To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest as in the figure below. The belt is a 160-turn coil. When the patient inhales, the area encircled by the coil increases by 38.0 cm2. The magnitude of Earth's magnetic field is 50.0 µT and makes an angle of 27.0° with the plane of the coil. Assuming a patient takes 1.90 s to inhale, find the magnitude of the average induced emf in the coil during that time.