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One complete revolution is equal to an angular displacement of 2π radians, so the
body’s average angular velocity is
- The angular velocity of a rotating disk increases from 2 rad/s to
5 rad/s in 0.5 s. What’s the disk’s average angular acceleration?
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By definition
- Derive an expression for centripetal acceleration in terms of
angular speed.
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For an object revolving with linear speed v at a distance r from the center of
rotation, the centripetal acceleration is given by the equation ac = v^2 /r. Using the
fundamental equation v = rω, we find that