Problem 2E

An air-track glider attached to a spring oscillates between the 10 cm mark and the 60 cm mark on the track. The glider completes 10 oscillations in 33 s. What are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider?

Solution 2E

Part (a)

Step 1 of 5:

An air-track glider is oscillating between the tracks. We are going to find the time period of the oscillations.

The angular speed β΅ = 10 oscillations /33 s

We know that one oscillation is nothing but one revolution. Therefore

The angular speed β΅ = 10 rev /33 s = 0.303 rev/s

The angular speed β΅ = 0.303 x 2π rad/s = 1.904 rad/s