Practice Period in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

The time required for one complete cycle of a repeating wave or oscillation to occur, measured in seconds.

How long it takes a swing to go all the way and come back to where it started.

Showing a random 20 of 50 problems.

Example 1

medium
A simple pendulum of length L=1.0 mL = 1.0\text{ m} has period T=2πL/gT = 2\pi\sqrt{L/g} (g=9.8g = 9.8). Find TT.

Example 2

easy
A buoy bobs up and down completing one cycle every 3 s3\text{ s}. What is its period?

Example 3

easy
A wave has period T=0.4 sT = 0.4\text{ s}. Find its frequency.

Example 4

challenge
A pendulum on the Moon has the same length as one on Earth. If gMoon=1.6 m/s2g_\text{Moon} = 1.6\text{ m/s}^2 and gEarth=9.8 m/s2g_\text{Earth} = 9.8\text{ m/s}^2, find TMoon/TEarthT_\text{Moon}/T_\text{Earth}.

Example 5

easy
If frequency is measured in Hz, period is measured in ___.

Example 6

easy
A pendulum completes 3030 swings in 60 s60\text{ s}. Find its period.

Example 7

hard
A wave travels 48 m48\text{ m} in 4 s4\text{ s} and has wavelength λ=4 m\lambda = 4\text{ m}. Find its period.

Example 8

medium
A wave has frequency f=200 Hzf = 200\text{ Hz} in a medium where its wavelength is λ=1.5 m\lambda = 1.5\text{ m}. Find its period and wave speed.

Example 9

challenge
A wave travels 3030 m in 66 s and has wavelength λ=2\lambda = 2 m. Find its period.

Example 10

medium
A wave completes 15001500 cycles in 3030 s. Find its period.

Example 11

easy
A signal repeats every 250 ms250\text{ ms}. Find its frequency in Hz.

Example 12

easy
True or false: shorter periods correspond to higher frequencies.

Example 13

medium
A wave has frequency f=125f = 125 Hz. Find its period in milliseconds.

Example 14

medium
An FM radio station broadcasts at 100 MHz100\text{ MHz}. Find its period.

Example 15

medium
A wave has period T=0.25T = 0.25 s and travels at v=8v = 8 m/s. Find its wavelength.

Example 16

hard
A wave on a string has λ=0.6 m\lambda = 0.6\text{ m} and travels at v=24 m/sv = 24\text{ m/s}. Find its period in milliseconds.

Example 17

medium
A laser oscillates at frequency 5×1014 Hz5\times10^{14}\text{ Hz}. Find its period in femtoseconds (1 fs=10−15 s1\text{ fs} = 10^{-15}\text{ s}).

Example 18

easy
A wave has frequency f=4f = 4 Hz. Find its period.

Example 19

medium
A wave has period T=8 msT = 8\text{ ms}. Find its frequency in Hz.

Example 20

medium
A sound wave has frequency f=440 Hzf = 440\text{ Hz} (A above middle C). Find its period in milliseconds.
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