Find the transfer function and estimated motor speed to true motor speed ratio for the DC motor.

Description

The DC motor showed in the block diagram has a voltage input with true motor position output. There is a second loop with PI controller with only purpose is to output an estimated motor angular velocity given the input voltage and true motor position found. Please help me find the transfer function and ratio of estimated motor speed to true motor speed.

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Find the transfer function and estimated motor speed to true motor speed ratio for the DC motor.
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