A figure skater begins her scratch spin on frictionless ice under negligible drag with a rotational inertia of 2.1 kgm² and angular velocity of 50 rpm. She pulls her arms in and straightens her legs until she has a rotational inertia of 0.70 kgm2. What is her final angular velocity and the net torque on her throughout the scratch spin?

Q: The uniform thin rod in the figure below has mass M = 5.00 kg and length L = 3.45 m and is free to…

A:

Q: What is its rotational kinetic energy

A: Rotational kinetic energy after 4.2 second is 35.48 Joules . Explanation is in next step .

Q: A dancer is spinning with his arms extended. In this position his rotational inertia is 1.5 kg m?.…

A:

Q: A cylinder with rotational Inertia I, = 3.4 kg • m? rotates clockwise about a vertical axis through…

A: Since both cylinders rotate with the same axis, the angular speed of the combination is…

Q: A flywheel, a disk of a radius of 50 cm and mass of 150 kg, is accelerated from rest at 30.5 rad/s2…

A:

Q: A diver can change his rotational inertia by drawing his arms and legs close to his body in the tuck…

A: Let the initial rotational inertia of diver's  body = I New rotational inertia of diver's body =…

Q: A spherical shell with a mass of 1.45 kg and a radius of 0.35 m is rolling across the level ground…

A:

Q: The uniform thin rod in the figure below has mass M- 4.00 kg and length L 2.37 m and is free to…

A: Solution: Given that mass M = 4 kg length L = 2.37 m

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

A:

Q: A solid cylinder with rotational moment of inertia I= 0.5(MR²), where M=1kg and R = 10cm, starts…

A:

Q: A merry go round has a rotational inertia of 900 kg m^2 and a radius of 3 m. If a child with a mass…

A: mass of Merry go round , M = 900 kg mass of child , m = 50 kg radius ,r = 3 m

Q: (a) the position and acceleration of the particle at the start of motion, (b) time to complete 3 and…

A: Given data: The angular velocity is: ω The angular position is: θ The acceleration is: α (a)The…

Q: The uniform rod (length 0.60 m, mass 1.0 kg) rotates in the plane of the figure about an axis…

A:

Q: A disk of rotational inertia I about the central axis shown in Figure P11.51 is rotating about this…

A:

Q: A spherical shell with a mass of 1.65 kg and a radius of 0.37 m is rolling across the level ground…

A:

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

A: Given data: Moment of inertia (I) = 3.49 kg.m2 Rotational kinetic energy (KER) = 167 J Distance of…

Q: A figure skater is spinning with an angular velocity of +16.5 rad/s. She then comes to a stop over a…

A: (a) Average angular acceleration is,

Q: A disk with a moment of inertia of 7.3 kg m^2 spins at 19 rad/s about its center axis. What is its…

A:

Q: A grinding wheel is in the form of a uniform solid disk of radius 6.91 cm and mass 1.96 kg. It…

A: Radius (R) of uniform solid disk = 6.91 cm                                                    =…

Q: A figure skater is spinning with an angular velocity of +10.7 rad/s. She then comes to a stop over a…

A:

Q: F 2 m A solid disk with a 2-m radius is subjected to a force of F = 9ON applied tangentially to its…

A:

Q: A solid sphere with a radius of 0.37 and a mass 0.32 is set to rotate about its center. After a time…

A:

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 uniform rod of mass m = 5.3kg and length l = 1.3m rotates about a fixed frictionless pivot located…

A: As the rod rotates in vertical plane so a torque acting on it is due to the vertical component of…

Q: Two particles, each with mass m = 5.0 g, are fastened to each other and to a rotation axis at P, by…

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: f a fan with the moment of inertia of 3 kgm2 is spinning with an angular speed of 12 rad/s. What is…

A:

Q: A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular…

A:

Q: A Texas cockroach walks from the center of a circular disk (that rotates like a merry-go-round…

A:

Q: A uniform rod of length L= 4 m and mass M =2 kg is attached at one end to a frictionless pivot and…

A:

Q: A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular…

A:

Q: An ice skater spins at 13.2 rad/s with her arms extended. If her moment of inertia with arms folded…

A: Given : Angular velocity of the ice skater when arms extended, ω1 = 13.2 rad/s Moment of inertia…

Q: A figure skater begins her scratch spin on frictionless ice under negligible drag with a rotational…

A:

Q: If the student generated a 17NM torque for 4.0s to a wheel with a mass of 4.0kg and a radius 0.30m,…

A: Given data: Torque of the student τ=17N.m Mass of the wheel, m=4.0 kg The radius of the wheel…

Q: A sanding disk with rotational inertia 1.2x 103 kg•m² is attached to an electric drill whose motor…

A: a)If ∆L be the change in angular momentum within time ∆t then torque  τ=∆L∆t     ...(1)

Q: A solid sphere with a radius of 0.44 and a mass 0.26 is set to rotate about its center. After a time…

A: m=Mass of sphere=0.26 kgr=Radius=0.44 mt=Time=12.1 sω=Angular velocityKr=Rotational kinetic…

Q: The uniform rod (length 0.7 m) in figure rotates about an axis through one end, with a rotational…

A:

Q: During the launch from a board, a diver’s angular speed about her center of mass changes from zero…

A:

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 rigid object is initially at rest and set into rotational motion under a constant angular…

A:

Q: In the rotational motion experiment, a student wanted to measure the moment of inertia I of a disc,…

A: Given, Torque acting on the disk τ=2.7 N·m Angular acceleration of the disk α=21.01 rad/s2   We know…

Q: A figure skater with rotational inertia Iskater is spinning with angular speed ω. She pulls her arms…

A: SOlution: Given that Initial angular velocityω = ωon pulling her armI' = I3

Q: Three point masses are held in place by massless rods. The system lies on a horizontal plane and…

A: a) I = m1R12+m2R22+m3R32  I = mR2+(m/2)R2+(m/4)(R/2)2 I = (25/16)mR2

Q: A circular disk has a rotational inertia of 9.1 kg.m² and a constant angular acceleration of 8.1…

A:

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.