The U.S. government says it would not have to cleanup crews would harken back to Grandma's days and shake their mops more.

For some time, both to save money and effort, the government has been using disposable mops in many buildings. But sharp-eyed agents noted that the mops werer being trashed quicker than the manufacturer's specifications specified.

According to the contract the government has for throw-away mops, each dust-pusher is supposed to be able to sweep clean anywhere from 800,000 to 1.5 million square feet of floors before it is to be retired. For reference, officials say that the giant Forrestal building has about 750,000 square feet of floor space.

In a recent memo on the subject, James F. Steele Jr., head of the Washington areas public buildings noted:

SUBJECT: Disposal Mops.

TO: All area and Building Managers.

"It had been brought to my attention that the disposable dust mops used for floor weeping in some buildings are not being utilized to their full capacity. The mops have been observed discarded in trash containers with only light soil on the yard strands.

"To increase the productivity of the mops they should be periodically swept, shaken or vcuumed by the user. This operations should be monitored by the supervisor to be sure that they are cleaned correctly and no longer sweep effectively before they are discard.

"The manufacturers claim that their respective mops will sweep 800,000 to 1,500,000 square feet of floor space before they lose their effectiveness.

"A study conducted by this office in 1975 determined that with periodic shaking or vacuuming, the mops should sweep an average of 100,000 square feet of general office and corridor space before they need retreating to renew their effectiveness."