nshova783
Answered

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Find the length of a pendulum which describes an arc of 5.5 cm when it
turns through an angle of 7°.

​

Sagot :

regalmocha17

Pendulum length is approximately: 45.02 cm

To solve for the length of the pendulum when given the arc length and central angle, we can use the formula:

s = rΘ

Where:

s represents the arc length

r represents the radius or length of a pendulum

Θ represent the central angle (in radians)

Convert the angle into radians first.

Formula:

1° × pi/180  

so

7° x pi/180 = 7pi/180 radians

Divide s by Θ to get r.

---> 5.5 cm / (7pi/180)

---->( 5.5 × 180 )/ 7pi

= 45.018 cm

round to nearest hundredth or however you want it

= 45.02 cm

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