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video surveillance camera systems
How much work is done servo motor?
A robot arm that controls the position of a Video Camera in an automatic monitoring system is manipulated by a servo motor that exerts a force on a push bar. The force is given by F (x) = x 2 where x is the position of the end of the push rod. If the push rod moves from x 1 = 0 m x2 = 17 m, how much work was that the servo motor to do: Answer in units of J. Note F (x) = x ^ 2 …… x2 no
work is integral (dx F) here F = x ^ 2, so we have to work = integral (x ^ 2 dx) = x ^ 3 / 3 evaluated at the limits of 0 and 17, we work made is: Work = 1 / 3 (17 ^ 3 -0) = 1637.7J