Question

# 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) angular frequency, (d) amplitude, and (e) maximum speed of the glider?

Solutions

Verified
4.8 (6 ratings)
Step 1
1 of 6

(a) When the object is oscillating about the origin, repeatedly going left and right by identical amounts it has a time period $T$ where the period $T$ is the time required for one complete oscillation or cycle. So, the given time $t=33$ s is the time required to complete $N=$ 10 cycles. In this case, the time period will be given by

$\begin{gather*} T = \dfrac{t}{N} \tag{1}\\ \end{gather*}$

Now, we plug the values for $t$ and $N$ into equation (1) to get $T$

$T = \dfrac{t}{N} = \frac{33 \mathrm{~s}}{10} = \boxed{3.3 \mathrm{~s}}$

## Recommended textbook solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651Randall D. Knight
3,508 solutions

#### Physics for Scientists and Engineers

9th EditionISBN: 9781133947271 (9 more)John W. Jewett, Raymond A. Serway
6,054 solutions

#### Physics for Scientists and Engineers with Modern Physics

10th EditionISBN: 9781337553292 (10 more)John W. Jewett, Raymond A. Serway
3,196 solutions

#### Classical Mechanics

1st EditionISBN: 9781891389221 (4 more)John R. Taylor
741 solutions