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Answer the problem 1(a) (b) (c) (d), problem 2(a) (b)
PROBLEM 1: A child is pushing...
A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with...
A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+βt3, where γ= 0.400rad/s and β= 1.25×10−2 rad/s^3. Part A Calculate the angular velocity of the merry-go-round as a function of time.Express your answer in terms of the variables β, γ, and t. Part B. What is the initial value of the angular velocity? Express your answer in terms of the variables β, γ, and t. Part C Calculate the...
A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according t...
A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+βt3, where γ= 0.394 rad/s and β= 1.25×10−2 rad/s3. Calculate the angular velocity of the merry-go-round as a function of time. Express your answer in terms of the variables β, γ, and t.
A child sits on a merry-go-round that has a diameter of 6.00 m. The child uses...
A child sits on a merry-go-round that has a diameter of 6.00 m. The child uses her legs to push the merry-go-round, making it go from rest to an angular speed of 15.0 rpm in a time of 37.0 s. What is the average angular acceleration aavg of the merry-go-round in units of radians per second squared (rad/s2)? avg0.042 rad/s2 What is the angular displacement Δθ of the merry-go-round, in units of radians (rad), during the time the child pushes...
A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses...
A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 19.0 rpm in a time of 47.0 s. What is the average angular acceleration ?avg of the merry‑go‑round in units of radians per second squared (rad/s2)? ?avg= What is the angular displacement Δ? of the merry‑go‑round, in units of radians (rad), during the time the child pushes the...
A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses...
A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 20.0 rpm in a time of 44.0 s. PART 1 What is the average angular acceleration ?avg of the merry‑go‑round in units of radians per second squared (rad/s2)? PART 2 What is the angular displacement Δ? of the merry‑go‑round, in units of radians (rad), during the time the...
Consider a father pushing a child on a playground merry 90 round. The system has a...
Consider a father pushing a child on a playground merry 90 round. The system has a moment of inertia of 14.4 kgm its 1.50 m radius to achieve a torque of 375 N m . . The father exerts a force on the merry-go-round perpendicular to (a) Calculate the rotational Kinetic energy (in) in the merry-go-round plus child when they have an angular velocity of 14.8 rpm. (b) Using energy considerations, find the number of revolutions the father will have...
Consider a father pushing a child on a playground merry-go-round. The system has a moment of...
Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia of 84.4 kg · m2. The father exerts a force on the merry-go-round perpendicular to its 1.50 m radius to achieve a torque of 375 N · m. (a) Calculate the rotational kinetic energy (in J) in the merry-go-round plus child when they have an angular velocity of 10.0 rpm. ___J (b) Using energy considerations, find the number of revolutions the father will...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr = 1000 kg*m2) with a constant force F = 90 N applied tangentially to the edge of the merry-go-round (i.e., the force is perpendicular to the radius). The merry-go-round resists spinning with a frictional force of f = 10 N acting at a radius of 1 m and a frictional torque τ = 15 N*m...
An 85.0 kg child runs in a straight line towards the edge of a stationary merry-go-round...
An 85.0 kg child runs in a straight line towards the edge of a stationary merry-go-round at 2.50 m/s. The merry-go-round is in the shape of a disk and has a diameter of 4.50 m and a mass of 235 kg. The child jumps onto and stays on the merry-go- round. What is the angular momentum of the child before this collision, in kg m2/s? (A) What is the moment of inertia of the merry-go-round, in kg m27 [B) What...
A child is standing on the edge of a merry-go-round, 1.5 m from the center. At...
A child is standing on the edge of a merry-go-round, 1.5 m from the center. At t = 0 the child has a linear speed of 8.0 m/s. 12 seconds later the ride has slowed down and the child’s speed is now 3.0 m/s. What are the: a) Angular Acceleration b) Radial Acceleration at t = 12s c) Tangential Acceleration d) Magnitude of the Total Acceleration at t = 12s
A child sits on a merry-go-round that has a diameter of 6.00 m. The child uses her legs to push the merry-go-round, making it go from rest to an angular speed of 15.0 rpm in a time of 37.0 s. What is the average angular acceleration aavg of the merry-go-round in units of radians per second squared (rad/s2)? avg0.042 rad/s2 What is the angular displacement Δθ of the merry-go-round, in units of radians (rad), during the time the child pushes...
Consider a father pushing a child on a playground merry 90 round. The system has a moment of inertia of 14.4 kgm its 1.50 m radius to achieve a torque of 375 N m . . The father exerts a force on the merry-go-round perpendicular to (a) Calculate the rotational Kinetic energy (in) in the merry-go-round plus child when they have an angular velocity of 14.8 rpm. (b) Using energy considerations, find the number of revolutions the father will have...
An 85.0 kg child runs in a straight line towards the edge of a stationary merry-go-round at 2.50 m/s. The merry-go-round is in the shape of a disk and has a diameter of 4.50 m and a mass of 235 kg. The child jumps onto and stays on the merry-go- round. What is the angular momentum of the child before this collision, in kg m2/s? (A) What is the moment of inertia of the merry-go-round, in kg m27 [B) What...
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