What would cause your 98 Rodeo to whine at start up and with acceleration Does not appear to be a belt?

A whining noise at startup and during acceleration in your 98 Rodeo could indicate an issue with the Power Steering pump or the alternator. If the noise persists even when the belt is not the culprit, it could also point to a problem with the transmission or a failing water pump. Additionally, low fluid levels in the power steering or transmission systems might exacerbate the whining sound. It's advisable to have a mechanic inspect the vehicle to pinpoint the exact cause.