FIGURE 9.27 Visual overview of the merry-go-round. Before: After: Wi Wf m R M Known Find: Tf T= 2.5 s М 3- 200 kg m= 36 kg R=2.0 m

Q: A spinning figure skater who brings their arms close in to their body will then spin faster. The…

A: Given Mass of the skater is M=50 kg Length of the arm is Ri=0.8 Ω Initial angular speed is ωi=2…

Q: A child, hunting for his favorite wooden horse, is running on the ground around the edge of a…

A: The child should cover π2 radians more than the merry-go-round. given; angular speed of child =…

Q: Julie, 40 kg, is standing on the edge of a merry-go-round at rest which has a moment of inertia of…

A: The mass of Julie is m = 40 kg. The moment of inertia is I = 800 kg m2. The radius of merry go round…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A:

Q: Conceptual Example 14 provides useful background for this problem. A playground carousel is free to…

A:

Q: A playground merry-go-round, with radius 2.0 m and moment of inertia 51 kg m2, rotates with an…

A: The rotational analog of linear momentum is called angular momentum and is given as:L=Iωwhere I is…

Q: Conceptual Example 14 provides useful background for this problem. A playground carousel is free to…

A: Given that: Ig=114 kg-m2r1=1.53 mωi=0.607 rad/sr2=0.759 mωf=0.703 rad/s

Q: 6. A 30-kg child stands on the edge of a stationary merry-go-round of mass m= 100 kg, and radius of…

A: Given quantities: Mass of the child (M) = 30 kg mass of the merry-go-round (m) = 100 kg radius (r) =…

Q: child is riding a merry-go-round, which has an angular speed of 2.15 rad/s and an angular…

A: Given Child is standing 3.465 m from the center of the merry-go-round is r=3.465 m Angular…

Q: You are told that a basketball player spons the ball on his finger with an angular acceleration of…

A:

Q: A girl of mass 35.2 kg stands on the rim of a frictionless merry-go-round of radius 0.949 m and…

A: Given: The mass of the girl is 35.2 kg. The radius of the merry-go-round is 0.949 m. The moment of…

Q: A playground merry-go-round, with radius 1.8 and moment of inertia 115 kg m2, rotates with an…

A: The moment of inertia of the merry-go-round I=115 kgm2 The initial angular velocity of the…

Q: Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia…

A: Given:- merry-go-round. The system has a moment of inertia of 84.4 kg. m² angular acceleration of…

Q: theta = -4.6276t2 - 0.1865t - 0.0166 What is the initial angular velocity and the angular…

A: θ = -4.6276t2 - 0.1865t - 0.0166 Angular velocity (w) = dθ/dt w = -9.2552 t - 0.1865 rad/secAngular…

Q: A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 270 kg - m and is…

A: Radius, r = 1.2 mInitial moment of inertia, I1 = 270 kg.m2Angular speed, ω1 = 8 rev/minMass of the…

Q: A solid sphere with a radius of 7.0 cm and a mass of 0.2 kg starts from rest and rolls freely down a…

A:

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,

Q: Two girls ?1 = 21.0 kg and ?2 = 29.0 kg are standing 1.00 m away from the center of a rotation…

A: Given:  mass of first girl, m1 = 21 kg  mass of second girl, m2 = 29 kg  mass of disc, M = 350 kg…

Q: A playground carousel is free to rotate about its center on frictionless bearings, and air…

A:

Q: A child, hunting for his favorite wooden horse, is running on the ground around the edge of a…

A:

Q: Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of…

A:

Q: A playground merry-go-round has a radius of 4.30 mm and a moment of inertia of 243 kg⋅m2kg⋅m2 and…

A: Radius of merry go round (R) = 4.3 m Moment of inertia (I) = 243 kg.m2A) Applied force (F) = 25 N…

Q: Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of…

A:

Q: A car is traveling along a road, and its engine is turning over with an angular velocity of +210…

A: (a) The angular velocity is given by, ω0=θt  θ=ω0t Substituting the given values, θ=210 rad/s13.0 s…

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of  105 kg  and a radius…

A:

Q: In the figure here, a 32 kg child stands on the edge of a stationary merry-go-round of radius 2.3 m.…

A: Mass of child, mc = 32 kgRadius of merry-go-round, rm = 2.3 mRotational inertia of merry-go-round,…

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of…

A: In the given question We have to determine new angular speed in rpm.

Q: Some people are able to spin a basketball on the tip of a finger. It is often done by balancing the…

A: given initial angular speed ω0 = 0 rad /s  final angular speed ω=19.75 rad/s time take to reach…

Q: A person of mass 76 kgkg stands at the center of a rotating merry-go-round platform of radius 3.5 mm…

A: The given data are listed below with appropriate variables. Here, m denotes the mass of a person, r…

Q: Review Multiple-Concept Example 7 in this chapter as an aid in solving this problem. In a fast-pitch…

A: (given)                     Radius (R) of the circle = 0.650 m Angular acceleration (α) of the ball…

Q: A solid disk [mass = 4.39 and radius 0.559 m) is rotating at 19.34 rad/sec.  A large fly (0.993 kg)…

A:

Q: While you are on an archaeological dig in Egypt, you observe a scarab beetle of mass m lies on the…

A:

Q: Conceptual Example 14 provides useful background for this problem. A playground carousel is free to…

A:

Q: What is the final angular velocity in unit of rad/sec of a solid sphere with radius of 9.78 meters…

A: The given data are: R=9.78 mh=66.37 mg=9.8 m/s2ωi=0 Here, ωi is the initial angular speed.

Q: Rock and Rollin'. A solid, uniform, perfectly spherical rock (I = 2/5M R?) starts from rest and…

A: Given:

Q: A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 255 kg · m2 and is…

A: Given that                 The radius of the ground is R = 1.20m                 Moment of inertia I…

Q: ball rolls on the ground at a speed of 3.0 m/s without slipping. If the radius of the ball is 10 cm,…

A:

Q: A spherical shell with a mass of 0.43 and a radius of 0.3 is to roll across the level ground under a…

A:

Q: Some people are able to spin a basketball on the tip of a finger. It is often done by balancing the…

A:

Q: 1.756-kg sphere of radius 0.31 m is rotating about an axis through its center at 24.843 rev/s with…

A: Given: The mass of the sphere is 1.756 kg. The radius of the sphere is 0.31 m. The angular velocity…

Q: A playground merry-go-round has a mass of  133kg and a radius of  1.82m and it is rotating with an…

A: Firstly moment of inertia of merry go round will be calculated as follows: I=MR2I=1331.822I=440.5492…

Q: A flywheel starts from rest until it reaches a constant angular acceleration of 5 rad/s2 after 3.0…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Angular acceleration (α) = 5 rad/s2 Time (t) =…

Q: In a playground, there is a turntable that rotates freely without friction. The turntable is a…

A: Write the expression for conservation of angular momentum

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.