the actual answer lies within your future.
a PLC is a de-facto piece of equipment that millions of programmers can work with, make programs and troubleshoot.
the PLC has all the certifications and meets all the regulations and is accepted throughout the industry.
the Arduino is a teaching tool and also a hobbyiest device.
from the purely techincal aspect, there is no difference in getting a unit to work.
from a speed to end result, I would say that if you do not have experiance in either, the Arduino is easier to program.
the cost will be a fraction of a PLC.
if you have any skill in programming one or the other, that is going to make yoru life easir.
if you have general programming skills, the Arduino is easier to learn than ladder.
if the project will be used in industry, go PLC
if it is just a school project and you have no future use for microcontrollers, then the lower cost and easier to learn Arduino.
as was mentioned, you will need to have a power interface that sends power to the motors.
how that interface gets a signal is exactly the same from both
the Arduino will cost under $50 for all supporting everything, including a case.
the PLC will cost more than that, but does not need other add-on parts.
lastly, you have a magnificant group here to help you if you need it.
for the PLC, not sure where to get help.
but, the program is so simple and so basic that either way, you should be able to get it done is short order.