How is it possible to recreate standard units of measure (meter, kilogram, second) with Renaissance-level technology?
A man (let's call him "Traveler") gets transported to a different world, which is very much Earth-like. This Traveler was able to bring a good amount of knowledge from modern day Earth, and this can be very useful because this world's tech level is barely Renaissance. However, Traveler could not bring any material object with him, not even the simplest tape measure. Naturally, this creates problems in recreating newer technology, because all of the knowledge that Traveler has is based on metric system.
Most of all, Traveler is bothered by the gravitational acceleration of this new world. If feels "off" to him, not by much, but he is pretty sure that it can be up to 10% different from Earth's standard 9.81 m2/s.
Would it be possible to accurate measure gravity of the new world? Traveler knows his height, and this gets him within 1% accuracy of the meter, but has no reference for kilogram or second? Traveler can talk to the brightest minds of this new world, and they are open to the idea of conducting experiments, however there are not yet any Galileos among them.
Related question: How to create precise measurements from scratch deals with the same problem, however, in that question starting conditions, as well as criteria of success were different.
P.S. A clarification - Traveler had an opportunity to prepare for this trip and memorize various blueprints and reference materials. His plan was to recreate SI units once he arrived, but different gravity was an unexpected factor which stopped him from being able to accurately recreate kilogram and second.