A 170 g ball is tied to a string. It is pulled to an angle of 4.40° and released to swing as a pendulum. A student with a stopwatch finds that 12 oscillations take 9.00 s. How long is the string? Express your answer in centimeters (cm).

Hey there!

We can use the formula [ ] where T = period, L = length, and g = 9.80m/s².

Information we are given:

Find how long it takes for the ball to make 1 oscillation.

T = 9/12

T = 0.75s

Using the formula above, solve for L.

L ≈ 0.140

Note that this is in meters so convert it to centimeters (1m = 100cm).

0.140m → 14cm

Therefore, the string [ 14cm ] long.

Best of Luck!

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