Record clamp/weight and turntable speed


Hey all. So today I thought for the first time if having a substantial weight or clamp on the spindle affects the platter rotation speed. It doesn't for me, as far as I can tell, but if not, why would that be so?
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Thank you both for your answers, topical and metaphorical both. they both help out, especially the one about the turntable platter getting up to speed, no matter what the weight.
I have the Herbie's mat now. Without a clamp, the warped records (those I have) tend to skew the sound.