: b) On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance…

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Q: 49. Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of 6.00…

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Q: What is the angular momentum of a figure skater spinning at 2.4 rev/s with arms in close to her…

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Q: The pulley in Figure 8-71 has a moment of inertia of 6.4 kg ∙ m2 about the axis of rotation and a…

A: Given moment of inertia =  6.4 kg.m2  radius = 0.26 m m1 = 31kg m2 =13kg  Assume that the tabletop…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.