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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 radius to achieve an angular acceleration of 4,44 rad/s?. (a) How long (in s) does it take the father to give the merry-go-round an angular velocity of 2.21 rad/s? (Assume the merry-go-round is initially at rest.) (b) How many revolutions must he go through to generate this velocity? revolutions (c) If he exerts a slowing force of 290 N at a radius of 1.30 m, how long (in s) would it take him to stop them?

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 radius to achieve an angular acceleration of 4,44 rad/s?. (a) How long (in s) does it take the father to give the merry-go-round an angular velocity of 2.21 rad/s? (Assume the merry-go-round is initially at rest.) (b) How many revolutions must he go through to generate this velocity? revolutions (c) If he exerts a slowing force of 290 N at a radius of 1.30 m, how long (in s) would it take him to stop them?

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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 radius to achieve an angular acceleration of 4.44 rad/s2. (a) How long (in s) does it take the father to give the merry-go-round an angular velocity of 2.21 rad/s? (Assume the merry-go-round is initially at rest.) (b) How many revolutions must he go through to generate this velocity? revolutions (c) If he exerts a slowing force of 290 N at a radius of 1.30 m, how long (in s) would it take him to stop them?
Transcribed Image Text: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 radius to achieve an angular acceleration of 4.44 rad/s2. (a) How long (in s) does it take the father to give the merry-go-round an angular velocity of 2.21 rad/s? (Assume the merry-go-round is initially at rest.) (b) How many revolutions must he go through to generate this velocity? revolutions (c) If he exerts a slowing force of 290 N at a radius of 1.30 m, how long (in s) would it take him to stop them?
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