Riders are seated in a horizontal circle of radius 7.50 m on a carnival ride. They start from rest and accelerate uniformly for 21.0 seconds to a maximum rotational speed of 1.40 rad/s. Calculate the tangential acceleration of the riders during the first 21.0 s of the ride.
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.
Riders are seated in a horizontal circle of radius 7.50 m on a carnival ride. They start from rest and accelerate uniformly for 21.0 seconds to a maximum rotational speed of 1.40 rad/s. Calculate the tangential acceleration of the riders during the first 21.0 s of the ride.
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