Question

in physics lab, adriel attaches a wireless sensor to one of the spokes of a bicycle wheel of radius 19 centimeters rolling forward at a constant rate on level ground. at time ( t = 0 ) seconds, the sensor first is touching the ground. the next time the sensor touches the ground occurs at time ( t = 8 ) seconds.
the graph below shows two full revolutions of the bicycle wheel, as well as a dashed midline, starting at time ( t = 0 ). what is the period in this context?

Explanation:

Step1: Understand the concept of period

The period of a periodic function is the time it takes for the function to complete one full cycle. In the context of the bicycle wheel, one full cycle is when the sensor touches the ground again after starting at \(t = 0\).

Step2: Identify the given time for one full cycle

We are given that the sensor first touches the ground at \(t=0\) seconds and the next time it touches the ground is at \(t = 8\) seconds. This time interval represents one full revolution (one full cycle of the periodic motion).

Answer:

The period is \(8\) seconds.