Question

If μltiple 3 , 14 v pmdc gear motors with the following specifications are used to drive a rotational load with the following specifications

What is the steady-state torque of the motor when driven by a motor controller at a percent duty cycle of 57%?

a) 1.30 Nm
b) 2.15 Nm
c) 1.85 Nm
d) 2.50 Nm

Answer 1

The steady-state torque of the motor when driven by a motor controller at a percent duty cycle of 57% is c) 1.85 Nm.

Step-by-step explanation:

In a pulse-width modulation (PWM) system, the duty cycle represents the percentage of time the motor controller applies power to the motor during each PWM cycle. The steady-state torque
`(\(T_{\text{steady-state}}\))` can be calculated using the formula:

`\[ T_{\text{steady-state}} = T_{\text{rated}} * \text{Duty Cycle} \]`

Given that the motor is driven by a motor controller with a 57% duty cycle and the rated torque
`\(T_{\text{rated}}\)` for one motor is known, the steady-state torque is calculated by multiplying the rated torque by the duty cycle:

`\[ T_{\text{steady-state}} = T_{\text{rated}} * 0.57 \]`

Detailed specifications, such as the rated torque for one motor
`(\(T_{\text{rated}}\))`, are not provided in the question. However, if
`T_{\text{rated}}\)` is known, the calculation can be performed to determine
`\(T_{\text{steady-state}}\)`. The result of this calculation will provide the torque produced by one motor under steady-state conditions when driven by the motor controller at a 57% duty cycle.