Ex. 27: A flywheel in the form of disc is initially at rest. When a constant torque acts on it for one minute, it attains a speed of 600 r.p.m. Calculate the torque if the mass and the radius of the disc are 10 kg and 0.4 m respectively.
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- Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.80 m. The merry-go-round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. final angular velocity: грmThree children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.40 m . The merry‑go‑round is spinning at 16.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg . If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses. Note: 1 Revoultion = 2π radians 20.2 rpm 18.3 rpm 12.2 rpm 5.61 rpmThree children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.40 m . The merry‑go‑round is spinning at 24.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses.
- A compact disk of diameter 8 cm starts from rest and speeds up uniformly to 2 rev/s in 4.0 seconds. What is the tangential acceleration of a point on the outer rim of the disk moving at 3 rev/s?A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10 s period following the inital spin, the bike wheel undergoes 70 complete rotations. Assuming the frictional torque remains constant, how much more time Δts will it take the bike wheel to come to a complete stop?A playground merry-go-round with a mass of 145 kg and a radius of 1.9 m is rotating with an angular frequency of 0.42 rev/s. -What is the magnitude of its angular velocity, in radians per second, after a 17 kg child gets onto it by grabbing its outer edge? The child is initially at rest.
- Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.50 m. The merry-go-round is spinning at 18.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. Question Credit: OpenStax College Physics 19.5 final angular velocity: rpm IncorrectTwo 1.5 kg spheres of radius 0.20 m are each rotating at 24 rad/s about axes that pass through their centers. One is a thin-walled spherical shell and one is solid. Suddenly, a net torque of 0.12 Nm acts on each sphere and slows the motion down. Which sphere (solid or shell) comes to a halt first?A 110 g Frisbee is 33 cm in diameter and has about half its mass spread uniformly in a disk and the other half concentrated in the rim. With a quarter-turn flick of the wrist, a student sets the Frisbee rotating at 700 rpm. What is the magnitude of the torque, assumed constant, that the student applies?
- A flywheel with moment of inertia l = 10 kg. m? starting from rest acquires an angular velocity of 15 rad/s while subject to a constant torque from a motor for 5 s. What is the magnitude of the torque in N.m?Suppose a yo-yo has a center shaft that has a 0.280 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.40 m/s2, what is the angular acceleration of the yo-yo in rad/s2? rad/s? (b) What is the angular velocity in rad/s after 0.750 s if it starts from rest? rad/s (c) The outside radius of the yo-yo is 3.80 cm. What is the tangential acceleration in m/s2 of a point on its edge? m/s?A space station shaped like a giant wheel has a radius of 113 m and a moment of inertia of 4.63 x 10 kg m. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. Your response differs from the correct answer by more than 10%. Double check your calculations, m/s?