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For a body moving in circular motion with a constant angular velocity, the magnitude of average acceleration over a period of half a revolution is x times th emagnitude of its instantaneous acceleration. Find x. For a body moving in circular motion with a constant angular velocity, the magnitude of average acceleration over a period of half a revolution is x times th emagnitude of its instantaneous acceleration. Find x.
Average accln. = (vjcap – (-vjcap))/(pi/w) = > 2vjcap*w/piwhere w is constant angular velocity given.Now, Given2v*w/pi = x * dv/dtdv/v = (2*w/x*pi)dtintegerate both sideslogv = 2wt/pi*xx = 2wt/(pi)logv
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