How to Creatively Motivate Without Anger?

In our culture, it is a common thing to motivate other people with anger.  We do this because we believe it is a necessary component in affecting change.

We become angry with our cancer so that we can overcome it.  We become angry with world poverty or violence so that we can rise up and take action.

We become angry with drunk drivers, cheaters, stealers, liars and anybody we judge is doing something "bad" or "wrong".

I personally do not believe we need anger to motivate ourselves or others to change.  I believe we can do it lovingly.  I just don't know how to affect change AND do it without anger in some situations.

Even when it comes to our children.  At times, I find that I ask 6 or 7 times for my daughter to brush her teeth, and by the 8th time, I'm raising my voice in anger to motivate her to do what I want her to do because I want her to have healthy teeth.  I would prefer she brush her teeth without the prodding and without my anger to motivate her.  (Yes I've explained the importance of brushing teeth to her).