解:
f(x)=sinwx+coswx=根号2sin(wx+π/4)
=根号2sin[w(x+π/4w)]
向右平移π/3个长度单位
f(x)=根号2sin[w(x+π/4w-π/3)]
则wπ/6+π/4-wπ/3=π/4-wπ/6=-π/2
所以-wπ/6=-3π/4
w=9/2