Answer
50 sec/year
Work Step by Step
1. Find the deg/year
$\frac{360^{\circ}}{26000year}=\frac{9}{650}$ deg/year
2. Convert deg/year to min/year by multiplying by 60
$\frac{9}{650}\times 60= \frac{54}{65}$
3. Convert min/year to sec/year by multiplying by 60
$\frac{54}{65}\times 60=\frac{648}{13} \approx 50$