A bath toy is floating stationary in water such that half of the toy is above water and half of the toy is below the water. A kid pulls the toy 3.9 cm down into the water and then lets go. The toy then proceeds to bob up and down. It bobs up and down 26 times in a min.
I have to find out how to write the equation for the oscillations, and i figured out the amplitude is 1.95, but am confused on how to figure out the rest.
To find the frequency of the toy's up and down motion, we can divide the total number of cycles in a minute by 2, since one complete cycle includes both the upward and downward motion.
Let's calculate the frequency step-by-step:
1. Recall that the toy bobs up and down 26 times in a minute.
2. Divide this value by 2 to get the number of complete cycles: 26 / 2 = 13 complete cycles per minute.
3. The frequency is defined as the number of cycles per unit of time. Since the number of cycles we have is per minute, the frequency is 13 cycles per minute.
So, the frequency of the toy's up and down motion is 13 cycles per minute.