MySQL process check with cron

I can run this script fine from the terminal and I get the else but when I have cron set to run it every 5 minutes I am sent a email and the mysql server is restarted every 5 minutes. So I am guessing that the cron job does not have the correct permission to see if the process is running, so it restarts the server and sends an email. How would I get this script to execute from cron and be able to check if mysql process is running?

#!/bin/sh
UP=$(service mysql status | grep 'mysql start/running' | wc -l);
if [ "$UP" -ne 1 ];
then
        sudo service mysql start
        cat /var/db-backup/mysql_restart_email | msmtp someone@gmail.com
else
        echo "All is well.";
fi