A children's playground merry-go-round consists of a circular platform of radius 2.0 m, which rotates about a central axis. A father, pushing on the outer edge, accelerates the merry-go-round from rest to a final tangential speed of 3.0 m/s in one full revolution. There is a child on the merry-go-round standing half way between the centre and the edge.

Q: Everyday application: Suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its…

A: r = 0.25 cm  a = 1.5 m/s2 initial velocity, u =0  time, t =0.75 s  R = 3.5 cm

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: Q.2) A cord is wrapped around a cylinder of radius 0.2 meters, as shown in the figure. Starting from…

A: The given values are, r=0.2 mω0=0aB=10 m/s2θ=10 rev=10 rev2π rad1 rev=20π rad

Q: disk rótates with a constant angular acceleration of 2.80 rad/s2. It starts from rest at t = 0, and…

A: Diameter =47.4 cm  And radius r=23.7cm = 0.237m   We have to find the angular speed and linear…

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

A:

Q: Problem 9: The rotor blades of a helicopter are rotating at a constant angular velocity of 6.0…

A:

Q: Mary is an avid game show fan and one of the contestants on a popular game show. She spins the wheel…

A: in this question we use equation of angular motion.

Q: Ferris wheel rotates at an angular velocity of 0.29 rad/s. Starting from rest, it reaches its…

A:

Q: An airliner arrives at the terminal, and the engines areshut off. The rotor of one of the engines…

A:

Q: A playground merry-go-round has radius R = 2 m and moment of inertia I = 250 kg · m². The…

A:

Q: A basketball player entertains the crowd by spinning a basketball on his nose. The basketball has a…

A:

Q: A circular saw blade completes 1500 revolutions in 30 seconds while coasting to a stop after being…

A: Frequency  blade  f = 1500/30 = 50 Hz (a) direction of angular velocity is  perpendicular to the…

Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…

A:

Q: A solid, uniform bowling ball (mass 5.5 kg and radius 15 cm) starts at rest at the top of an incline…

A: a=Acceleration=0.98 m/s2g=Acceleration due to gravity=9.81 m/s2h=Height of slope=3.3 mv=Velocity of…

Q: At its lowest setting a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is…

A:

Q: A dentist's drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

A: Given Data Initial angular speed is ωi=0 Final angular speed of the drill is, ωf=2.51×103 rev/min…

Q: A boy stands at the center of a platform that is rotating without friction at 1.0 rev/s. The boy…

A: It is given that,

Q: At its lowest setting a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is…

A:

Q: At its lowest setting, a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is…

A:

Q: What is the radial and tangential acceleration at any point on the rim at the start?

A:

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: 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: A compact disk in the computer rotates with a speed of 250 revolutions per minute A) express the…

A:

Q: You are cycling with your friends every Saturday. You notice that the wheels of your bike make 12…

A:

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: At its lowest setting a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is…

A: Given data: Initial angular velocity (ω0) = 250 rad/s Time (t) = 9.5 s Final angular velocity (ω) =…

Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…

A:

Q: Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is…

A:

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

A: Given:- The system has a moment of inertia of 84.4 kg · m2 The father exerts a force on the…

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: 3.45-kg centrifuge takes 99 s to spin up from rest to its final angular speed with constant angular…

A: Given,mass of the centrifuge, m = 3.45 kgtime taken, t = 99 speed, v = 178.2 mspoint is located at,…

Q: .  A wheel has a constant angular acceleration of 5.0rad/s25.0rad/s2. Starting from rest, it turns…

A: Given value--- angular acceleration = 5 rad /s2.  initial angular velocity = 0 rad /s. angle = 300…

Q: The dung beetle is known as one of the strongest animals for its size, often forming balls of dung…

A:

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

A:

Q: A disk of mass M is spinning freely at 4.77 rad/s when a second identical disk, initially not…

A: Given:  mass of disc = M  initial angular velocity = 4.77 rad/s

Q: A dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate…

A:

Q: the angular velocity

A:

Q: The angular position of a point on a rotating wheel is given by θ = 1 + 8t^2 +5t^3, where θ is in…

A: Given, θ=1+8t2+5t3   (a) What is its angular velocity at t = 3 s…

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

A:

Q: A ceiling fan can accelerate from rest to 2pi rad/s in 8 seconds. (A) what is the angular…

A: .

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 playground uniform merry-go-round has a mass of 110 kg and a radius of 1.90 m and it is rotating…

A: mass of merry go round (m) = 110 kg radius of merry go round (r) = 1.90 m angular velocity (ω) = 40…

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.