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 15.0 rpm in a time of 48.0 s. What is the average angular acceleration ?avgαavg of the merry‑go‑round in units of radians per second squared (rad/s2 )? What is the angular displacement Δθ of the merry‑go‑round, in units of radians (rad), during the time the child pushes the merry‑go‑round? What is the maximum tangential speed ?max of the child if she rides on the edge of the platform?
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 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 15.0 rpm in a time of 48.0 s.
What is the average
What is the
What is the maximum tangential speed ?max of the child if she rides on the edge of the platform?
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