A geared dc motor uses a 10kHz PWM signal to control its speed. It uses an 18V supply voltage and requires a minimum duty cycle of 15% to overcome frictional forces in the motor/gearbox and start the motor rotating. As the duty cycle is increased, the motor speed follows a linear relationship with this PWM signal up to the maximum angular velocity of 1850 rad/s. What duty cycle is required to run the motor at 888 rad/s?

Answer = 56