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 merry‑go‑round? Δ?=
What is the maximum tangential speed ?max of the child if she rides on the edge of the platform? ?max=
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 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...
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 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.
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 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 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg ? m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it?...
A brave child decides to grab on to an already spinning merry-go-round. The child is initially at rest and has a mass of 26.5 kg. The child grabs and clings to a bar that is 1.45 m from the center of the merry-go-round, causing the angular velocity of the merry-go-round to abruptly drop from 55.0 rpm to 19.0 rpm. What is the moment of inertia of the merry-go-round with respect to its central axis?
A brave child decides to grab onto an already spinning merry-go-round. The child is initially at rest and has a mass of 33.5 kg. The child grabs and clings to a bar that is 1.20 m from the center of the merry-go-round, causing the angular velocity of the merry-go-round to abruptly drop from 47.0 rpm to 17.0 rpm. What is the moment of inertia of the merry-go-round with respect to its central axis? moment of inertia: kg. m²
Starting at rest, a child applies a 63N force tangent to the edge of a merry-go-round through 31 2 rotations. At that moment, she stops and admires her spinning merry-go-round. Then she jumps onto the edge of the merry-go-round. The girl’s mass is 25kg, the merry-go-round’s moment of inertia is 70kg· m2, and the merrygo-round’s diameter is 2.0m. What is the final angular speed of the girl and merry-go-round? Child applies tangential force. Fan
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?...