A commercial jetliner, starting from rest, accelerates down the runway and attains a linear speed of 72 m/s at liftoff. The radius of each tire is 0.42 m. What is the angular speed of a tire at liftoff? As the plane moves down the runway, the acceleration of each tire has a magnitude of 1.9 rad/s2. Determine the magnitude of the angular displacement (in radians) of a tire from start to liftoff.
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.
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A commercial jetliner, starting from rest, accelerates down the runway and attains a linear speed of 72 m/s at liftoff. The radius of each tire is 0.42 m.
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What is the angular speed of a tire at liftoff?
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As the plane moves down the runway, the acceleration of each tire has a magnitude of 1.9
rad/s2. Determine the magnitude of the
angular displacement (in radians) of a tire from start to liftoff.
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