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 child pushes the merry‑go‑round (rad/s2)? PART 3 What is the maximum tangential speed ?max of the child if she rides on the edge of the platform (rad/s2)? DO NOT RESPOND UNLESS YOU ARE ANSWERING ALL 3 PARTS OF THE QUESTION, SHOWING YOUR STEPS TO GET THERE, AND INCLUDING THE ANSWERS
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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 6.00 m. 6.00 m. The...
A child sits on a merry‑go‑round that has a diameter of 6.00 m. 6.00 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 19.0 rpm in a time of 44.0 s. 44.0 s. What is the average angular acceleration ? avg αavg of the merry‑go‑round in units of radians per second squared ( rad/s 2 )? ? avg = _rad/s2 What is the angular displacement Δ? Δθ...
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 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 at a distance of 3.0 m from its axis of...
A child sits on a merry-go-round at a distance of 3.0 m from its axis of rotation. The coefficient of static friction between the child and the surface of the merry-go-round is 0.6. Find the largest angular velocity (in rpm) the merry-go-round can have before the child starts to slide outward. Your solution must show a free-body diagram of the child.
Three children are riding on the edge of a merry-go-round that is 162 kg, has a...
Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 17.4, 29.0, and 32.8 kg. If the child who has a mass of 32.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? rpm An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min. (a) What is its angular acceleration in rad/s2?...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed 0.50 rad/s in the clockwise direction about a fixed axis. A child of mass 40 kg runs tangentially to the merry-go-round with speed 3.0m/s and grabs onto the outside edge of the merry-go-round. a. What is the final angular velocity of the system (merry-go-round plus child)/ What is the final tangential speed of the child? b. What is the change in kinetic energy? c....
A child sits ona merry-go-round at a distance of 3.0 m from its axis of rotation.Thecoefficient...
A child sits ona merry-go-round at a distance of 3.0 m from its axis of rotation.Thecoefficient of static friction between the childand the surface of the merry-go-round is 0.6.Find the largestangular velocity(in rpm) the merry-go-round can have before the child starts to slide outward. Your solution must showa free-bodydiagram of the child
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 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 = 0.40 rad/s and β = 0.012 rad/s3 Calculate the angular velocity of the merry-go-round as a function of time Calculate the average angular velocity ωav − z for the time interval t = 0 to t = 4.0 s.
A 50.0 kg child is on a 200.0 kg merry-go-round with a radius of 1.50 m....
A 50.0 kg child is on a 200.0 kg merry-go-round with a radius of 1.50 m. The child starts at 0.5 m from the center and moves to the edge. The child's parent accelerates the merry-go-round from rest at 0.75Td to a speed of 1.5 Fad How long did the parent push the merry-go-round? How much force is required to hold the child when at 0.5 m from the center? (This centripetal force could be from friction, holding on, or...
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...
Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 17.3 rpm. The children have masses of 17.4, 29.0, and 32.8 kg. If the child who has a mass of 32.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? rpm An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min. (a) What is its angular acceleration in rad/s2?...
A 50.0 kg child is on a 200.0 kg merry-go-round with a radius of 1.50 m. The child starts at 0.5 m from the center and moves to the edge. The child's parent accelerates the merry-go-round from rest at 0.75Td to a speed of 1.5 Fad How long did the parent push the merry-go-round? How much force is required to hold the child when at 0.5 m from the center? (This centripetal force could be from friction, holding on, or...
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