MediumMathematicsHigh School (9–10)Mensuration › Areas and PerimetersNumericalreal-lifeBoard ExamSAT
The string of a pendulum is 56 cm long. The bob swings through an angle of 45° from one end of its…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
The string of a pendulum is long. The bob swings through an angle of from one end of its path to the other. How far does the bob travel in one swing? How far does it travel, in metres, in swings from one end to the other? Take .
Need a reminder? The key ideaShow
An arc that makes an angle at the centre has length . The perimeter of a sector is . In radians, .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , .
Step 1. One swing. .
Step 2. Ten swings. .
Answer: one swing is and ten swings are .
Watch out. The answer must be in metres, so divide by .
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