Grade 11 · Science · Physics

11th grade Springs in motion: period, frequency and graphs worksheet

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Springs in motion: period, frequency and graphs

Grade 11 Science Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

A mass on a spring makes 20 full cycles in 9 s. What is the period, to 0.01 s, Bo?
A mass on a spring makes 12 full cycles in 30 s. What is the period, to 0.01 s, Kira?
3.
In the graph, what is the amplitude of the mass's motion, Jun?
- 8 cm
- 2 cm
- 16 cm
4.
In the graph, what is the period of the motion, Luz?
Use the picture in question 3.
- 2 s
- 4 s
- 1 s
5.
In the graph, what is the amplitude of the mass's motion, Milo?
- 4 cm
- 10 cm
- 5 cm
6.
A mass on a spring has a period of 0.25 s. What is its frequency, Noah?
- 4 Hz
- 0.25 Hz
- 2.5 Hz
7.
A mass on a spring makes 5 full cycles each second. What is its period, Pia?
- 2 s
- 0.2 s
- 5 s
8.
Which two things set the period of a mass on a spring, by Tala's reading (OpenStax)?
- The amplitude by itself
- The mass and the spring constant
- The amplitude and the mass
9.
A mass on a spring is pulled down 2 cm and let go, then 6 cm and let go. How do the two periods compare, Zee?
- The 6 cm swing is quicker
- They are the same
- The 6 cm swing takes 3 times as long
10.
Which change makes the period of a mass on a spring longer, Esme?
- A bigger pull before letting go
- A stiffer spring
- A heavier mass

Springs in motion: period, frequency and graphs. Every version has 10 questions, and the answer key prints on the second page.

I can find the period from a count of cycles, and switch between period and frequency with f = 1 ÷ T.
I can read amplitude, period, turning points and the fastest point from a position-time graph.
I can use T = 2π√(m ÷ k), scale it with mass and stiffness, find v max = 2πA ÷ T, and find k from a measured period.

Standard: none (IXL parity)

period: The time for one full cycle, in seconds

frequency: Cycles per second, in hertz: f = 1 ÷ T

amplitude: The biggest distance from equilibrium

equilibrium: The middle position where the spring's net force is zero

turning point: Where the mass stops and turns back, at ±A

spring constant k: How stiff a spring is, in N/m

Your child turned period and frequency around. Period = time ÷ number of cycles, in seconds; frequency = cycles ÷ time, in hertz.

Your child left out the square root. T = 2π√(m ÷ k), so take the square root of m ÷ k before multiplying by 2π.

Your child left out 2π. The fastest speed is v = 2πA ÷ T, since the mass covers a circle's worth of phase each period.

What is the most common mistake with springs in motion: period, frequency and graphs?

Your child turned period and frequency around. Period = time ÷ number of cycles, in seconds; frequency = cycles ÷ time, in hertz.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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