1. 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)

2. Hi mcramsay, welcome to the Forum!

Originally Posted by mcramsay
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.

Originally Posted by mcramsay
just a note i cant find the correct symbol for pi hence in the question i have written it as (pi)