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Math Help - finding torque using differentiation

  1. #1
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    finding torque using differentiation

    hey guys, my first post on this site! i have this problem that i really have no idea where to go with, i know ive got to use differentiation turnining points but im just not sure how to apply it, any advice would be great, the question is this:

    the torque T of an electric motor is given by:
    T = 3 sin(2θ) + 6 sin(θ), where θ is the Torque position and 0 ≤ θ < (pi) using differentiation find
    1.) the value of θ for which maximum torque occurs
    2. the maximum torque

    just a note i cant find the correct symbol for pi hence in the question i have written it as (pi)
    if any one has any ideas about this any help would be great. thanks alot
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  2. #2
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    Hi mcramsay, welcome to the Forum!

    Quote Originally Posted by mcramsay View Post
    i have this problem that i really have no idea where to go with, i know ive got to use differentiation turning points but im just not sure how to apply it, any advice would be great, the question is this:

    the torque T of an electric motor is given by:
    T = 3 sin(2θ) + 6 sin(θ), where θ is the Torque position and 0 ≤ θ < (pi) using differentiation find
    1.) the value of θ for which maximum torque occurs
    2. the maximum torque
    Where are you having difficulties? For 1.), differentiate T with respect to theta and put the derivative equal to 0. Can you solve that equation for theta?

    For 2.), plug in the values of theta that you found for 1.), and see which of them gives the greatest value for T.

    Quote Originally Posted by mcramsay View Post
    just a note i cant find the correct symbol for pi hence in the question i have written it as (pi)
    if any one has any ideas about this any help would be great. thanks alot
    See the LaTeX tutorials at http://www.mathhelpforum.com/math-help/latex-help/.
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