A race car, starting from rest, travels around a circular turn of radius 29.3 m. At a certain instant, the car is still accelerating, and its angular speed is 0.621 rad/s. At this time, the total acceleration (centripetal plus tangential) makes an angle of 35.0 with respect to the radius. What is the magnitude of the total acceleration?
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 race car, starting from rest, travels around a circular turn of radius 29.3 m. At a certain instant, the car is still accelerating, and its angular speed is 0.621 rad/s. At this time, the total acceleration (centripetal plus tangential) makes an angle of 35.0 with respect to the radius.
What is the magnitude of the total acceleration?
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