Rotational speed is measure in terms of rotations per second (not necessarily per second, you could use other units of time, but let it be per second) whereas torque is measured in newtons, which are units of force. The amount of rotations per second that you get per newton of applied force depends upon the inertia (measured as "moment arm" for a rotating body) that the force has to overcome.
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Rotational speed refers to the rate at which an object rotates around an axis, typically measured in revolutions per minute (RPM). Torque, on the other hand, is the rotational force applied to an object, measured in units such as Newton-meters or pound-feet. In simple terms, rotational speed describes how fast something is spinning, while torque describes the force causing the spinning.
The relationship between disk rotational inertia and the speed at which a disk spins is that the rotational inertia of a disk affects how quickly it can change its speed when a torque is applied. A disk with higher rotational inertia will spin more slowly for a given torque, while a disk with lower rotational inertia will spin faster for the same torque.
Torque is the rotational force applied to an object, while velocity is the speed at which the object is moving. In rotational motion, torque affects the angular acceleration of an object, which in turn can impact its angular velocity. The relationship between torque and velocity is described by the equation: Torque = Moment of inertia x Angular acceleration.
Speed control is used to regulate the speed of a motor by adjusting the voltage or current supplied to it. Torque control, on the other hand, focuses on regulating the amount of force or rotational power produced by the motor. Speed control is more about maintaining a desired speed, while torque control is about adjusting the motor's output force.
The relationship between torque and angular acceleration in rotational motion is described by Newton's second law for rotation, which states that the torque acting on an object is equal to the moment of inertia of the object multiplied by its angular acceleration. In simpler terms, the torque applied to an object determines how quickly it will start rotating or change its rotation speed.
The loss of rotational speed is due to slip in the motor. Slip is a natural characteristic of induction motors and is necessary for torque production. The difference between the synchronous speed (1800 RPM) and actual shaft speed (1725 RPM) represents the slip in the motor.