It may have been the camera angle but I did not see the spindle turning. Variable speed control boxes have to bring up the speed and are not instantaneous. I would suggest you set it to a lower speed and hold the spindle and see how much torque it has. Be sure to remove the spur center so it does not tear up your hand. Just be ready to turn it loose if you cannot hold it. It sounds like the belt is slipping so you might have to adjust the motor down to tighten up the belt. The belt does not need to be super tight just tight enough to spin the spindle. Over tightening the belt will lead to it breaking or wearing out the bearings on the head stock. The real test is to turn a spindle and see how it performs. A 6" lathe is pretty small and a 1/3 HP motor does not have much umph. That would be a good lathe to turn spindles or turn pens. The 6" swing limits what you can turn. It does not take a lot of power to turn spindles and/or pens.
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I didn’t see the spindle move at all. Was the belt off?
It may have been the camera angle but I did not see the spindle turning. Variable speed control boxes have to bring up the speed and are not instantaneous. I would suggest you set it to a lower speed and hold the spindle and see how much torque it has. Be sure to remove the spur center so it does not tear up your hand. Just be ready to turn it loose if you cannot hold it. It sounds like the belt is slipping so you might have to adjust the motor down to tighten up the belt. The belt does not need to be super tight just tight enough to spin the spindle. Over tightening the belt will lead to it breaking or wearing out the bearings on the head stock. The real test is to turn a spindle and see how it performs. A 6" lathe is pretty small and a 1/3 HP motor does not have much umph. That would be a good lathe to turn spindles or turn pens. The 6" swing limits what you can turn. It does not take a lot of power to turn spindles and/or pens.
Sounds totally normal to me