Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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 17.0 rpm. (b) Using energy considerations, find the number of revolutions the father will have to push to achieve this angular velocity starting from rest. revolutions (c) Again, using energy considerations, calculate the force (in N) the father must exert to stop the merry-go-round in three revolutions. N

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 17.0 rpm. (b) Using energy considerations, find the number of revolutions the father will have to push to achieve this angular velocity starting from rest. revolutions (c) Again, using energy considerations, calculate the force (in N) the father must exert to stop the merry-go-round in three revolutions. N

icon
Related questions
Question
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 17.0 rpm. (b) Using energy considerations, find the number of revolutions the father will have to push to achieve this angular velocity starting from rest. revolutions (c) Again, using energy considerations, calculate the force (in N) the father must exert to stop the merry-go-round in three revolutions. N
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 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 17.0 rpm. (b) Using energy considerations, find the number of revolutions the father will have to push to achieve this angular velocity starting from rest. revolutions (c) Again, using energy considerations, calculate the force (in N) the father must exert to stop the merry-go-round in three revolutions. N
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer