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im not too sure, but most relays can switch both...
From the datasheet: Max Turn on time = .5ms Max Turn off time = .5msif you do your pulsing correctly you should be able to have proper speed control.
Why don't you break out your calculator for a quick run down of the available data, when you think you've found the Holy Grail, instead of starting a discussion that's a waste of time, since it's so easy to see that it's not doable?
[...] Even if the idea doesn't work, it is clever.
Transistors did not always switch at nanosecond rates. Relays have a long way to go to work fast enough, as you point out, but who knows what the future will bring. These solid-state relays are pretty remarkable compared to their mechanical forebears.
You are in a life or death situation. Kidnapped by evil people, you are trapped.
The only way to escape is to create a small robot that is laden with explosives, which will travel to the evil people and detonate. The problem is, there are no MOSFETs to be found. You panic. You die.
Or, you remember this thread, and find some DC SSRs lying around. You remember that the PWM frequency issue, so you lower it. The robot works, the evil people die,
and MacGyver sends you an autographed picture.