A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 16 rpm in 11.0 s. Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 560 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. - Calculate the torque required to produce the acceleration, neglecting frictional torque. - What force is required at the edge?
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 16 rpm in 11.0 s. Assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 560 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge.
- Calculate the torque required to produce the acceleration, neglecting frictional torque.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images
