How Do I Calculate Torque for a Rotating Platform with a Stepper Motor?

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Art124
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Hello

I'm working on a project which requires a rotating platform.

I'm planning on turning the platform using a stepper motor,
however I'm sure how to calculate the torque required to move
the load.

Here is what I have:
the moment of inertial for the load and platform is: 2700 oz in2
the platform must turn 30 degrees in 2 seconds ( have a angular velocity of 0.2618 rad/s)
the motor is directly attached to the platform (no pulleys or gears)

I tried calculating the torque using the method in the pictures.

The torque I got seems too large to move a load which weights 5 lb. Perhaps I should have used the step angle, or maybe the formula I used does not apply to this problem.

Could someone help I would very much appropriate it. Thank you in advance.
 

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Well what you have is roughly 15 foot-pounds of torque, which I believe most electrical motors should be easily capable of.