Question

in physics lab, tallulah attaches a wireless sensor to one of the spokes of a bicycle wheel spinning freely on its axle. the graph below shows the sensors height above the ground, in centimeters, over time t, measured in seconds. what is the midline and what does it represent in this context? answer attempt 1 out of 2 the midline is y = and it represents

Explanation:

Step1: Identify max and min values

The maximum height of the sensor is $h_{max}=64$ cm and the minimum height is $h_{min}=16$ cm.

Step2: Calculate the mid - line

The formula for the mid - line of a periodic function is $y=\frac{h_{max} + h_{min}}{2}$. So, $y=\frac{64 + 16}{2}=\frac{80}{2}=40$.

Step3: Interpret the mid - line

In the context of the bicycle wheel, the mid - line represents the height of the center of the bicycle wheel above the ground. Since the motion of the sensor on the spoke is periodic around the center of the wheel, the mid - line is the average height of the sensor over a full cycle, which is equivalent to the height of the wheel's center.

Answer:

The midline is $y = 40$ and it represents the height of the center of the bicycle wheel above the ground.