An air-track glider attached to a spring oscillates between the 13.0 cm mark and the 63.0 cm mark on the track. the glider completes 15.0 oscillations in 32.0 s . what are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider?

(A) = 2.13 s

(B) = 0.47 Hz

(C) = 0.25 m

(D) = 0.74 m/s

Explanation:

number of oscillations (n) = 15

time (t) = 32 secs

start point (L1) = 13 cm = 0.13 m

End point (L2) = 63 cm = 0.63 m

(A) period = time / number of oscillation

           = 32 / 15 = 2.13 s

(B) frequency = 1 / period

              = 1 / 2.13 = 0.47 Hz

(C) Amplitude = 0.5 ( L2 - L1 )

                           = 0.5 ( 0.63 - 0.13 )

                          = 0.25 m

(D) max speed = (2π / T) x A

                        =  (2π / 2.13) x 0.25

                       = 0.74 m/s

“Forces can be positive or negative. Actually, forces which are aimed to the right are usually called positive forces. And forces which are aimed to the left are usually said to be in a negative direction.”

Explanation: Hopefully this helps! :)