An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10.0 m and, in starting, rotates according to θ = 0.39t2, where t in seconds gives θ in radians. When t = 5.0 s, what are the astronaut's angular velocity? When t = 5.0 s, what is the astronaut's linear speed? When t = 5.0 s, what is the astronaut's tangential acceleration (magnitude only)? When t = 5.0 s, what is the astronaut's radial acceleration (magnitude only)?
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.
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10.0 m and, in starting, rotates according to θ = 0.39t2, where t in seconds gives θ in radians.
When t = 5.0 s, what are the astronaut's
When t = 5.0 s, what is the astronaut's linear speed?
When t = 5.0 s, what is the astronaut's tangential acceleration (magnitude only)?
When t = 5.0 s, what is the astronaut's radial acceleration (magnitude only)?
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