N.Y. Comp. Codes R. & Regs. tit. 20, § 481.9
(b) The applicable rate of tax for a truck is determined by the unloaded weight as set forth in the permit. The same rate is applicable whether the truck is operated with or without a load.
Example:
If the unloaded weight of a truck if 8,500 pounds, the applicable tax rate if $.004, whether it carries a load of 5,000 or 10,000 pounds. If it travels 100 miles the tax is computed as follows:
100 × $.004 = $.40
(c) The applicable rate of tax for a tractor is determined by its unloaded weight as set forth in its permit, whether it is operated alone or in combination with another motor vehicle.
Example:
A tractor with an unloaded weight of 6,000 pounds travels 50 miles, a trailer with a maximum gross weight of 25,000 pounds is then attached and the tractor-trailer combination travels 50 miles. The applicable tax rate for the entire trip is $.010. The tax is computed as follows:
100 × $.010 = $1.00
Tax Law, § 503(3)