A wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades are 25 m in length. (a) What is the angular acceleration of the turbine (in rad/s?)? (Indicate the direction with the sign of your answer.) rad/s2 (b) What is the centripetal acceleration (in m/s2) of the tip of the blades at t = 0? (Enter the magnitude. Round your answer to at least two decimal places.) m/s2 What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.)
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 wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 17 s. Its blades are 25 m in length.
(a) What is the
_________rad/s2
(b) What is the centripetal acceleration (in m/s2) of the tip of the blades at t = 0?
(Enter the magnitude. Round your answer to at least two decimal places.)
_________m/s2
What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.)
_________°
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