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Grade: 11

                        

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.

4 years ago

Answers : (1)

Vikas TU
12141 Points
							
Average accln. = (vjcap – (-vjcap))/(pi/w) = > 2vjcap*w/pi
where w is constant angular velocity given.
Now, Given
2v*w/pi  =  x * dv/dt
dv/v  = (2*w/x*pi)dt
integerate both sides
logv = 2wt/pi*x
x = 2wt/(pi)logv
 
4 years ago
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